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ASTM D 790-2007(弯曲)

ASTM D 790-2007(弯曲)

Designation:D790–07Standard Test Methods forFlexural Properties of Unreinforced and Reinforced Plastics and Electrical Insulating Materials1This standard is issued under thefixed designation D790;the number immediately following the designation indicates the year of original adoption or,in the case of revision,the year of last revision.A number in parentheses indicates the year of last reapproval.A superscript epsilon(e)indicates an editorial change since the last revision or reapproval.This standard has been approved for use by agencies of the Department of Defense.1.Scope*1.1These test methods cover the determination offlexural properties of unreinforced and reinforced plastics,including high-modulus composites and electrical insulating materials in the form of rectangular bars molded directly or cut from sheets, plates,or molded shapes.These test methods are generally applicable to both rigid and semirigid materials.However,flexural strength cannot be determined for those materials that do not break or that do not fail in the outer surface of the test specimen within the5.0%strain limit of these test methods. These test methods utilize a three-point loading system applied to a simply supported beam.A four-point loading system method can be found in Test Method D6272.1.1.1Procedure A,designed principally for materials that break at comparatively small deflections.1.1.2Procedure B,designed particularly for those materials that undergo large deflections during testing.1.1.3Procedure A shall be used for measurement offlexural properties,particularlyflexural modulus,unless the material specification states otherwise.Procedure B may be used for measurement offlexural strength only.Tangent modulus data obtained by Procedure A tends to exhibit lower standard deviations than comparable data obtained by means of Proce-dure B.1.2Comparative tests may be run in accordance with either procedure,provided that the procedure is found satisfactory for the material being tested.1.3The values stated in SI units are to be regarded as the standard.The values provided in brackets are for information only.1.4This standard does not purport to address all of the safety concerns,if any,associated with its use.It is the responsibility of the user of this standard to establish appro-priate safety and health practices and determine the applica-bility of regulatory limitations prior to use.N OTE1—These test methods are not technically equivalent to ISO178.2.Referenced Documents2.1ASTM Standards:2D618Practice for Conditioning Plastics for TestingD638Test Method for Tensile Properties of PlasticsD883Terminology Relating to PlasticsD4000Classification System for Specifying Plastic Mate-rialsD4101Specification for Polypropylene Injection and Ex-trusion MaterialsD5947Test Methods for Physical Dimensions of Solid Plastics SpecimensD6272Test Method for Flexural Properties of Unrein-forced and Reinforced Plastics and Electrical Insulating Materials by Four-Point BendingE4Practices for Force Verification of Testing Machines E691Practice for Conducting an Interlaboratory Study to Determine the Precision of a Test Method2.2ISO Standard:3ISO178Plastics—Determination of Flexural Properties of Rigid Plastics3.Terminology3.1Definitions—Definitions of terms applying to these test methods appear in Terminology D883and Annex A1of Test Method D638.4.Summary of Test Method4.1A bar of rectangular cross section rests on two supports and is loaded by means of a loading nose midway between the supports.A support span-to-depth ratio of16:1shall be used unless there is reason to suspect that a larger span-to-depth ratio may be required,as may be the case for certain laminated materials(see Section7and Note7for guidance).1These test methods are under the jurisdiction of ASTM Committee D20on Plastics and are the direct responsibility of Subcommittee D20.10on Mechanical Properties.Current edition approved Sept.1,2007.Published October2007.Originally approved st previous edition approved in2003as D790–03.2For referenced ASTM standards,visit the ASTM website,,or contact ASTM Customer Service at service@.For Annual Book of ASTM Standards volume information,refer to the standard’s Document Summary page on the ASTM website.3Available from American National Standards Institute(ANSI),25W.43rd St., 4th Floor,New York,NY10036,.*A Summary of Changes section appears at the end of this standard. Copyright©ASTM International,100Barr Harbor Drive,PO Box C700,West Conshohocken,PA19428-2959,United States.4.2The specimen is deflected until rupture occurs in the outer surface of the test specimen or until a maximum strain (see 12.7)of5.0%is reached,whichever occurs first.4.3Procedure A employs a strain rate of 0.01mm/mm/min [0.01in./in./min]and is the preferred procedure for this test method,while Procedure B employs a strain rate of 0.10mm/mm/min [0.10in./in./min].5.Significance and Use5.1Flexural properties as determined by these test methods are especially useful for quality control and specification purposes.5.2Materials that do not fail by the maximum strain allowed under these test methods (3-point bend)may be more suited to a 4-point bend test.The basic difference between the two test methods is in the location of the maximum bending moment and maximum axial fiber stresses.The maximum axial fiber stresses occur on a line under the loading nose in 3-point bending and over the area between the loading noses in 4-point bending.5.3Flexural properties may vary with specimen depth,temperature,atmospheric conditions,and the difference in rate of straining as specified in Procedures A and B (see also Note 7).5.4Before proceeding with these test methods,reference should be made to the ASTM specification of the material being tested.Any test specimen preparation,conditioning,dimensions,or testing parameters,or combination thereof,covered in the ASTM material specification shall take prece-dence over those mentioned in these test methods.Table 1in Classification System D 4000lists the ASTM material speci-fications that currently exist for plastics.6.Apparatus6.1Testing Machine —A properly calibrated testing ma-chine that can be operated at constant rates of crosshead motion over the range indicated,and in which the error in the load measuring system shall not exceed 61%of the maximum load expected to be measured.It shall be equipped with a deflection measuring device.The stiffness of the testing machine shall be such that the total elastic deformation of the system does not exceed 1%of the total deflection of the test specimen duringtesting,or appropriate corrections shall be made.The load indicating mechanism shall be essentially free from inertial lag at the crosshead rate used.The accuracy of the testing machine shall be verified in accordance with Practices E 4.6.2Loading Noses and Supports —The loading nose and supports shall have cylindrical surfaces.The default radii of the loading nose and supports shall be 5.060.1mm [0.19760.004in.]unless otherwise specified in an ASTM material specification or as agreed upon between the interested parties.When the use of an ASTM material specification,or an agreed upon modification,results in a change to the radii of the loading nose and supports,the results shall be clearly identified as being obtained from a modified version of this test method and shall include the specification (when available)from which the modification was specified,for example,Test Method D 790in accordance with Specification D 4101.6.2.1Other Radii for Loading Noses and Supports —When other than default loading noses and supports are used,in order to avoid excessive indentation,or failure due to stress concen-tration directly under the loading nose,they must comply with the following requirements:they shall have a minimum radius of 3.2mm [1⁄8in.]for all specimens.For specimens 3.2mm or greater in depth,the radius of the supports may be up to 1.6times the specimen depth.They shall be this large if significant indentation or compressive failure occurs.The arc of the loading nose in contact with the specimen shall be sufficiently large to prevent contact of the specimen with the sides of the nose.The maximum radius of the loading nose shall be no more than four times the specimen depth.6.3Micrometers —Suitable micrometers for measuring the width and thickness of the test specimen to an incremental discrimination of at least 0.025mm [0.001in.]should be used.All width and thickness measurements of rigid and semirigid plastics may be measured with a hand micrometer with ratchet.A suitable instrument for measuring the thickness of nonrigid test specimens shall have:a contact measuring pressure of 2562.5kPa [3.660.36psi],a movable circular contact foot 6.3560.025mm [0.25060.001in.]in diameter and a lower fixed anvil large enough to extend beyond the contact foot in all directions and being parallel to the contact foot within 0.005mm [0.002in.]over the entire foot area.Flatness of foot and anvil shall conform to the portion of the Calibration section of Test Methods D 5947.7.Test Specimens7.1The specimens may be cut from sheets,plates,or molded shapes,or may be molded to the desired finished dimensions.The actual dimensions used in Section 4.2,Cal-culation,shall be measured in accordance with Test Methods D 5947.N OTE 2—Any necessary polishing of specimens shall be done only in the lengthwise direction of the specimen.7.2Sheet Materials (Except Laminated Thermosetting Ma-terials and Certain Materials Used for Electrical Insulation,Including Vulcanized Fiber and Glass Bonded Mica):7.2.1Materials 1.6mm [1⁄16in.]or Greater in Thickness —For flatwise tests,the depth of the specimen shall be the thickness of the material.For edgewise tests,the width of theTABLE 1Flexural StrengthMaterial Mean,103psiValues Expressed in Units of %of 103psi V r A V R B r C R D ABS9.99 1.59 6.05 4.4417.2DAP thermoset 14.3 6.58 6.5818.618.6Cast acrylic 16.3 1.6711.3 4.7332.0GR polyester19.5 1.43 2.14 4.05 6.08GR polycarbonate 21.0 5.16 6.0514.617.1SMC26.04.767.1913.520.4AV r =within-laboratory coefficient of variation for the indicated material.It is obtained by first pooling the within-laboratory standard deviations of the test results from all of the participating laboratories:Sr =[[(s 1)2+(s 2)2...+(s n )2]/n]1/2then V r =(S r divided by the overall average for the material)3100.BV r =between-laboratory reproducibility,expressed as the coefficient of varia-tion:S R ={S r 2+S L 2}1/2where S L is the standard deviation of laboratory means.Then:V R =(S R divided by the overall average for the material)3100.Cr =within-laboratory critical interval between two test results =2.83V r .DR =between-laboratory critical interval between two test results =2.83V R.specimen shall be the thickness of the sheet,and the depth shall not exceed the width(see Notes3and4).For all tests,the support span shall be16(tolerance61)times the depth of the beam.Specimen width shall not exceed one fourth of the support span for specimens greater than3.2mm[1⁄8in.]in depth.Specimens3.2mm or less in depth shall be12.7mm[1⁄2 in.]in width.The specimen shall be long enough to allow for overhanging on each end of at least10%of the support span, but in no case less than6.4mm[1⁄4in.]on each end.Overhang shall be sufficient to prevent the specimen from slipping through the supports.N OTE3—Whenever possible,the original surface of the sheet shall be unaltered.However,where testing machine limitations make it impossible to follow the above criterion on the unaltered sheet,one or both surfaces shall be machined to provide the desired dimensions,and the location of the specimens with reference to the total depth shall be noted.The value obtained on specimens with machined surfaces may differ from those obtained on specimens with original surfaces.Consequently,any specifi-cations forflexural properties on thicker sheets must state whether the original surfaces are to be retained or not.When only one surface was machined,it must be stated whether the machined surface was on the tension or compression side of the beam.N OTE4—Edgewise tests are not applicable for sheets that are so thin that specimens meeting these requirements cannot be cut.If specimen depth exceeds the width,buckling may occur.7.2.2Materials Less than1.6mm[1⁄16in.]in Thickness—The specimen shall be50.8mm[2in.]long by12.7mm[1⁄2in.] wide,testedflatwise on a25.4-mm[1-in.]support span.N OTE5—Use of the formulas for simple beams cited in these test methods for calculating results presumes that beam width is small in comparison with the support span.Therefore,the formulas do not apply rigorously to these dimensions.N OTE6—Where machine sensitivity is such that specimens of these dimensions cannot be measured,wider specimens or shorter support spans,or both,may be used,provided the support span-to-depth ratio is at least14to1.All dimensions must be stated in the report(see also Note5).7.3Laminated Thermosetting Materials and Sheet and Plate Materials Used for Electrical Insulation,Including Vulcanized Fiber and Glass-Bonded Mica—For paper-base and fabric-base grades over25.4mm[1in.]in nominal thickness,the specimens shall be machined on both surfaces to a depth of25.4mm.For glass-base and nylon-base grades, specimens over12.7mm[1⁄2in.]in nominal depth shall be machined on both surfaces to a depth of12.7mm.The support span-to-depth ratio shall be chosen such that failures occur in the outerfibers of the specimens,due only to the bending moment(see Note7).Therefore,a ratio larger than16:1may be necessary(32:1or40:1are recommended).When laminated materials exhibit low compressive strength perpendicular to the laminations,they shall be loaded with a large radius loading nose(up to four times the specimen depth to prevent premature damage to the outerfibers.7.4Molding Materials(Thermoplastics and Thermosets)—The recommended specimen for molding materials is127by 12.7by3.2mm[5by1⁄2by1⁄8in.]testedflatwise on a support span,resulting in a support span-to-depth ratio of16(tolerance 61).Thicker specimens should be avoided if they exhibit significant shrink marks or bubbles when molded.7.5High-Strength Reinforced Composites,Including Highly Orthotropic Laminates—The span-to-depth ratio shall be cho-sen such that failure occurs in the outerfibers of the specimens and is due only to the bending moment(see Note7).A span-to-depth ratio larger than16:1may be necessary(32:1or 40:1are recommended).For some highly anisotropic compos-ites,shear deformation can significantly influence modulus measurements,even at span-to-depth ratios as high as40:1. Hence,for these materials,an increase in the span-to-depth ratio to60:1is recommended to eliminate shear effects when modulus data are required,it should also be noted that the flexural modulus of highly anisotropic laminates is a strong function of ply-stacking sequence and will not necessarily correlate with tensile modulus,which is not stacking-sequence dependent.N OTE7—As a general rule,support span-to-depth ratios of16:1are satisfactory when the ratio of the tensile strength to shear strength is less than8to1,but the support span-to-depth ratio must be increased for composite laminates having relatively low shear strength in the plane of the laminate and relatively high tensile strength parallel to the support span.8.Number of Test Specimens8.1Test at leastfive specimens for each sample in the case of isotropic materials or molded specimens.8.2For each sample of anisotropic material in sheet form, test at leastfive specimens for each of the following conditions. Recommended conditions areflatwise and edgewise tests on specimens cut in lengthwise and crosswise directions of the sheet.For the purposes of this test,“lengthwise”designates the principal axis of anisotropy and shall be interpreted to mean the direction of the sheet known to be stronger inflexure.“Cross-wise”indicates the sheet direction known to be the weaker in flexure and shall be at90°to the lengthwise direction.9.Conditioning9.1Conditioning—Condition the test specimens at236 2°C[73.463.6°F]and5065%relative humidity for not less than40h prior to test in accordance with Procedure A of Practice D618unless otherwise specified by contract or the relevant ASTM material specification.Reference pre-test con-ditioning,to settle disagreements,shall apply tolerances of 61°C[1.8°F]and62%relative humidity.9.2Test Conditions—Conduct the tests at2362°C[73.46 3.6°F]and5065%relative humidity unless otherwise specified by contract or the relevant ASTM material specifica-tion.Reference testing conditions,to settle disagreements, shall apply tolerances of61°C[1.8°F]and62%relative humidity.10.Procedure10.1Procedure A:10.1.1Use an untested specimen for each measurement. Measure the width and depth of the specimen to the nearest 0.03mm[0.001in.]at the center of the support span.For specimens less than2.54mm[0.100in.]in depth,measure the depth to the nearest0.003mm[0.0005in.].These measure-ments shall be made in accordance with Test Methods D5947.10.1.2Determine the support span to be used as described in Section7and set the support span to within1%of the determinedvalue.10.1.3Forflexuralfixtures that have continuously adjust-able spans,measure the span accurately to the nearest0.1mm [0.004in.]for spans less than63mm[2.5in.]and to the nearest 0.3mm[0.012in.]for spans greater than or equal to63mm [2.5in.].Use the actual measured span for all calculations.For flexuralfixtures that havefixed machined span positions,verify the span distance the same as for adjustable spans at each machined position.This distance becomes the span for that position and is used for calculations applicable to all subse-quent tests conducted at that position.See Annex A2for information on the determination of and setting of the span.10.1.4Calculate the rate of crosshead motion as follows and set the machine for the rate of crosshead motion as calculated by Eq1:R5ZL2/6d(1) where:R=rate of crosshead motion,mm[in.]/min,L=support span,mm[in.],d=depth of beam,mm[in.],andZ=rate of straining of the outerfiber,mm/mm/min[in./ in./min].Z shall be equal to0.01.In no case shall the actual crosshead rate differ from that calculated using Eq1,by more than610%.10.1.5Align the loading nose and supports so that the axes of the cylindrical surfaces are parallel and the loading nose is midway between the supports.The parallelism of the apparatus may be checked by means of a plate with parallel grooves into which the loading nose and supports willfit when properly aligned(see A2.3).Center the specimen on the supports,with the long axis of the specimen perpendicular to the loading nose and supports.10.1.6Apply the load to the specimen at the specified crosshead rate,and take simultaneous load-deflection data. Measure deflection either by a gage under the specimen in contact with it at the center of the support span,the gage being mounted stationary relative to the specimen supports,or by measurement of the motion of the loading nose relative to the supports.Load-deflection curves may be plotted to determine theflexural strength,chord or secant modulus or the tangent modulus of elasticity,and the total work as measured by the area under the load-deflection curve.Perform the necessary toe compensation(see Annex A1)to correct for seating and indentation of the specimen and deflections in the machine.10.1.7Terminate the test when the maximum strain in the outer surface of the test specimen has reached0.05mm/mm [in./in.]or at break if break occurs prior to reaching the maximum strain(Notes8and9).The deflection at which this strain will occur may be calculated by letting r equal0.05 mm/mm[in./in.]in Eq2:D5rL2/6d(2) where:D=midspan deflection,mm[in.],r=strain,mm/mm[in./in.],L=support span,mm[in.],andd=depth of beam,mm[in.].N OTE8—For some materials that do not yield or break within the5% strain limit when tested by Procedure A,the increased strain rate allowed by Procedure B(see10.2)may induce the specimen to yield or break,or both,within the required5%strain limit.N OTE9—Beyond5%strain,this test method is not applicable.Some other mechanical property might be more relevant to characterize mate-rials that neither yield nor break by either Procedure A or Procedure B within the5%strain limit(for example,Test Method D638may be considered).10.2Procedure B:10.2.1Use an untested specimen for each measurement.10.2.2Test conditions shall be identical to those described in10.1,except that the rate of straining of the outer surface of the test specimen shall be0.10mm/mm[in./in.]/min.10.2.3If no break has occurred in the specimen by the time the maximum strain in the outer surface of the test specimen has reached0.05mm/mm[in./in.],discontinue the test(see Note9).11.Retests11.1Values for properties at rupture shall not be calculated for any specimen that breaks at some obvious,fortuitousflaw, unless suchflaws constitute a variable being studied.Retests shall be made for any specimen on which values are not calculated.12.Calculation12.1Toe compensation shall be made in accordance with Annex A1unless it can be shown that the toe region of the curve is not due to the take-up of slack,seating of the specimen,or other artifact,but rather is an authentic material response.12.2Flexural Stress(s f)—When a homogeneous elastic material is tested inflexure as a simple beam supported at two points and loaded at the midpoint,the maximum stress in the outer surface of the test specimen occurs at the midpoint.This stress may be calculated for any point on the load-deflection curve by means of the following equation(see Notes10-12):s f53PL/2bd2(3) where:s=stress in the outerfibers at midpoint,MPa[psi],P=load at a given point on the load-deflection curve,N [lbf],L=support span,mm[in.],b=width of beam tested,mm[in.],andd=depth of beam tested,mm[in.].N OTE10—Eq3applies strictly to materials for which stress is linearly proportional to strain up to the point of rupture and for which the strains are small.Since this is not always the case,a slight error will be introduced if Eq3is used to calculate stress for materials that are not true Hookean materials.The equation is valid for obtaining comparison data and for specification purposes,but only up to a maximumfiber strainof5%in the outer surface of the test specimen for specimens tested by the procedures described herein.N OTE11—When testing highly orthotropic laminates,the maximum stress may not always occur in the outer surface of the test specimen.4 Laminated beam theory must be applied to determine the maximum tensile stress at failure.If Eq3is used to calculate stress,it will yield an apparent strength based on homogeneous beam theory.This apparent strength is highly dependent on the ply-stacking sequence of highly orthotropic laminates.N OTE12—The preceding calculation is not valid if the specimen slips excessively between the supports.12.3Flexural Stress for Beams Tested at Large Support Spans(s f)—If support span-to-depth ratios greater than16to 1are used such that deflections in excess of10%of the support span occur,the stress in the outer surface of the specimen for a simple beam can be reasonably approximated with the following equation(see Note13):s f5~3PL/2bd2!@116~D/L!224~d/L!~D/L!#(4) where:s f,P,L,b,and d are the same as for Eq3,andD=deflection of the centerline of the specimen at the middle of the support span,mm[in.].N OTE13—When large support span-to-depth ratios are used,significant end forces are developed at the support noses which will affect the moment in a simple supported beam.Eq4includes additional terms that are an approximate correction factor for the influence of these end forces in large support span-to-depth ratio beams where relatively large deflec-tions exist.12.4Flexural Strength(s fM)—Maximumflexural stress sustained by the test specimen(see Note11)during a bendingtest.It is calculated according to Eq3or Eq4.Some materials that do not break at strains of up to5%may give a load deflection curve that shows a point at which the load does not increase with an increase in strain,that is,a yield point(Fig.1, Curve B),Y.Theflexural strength may be calculated for these materials by letting P(in Eq3or Eq4)equal this point,Y.12.5Flexural Offset Yield Strength—Offset yield strength is the stress at which the stress-strain curve deviates by a given strain(offset)from the tangent to the initial straight line portion of the stress-strain curve.The value of the offset must be given whenever this property is calculated.N OTE14—This value may differ fromflexural strength defined in12.4. Both methods of calculation are described in the annex to Test Method D638.12.6Flexural Stress at Break(s fB)—Flexural stress at break of the test specimen during a bending test.It is calculated according to Eq3or Eq4.Some materials may give a load deflection curve that shows a break point,B,without a yield point(Fig.1,Curve a)in which case s fB=s fM.Other materials may give a yield deflection curve with both a yield and a break point,B(Fig.1,Curve b).Theflexural stress at break may be calculated for these materials by letting P(in Eq 3or Eq4)equal this point,B.12.7Stress at a Given Strain—The stress in the outer surface of a test specimen at a given strain may be calculated in accordance with Eq3or Eq4by letting P equal the load read from the load-deflection curve at the deflection corresponding to the desired strain(for highly orthotropic laminates,see Note11).12.8Flexural Strain,e f—Nominal fractional change in the length of an element of the outer surface of the test specimen at midspan,where the maximum strain occurs.It may be calculated for any deflection using Eq5:e f56Dd/L2(5) where:e f=strain in the outer surface,mm/mm[in./in.],D=maximum deflection of the center of the beam,mm [in.],L=support span,mm[in.],andd=depth,mm[in.].12.9Modulus of Elasticity:12.9.1Tangent Modulus of Elasticity—The tangent modu-lus of elasticity,often called the“modulus of elasticity,”is the ratio,within the elastic limit,of stress to corresponding strain. It is calculated by drawing a tangent to the steepest initial straight-line portion of the load-deflection curve and using Eq 6(for highly anisotropic composites,see Note15).E B5L3m/4bd3(6)4For a discussion of these effects,see Zweben,C.,Smith,W.S.,and Wardle,M. W.,“Test Methods for Fiber Tensile Strength,Composite Flexural Modulus and Properties of Fabric-Reinforced Laminates,“Composite Materials:Testing and Design(Fifth Conference),ASTM STP674,1979,pp.228–262.N OTE—Curve a:Specimen that breaks before yielding.Curve b:Specimen that yields and then breaks before the5%strain limit.Curve c:Specimen that neither yields nor breaks before the5%strain limit.FIG.1Typical Curves of Flexural Stress(ßf)Versus FlexuralStrain(ef)where:E B =modulus of elasticity in bending,MPa [psi],L =support span,mm [in.],b =width of beam tested,mm [in.],d =depth of beam tested,mm [in.],andm =slope of the tangent to the initial straight-line portion of the load-deflection curve,N/mm [lbf/in.]of deflec-tion.N OTE 15—Shear deflections can seriously reduce the apparent modulusof highly anisotropic composites when they are tested at low span-to-depth ratios.4For this reason,a span-to-depth ratio of 60to 1is recommended for flexural modulus determinations on these composites.Flexural strength should be determined on a separate set of replicate specimens at a lower span-to-depth ratio that induces tensile failure in the outer fibers of the beam along its lower face.Since the flexural modulus of highly anisotropic laminates is a critical function of ply-stacking sequence,it will not necessarily correlate with tensile modulus,which is not stacking-sequence dependent.12.9.2Secant Modulus —The secant modulus is the ratio of stress to corresponding strain at any selected point on the stress-strain curve,that is,the slope of the straight line that joins the origin and a selected point on the actual stress-strain curve.It shall be expressed in megapascals [pounds per square inch].The selected point is chosen at a prespecified stress or strain in accordance with the appropriate material specification or by customer contract.It is calculated in accordance with Eq 6by letting m equal the slope of the secant to the load-deflection curve.The chosen stress or strain point used for the determination of the secant shall be reported.12.9.3Chord Modulus (E f )—The chord modulus may be calculated from two discrete points on the load deflection curve.The selected points are to be chosen at two prespecified stress or strain points in accordance with the appropriate material specification or by customer contract.The chosen stress or strain points used for the determination of the chord modulus shall be reported.Calculate the chord modulus,E f using the following equation:E f 5~s f 22s f 1!/~e f 22e f 1!(7)where:s f 2and s f 1are the flexural stresses,calculated from Eq 3or Eq 4and measured at the predefined points on the loaddeflection curve,and e f 2ande f 1are the flexural strain values,calculated from Eq 5and measured at the predetermined points on the load deflection curve.12.10Arithmetic Mean —For each series of tests,the arithmetic mean of all values obtained shall be calculated to three significant figures and reported as the “average value”for the particular property in question.12.11Standard Deviation —The standard deviation (esti-mated)shall be calculated as follows and be reported to two significant figures:s 5=~(X 22nX¯2!/~n 21!(8)where:s =estimated standard deviation,X =value of single observation,n =number of observations,andX ¯=arithmetic mean of the set of observations.13.Report13.1Report the following information:13.1.1Complete identification of the material tested,includ-ing type,source,manufacturer’s code number,form,principal dimensions,and previous history (for laminated materials,ply-stacking sequence shall be reported),13.1.2Direction of cutting and loading specimens,when appropriate,13.1.3Conditioning procedure,13.1.4Depth and width of specimen,13.1.5Procedure used (A or B),13.1.6Support span length,13.1.7Support span-to-depth ratio if different than 16:1,13.1.8Radius of supports and loading noses,if different than 5mm.When support and/or loading nose radii other than 5mm are used,the results shall be identified as being generated by a modified version of this test method and the referring specification referenced as to the geometry used.13.1.9Rate of crosshead motion,13.1.10Flexural strain at any given stress,average value and standard deviation,13.1.11If a specimen is rejected,reason(s)for rejection,13.1.12Tangent,secant,or chord modulus in bending,average value,standard deviation,and the strain level(s)used if secant or chord modulus,13.1.13Flexural strength (if desired),average value,and standard deviation,13.1.14Stress at any given strain up to and including 5%(if desired),with strain used,average value,and standard devia-tion,13.1.15Flexural stress at break (if desired),average value,and standard deviation,13.1.16Type of behavior,whether yielding or rupture,or both,or other observations,occurring within the 5%strain limit,and13.1.17Date of specific version of test used.TABLE 2Flexural ModulusMaterial Mean,103psiValues Expressed in units of %of 103psi V r A V R B r C R D ABS338 4.797.6913.621.8DAP thermoset 485 2.897.188.1520.4Cast acrylic 81013.716.138.845.4GR polyester816 3.49 4.209.9111.9GR polycarbonate 1790 5.52 5.5215.615.6SMC195010.913.830.839.1AV r =within-laboratory coefficient of variation for the indicated material.It is obtained by first pooling the within-laboratory standard deviations of the test results from all of the participating laboratories:Sr =[[(s 1)2+(s 2)2...+(s n )2]/n ]1/2then V r =(S r divided by the overall average for the material)3100.BV r =between-laboratory reproducibility,expressed as the coefficient of varia-tion:S R ={S r 2+S L 2}1/2where S L is the standard deviation of laboratory means.Then:V R =(S R divided by the overall average for the material)3100.Cr =within-laboratory critical interval between two test results =2.83V r .DR =between-laboratory critical interval between two test results =2.83V R.。

甲醇水溶液模拟

甲醇水溶液模拟

请帮我做一下aspen的混合物的凝固点的模拟。

谢谢了!1、目的甲醇水溶液的凝固点比水低。

因此。

一定比率的甲醇水溶液可以防冻。

甲醇质量分数越大,凝固点越低。

但是加过多甲醇有时候会造成污染或浪费。

我们生产主任是通过把不同比率的溶液放入冰箱中实验。

其实网上也能查出结果来。

但我想学会用aspen软件算出不同浓度的甲醇水溶液的凝固点。

2、参考我从网上找了一篇甲醇水溶液的模拟说明。

全英文的。

介绍整个模拟过程。

没有图。

全文如下: TFREEZE1.INP Example of using TFREEZ to estimate freeze points The ASPEN PLUS TFREEZ property can be used as an estimate of the freeze-out temperature for a component in either a liquid or vapor mixture. The value of TFREEZ is the temperature where a component just begins to freeze-out at a given concentration and pressure. Freeze-out temperatures can be determined for vapors such as CO2, or for liquids such as water. In this example, the water freeze out temperature for water and methanol solutions will be calculated. See the TFREEZE2 example for an illustration on predicting gas-solid freeze out temperatures. The freeze-out temperature is determined from fugacity. To accurately estimate liquid freezing point depressions, a liquid fugacity model such as NRTL or ELECNRTL must be used to estimate the decrease in chemical potential due to the presence of other components. These components can be molecular or ionic. Methanol for example in water solutions or the Na+ and Cl- ions when sodium chloride is dissolved in water. The precipitated solid is assumed to be a single pure component making the chemical potential of the solid constant with respect to the concentration of other components. It is also important that the parameters for these models be accurate over the temperature range of interest. The recommended physical property route for solid fugacity (PHIS) is PHIS06 which uses the PHS0LIQ model by default. This model calculates the solid fugacity from the liquid fugacity and the solid heat of fusion. The solid heat of fusion is calculated at a reference temperature that is specified in the Prop-Set used to declare the TFREEZ property. For liquid systems, the use of the same liquid fugacity model as used in the main physical property option set is required. If the NRTL physical property option set is used with the default route for PHIL, thisroute (PHIL00) should be specified for PHIL within the PHIS06 route. In this example, the freeze-out temperatures of water are calculated for methanol and water solutions using a TGS Prop-Table. The results calculated by ASPEN PLUS based on the NRTL physical property option set are compared with valued reported in the literature: ---------------------------------------- ! MASSFRAC ! TFREEZ ! FREEZING ! ! ! LIQUID ! POINT ! ! METHANOL ! WATER ! (LIT.*) ! ! ! (ASPEN) ! ! ! ! C ! C ! ! ! ! ! !============!============!============! ! 0.0 ! 1.0000-02 ! 0.0 ! ! 5.0000-03 ! -0.2794 ! -0.278 ! ! 1.0000-02 ! -0.5701 ! -0.560 ! ! 2.0000-02 ! -1.1557 ! -1.140 ! ! 3.0000-02 ! -1.7468 ! -1.750 ! !------------+------------!------------! ! 4.0000-02 ! -2.3439 ! -2.370 ! ! 5.0000-02 ! -2.9470 ! -3.020 ! ! 6.0000-02 ! -3.5566 ! -3.710 ! ! 7.0000-02 ! -4.1728 ! -4.410 ! ! 8.0000-02 ! -4.7959 ! -5.13 ! !------------+------------!------------! ! 9.0000-02 ! -5.4263 ! -5.85 ! ! 0.1000 ! -6.0642 ! -6.60 ! ! 0.1200 ! -7.3639 ! -8.14 ! ! 0.1400 ! -8.6978 ! -9.72 ! ! 0.1600 ! -10.0689 ! -11.36 ! !------------+------------!------------! ! 0.1800 ! -11.4804 ! -11.13 ! ! 0.2000 ! -12.9359 ! -15.02 ! ! 0.2400 ! -15.9949 ! -19.04 ! ! 0.2800 ! -19.2821 ! -23.59 ! ! 0.3200 ! -22.8417 ! -28.15 ! !------------+------------!------------! ! 0.3600 ! -26.7280 ! -32.97 ! ! 0.4000 ! -30.8892 ! -38.6 ! ! 0.4400 ! -35.6535 ! -44.5 ! ! 0.4800 ! -41.1148 ! -51.2 ! ! 0.5200 ! -47.3315 ! -58.1 ! !------------+------------!------------! 0.5600 ! -54.7711 ! -66.0 ! ! 0.6000 ! -63.9138 ! -74.5 ! ! 0.6400 ! -76.2465 ! -84.4 ! !0.6800 ! -95.7561 ! -96.3 ! ---------------------------------------- * Data from Handbook of Chemistry and Physics, 52nd ed., p. D-198. See TFREEZE2 for an example of using TFREEZ with electrolytes. FUNCTIONING OF THE TFREEZE PROP-SET ------------------------------------ 1. A modified PHIS06 route should be used for solid fugacity (PHIS). The PHIS06 route is modified in the ModelManager Properties.Advanced.Route formso that the liquid fugacity route (PHIL) in PHIS06 matches the PHIL route used for themain option set. This information is found on the Properties.Option-Sets.Routes ModelManager form. The default routes for PHIL are PHIL04 for ELECNRTL, PHIL45 for PSRK,and PHIL00 for NRTL. This is done by 1. Selecting the option set to be modified from the object manager on the Properties.Option-Sets ModelManager form. In this example,the NRTL physical property option set is modified. 2. On the Properties.Option-Sets.Routes form, assign a new name (PHIS06n) to the major property PHIS route. 3. Goto the Properties.Advanced.Route form and specify the following information for thenewly created route. a. Copy from route PHIS06 b. Change the PHIL property route id to match the PHIL NRTL property route by specifying PHIL00 for PHIL. 2. The TFREEZE PROP-SET based on the PHS0LIQ model uses a reference temperature. The reference temperatureis the value of the TEMP qualifier for the PROP-SET TFREEZE if one has been entered, or the stream temperature if a TEMP qualifier is not specified. If the freeze-outtemperature is below the reference temperature, the temperature at which that component solidifies is reported for TFREEZ. If the freeze-out temperature is above the reference temperature, no value is reported for the TFREEZ property. Product Release: 9.2 and9.3 ASPEN PLUS Revision: 12/96, developed by L. Roth 12/96, reviewed by M. Jarvis =============================================================================== TGSTITLE 'TFREEZ Example to calculate freeze-out: See Comments on Setup.Main'IN-UNITS MET PRESSURE=ATM TEMPERATURE=C DELTA-T=C PDROP=ATMDATABANKS PURECOMP / SOLIDS / NOASPENPCD PROP-SOURCES PURECOMP / SOLIDSCOMPONENTS WATER H2O WATER / METHANOL CH4O METHANOL The NRTL physical property option set will be used. PROPERTIES NRTL Create a new property route for PHIS The new route is copied from PHIS06 but uses PHIL00 for PHIL. PHIL00 is the default PHIL route for NRTL. MP-ROUTE PHIS06N PHIS 3 PHIS06 MPROP PHIL PHIL00 NRTL Option-Set with a new property route for PHIS called PHIS06N PROP-REPLACE NRTL NRTL PROP PHIS PHIS06NPROP-DATA NRTL-1 IN-UNITS MET PRESSURE='KG/SQCM' TEMPERATURE=C DELTA-T=C & PDROP=ATM PROP-LIST NRTL BPVAL WATER METHANOL 2.732200000 -617.2687000 .3000000000 & 0.0 0.0 0.0 24.99000610 100.0000061 BPVAL METHANOL WATER -.6930000000 172.9871000 .3000000000 & 0.0 0.0 0.0 24.99000610 100.0000061 TFREEZ Property-Set. A reference temperature, TEMP, that is below the freezing point should be specified. PROP-SET TFREEZ TFREEZ UNITS='C' SUBSTREAM=MIXED COMPS=WATER & PHASE=L TEMP=-250 Tabulate the freeze-out temperature for water for various methanol concentrations. PROP-TABLE PT-MEOH PROPS MASS-FLOW WATER 1 STATE TEMP=25 PRES=1 <ATM> VARY MASS-FRAC COMP=METHANOL RANGE LIST=0 .005 .01 .02 .03 .04 .05 .06 .07 .08 .09 & .1 .12 .14 .16 .18 .20 .24 .28 .32 .36 .40 .44 & .48 .52 .56 .60 .64 .68 TABULATE PROPERTIES=TFREEZ3、我的操作步骤:3.1 定义了全局和组分3.2 做ROUTES3.3 然后给NRTL-1消红:3.4 接下来做凝固点的物性集:3.5 做analysis:3.6 可是运行后没有结果!不知道是我哪出错了。

专业英语Propertiesofmaterials

专业英语Propertiesofmaterials

Unit 7 Properties of materialsThe final strength of any material used in an engineering component depends on its mechanical and physical properties after it has been subjected to one or more different manufacturing processes. Also, there are several properties that determine the suitability of the material in its initial state for any particular manufacturing process. The initial strength of the virgin material is important, because that strength will affect the ease with which it can be deformed into its required shape and finally, its ability to resist loads during service. Factors which increase or decrease the strength of the starting material may be equally important. It may be desirable either to reduce its strength sufficiently to allow it to be formed into shape easily with the available machines, or alternatively to increase the final strength of the manufactured component and render it more serviceable . Strength is an imprecise term that may here be understood to indicate the ability of a material either to accept or to resist deformation.A similar argument applies to a rather more elusive property of any material, namely, its ductility, which is understood to mean the ability of a material to accept large amount of deformation (mainly tensile) without fracture. Again considering manufacturing processes, a large value of this parameter will obviously be beneficial. Many mental-working process are limited only by the available ductility of the material being working, so that the amount of deformation which can be imposed on the material has to be restricted to avoid fracture. There are, however, some manufacturing processes for which the opposite of ductility is beneficial. A suitable generic term for this property might be brittleness; for example, it is well-known that certain brittle materials are much easier to machine or shear than are ductile materials.It is mainly the interplay of the properties such as strength and ductility during fabrication that has influenced the technology of production. For example, it is common knowledge that most metals when heated will become softer and easier to deform. If thespeed of deformation is too great, however, this benefit will be lost and the material may become either too hard or so brittle that fast deformation will lead to fracture. The occurrence and magnitude of such effects as these depend in some way on the microstructure of the material, so a knowledge of the metallurgy of metals or the corresponding microscope structure of non-metal is necessary for any understanding of the broad subject of this book, namely the strength of materials. The aim of the initial discussion in this chapter is , in fact, to indicate those properties of materials which are important both during and after manufacture, to see why they are important and how they influence the manufacturing process. It is clearly necessary to have more precise terms than strength and ductility, and in this chapter some of the standard mechanical tests will be considered to see whether it is possible to define such concepts with more precision. Of course, to do this it is necessary also to have some knowledge of the mathematical theory of the plasticity or rheology of ideal substances.Once the various properties of importance in manufacture have been defined and understood, it is then possible to consider how this knowledge may be used to control the process and the product, and how these properties are affected by different production process. In this way it should be easier to decide the method of manufacture most able to suit a given component and material so as to give it the final shape, strength and properties required. Thus it can be understood why the subject traditionally entitled strength of material is so important, not only as it related to the final condition of the materials found in any engineering artifact, but also as it relates to the materials before they are formed into the final shapes.For example, it might be relevant to consider changing the shape or material of a manufactured component to suit the available production technique. Such questions are outside the scope of this book, and properly belong to the more specialized realms of design for manufacture or manufacturing engineering. In the final analysis any successful manufacturing process must be economically sound and high priorityshould always be given to economic factors. The costs of manufacture are important from the outset i.e. from the time a component is specified to fulfil a certain lifetime until its final inspection, testing, and guarantee. The whole manufacturing process entails both design and production of the component , particularly in the manner in which they affect the final strength of the material.There are several physical and chemical properties that influence the choice and treatment of materials in manufacture. An example of physical property is thermal conductivity which will affect the flow of heat with the body of the material whilst it is being deformed and therefore its rate of cooling and hardening. Similarly, a well-known example of an important chemical property is that of corrosion resistance. Its importance in the final product is obvious, and it may well be important during the manufacturing process too, because it can sometimes influence the formation of surface films which affect lubrication, or thermal and electrical conduction.。

Harman Kardon Soundsticks III 产品说明书

Harman Kardon Soundsticks III 产品说明书

XP-400Owner’sGuideA Harman International Company V i s i t D i g i t e c h o n t h e W o r l d W i d e W e b a t h t t p ://w w w .d i g i t e c h .c o mSAFETY HINTS:WATER AND MOISTURE : Appliance should not be used near water (e.g. near a bathtub, washbowl, kitchen sink, laundry tub, in a wet basement, or near a swimming pool, etc). Care should be taken so that objects do not fall and liquids are not spilled into the enclosure through openings.POWER SOURCES : The appliance should be connected to a power supply only of the type described in the operating instructions or as marked on the appliance.GROUNDING OR POLARIZATION:Precautions should be taken so that the grounding or polarization means of an appliance is not defeated.POWER CORD PROTECTION:Power supply cords should be routed so that they are not likely to be walked on or pinched by items placed upon or against them, paying particular attention to cords at plugs, convenience receptacles, and the point where they exit from the appliance.SERVICING: The user should not attempt to service the appliance beyond that described in the operating instructions. All other servicing should be referred to qualified service personnel.FUSING:If your unit is equipped with a fuse receptacle, replace with only same type fuse. Refer to replacement text on the unit for correct fuse type.WARRANTY:1. The warranty card must be mailed within ten days after purchase date to validate this warranty.2. DigiTech warrants this product, when used solely within the U.S., to be free from defects in materials and workmanship under normal use and service.3. DigiTech liability under this warranty is limited to repairing or replacing defective materials that show evidence of defect, pro-vided the product is returned to DigiTech WITH RETURN AUTHORIZATION, where all parts and labor will be covered up to a period of one year. A Return Authorization number may be obtained from DigiTech by telephone. The company shall not be liable for any consequential damage as a result of the product’s use in any circuit or assembly.4. Proof-of-purchase is considered to be the burden of the consumer.5. DigiTech reserves the right to make changes in design or make additions to or improvements upon this product without incur-ring any obligation to install the same on products previously manufactured.6. The foregoing is in lieu of all other warranties, expressed or implied, and DigiTech neither assumes nor authorizes any person to assume any obligation or liability in connection with the sale of this product. In no event shall DigiTech or its dealers be liable for special or consequential damages or from any delay in the performance of this warranty due to causes beyond their control.C ongratulations, and thank you for your purchase of the Digitech XP-400 Reverberator. The XP-400 offers a unique opportunity to add several different reverb types including Spring tank, Plates, Reverse and many others to a great sounding amplifier that may not have an existing reverb unit. In addition to these reverb types, the XP-400 also has a chromatic tuner for quick tunings on stage or in the studio and can act as a volume controller.This owner’s guide is provided to get you up and going with the XP-400 and use it to its full potential. Front and Rear Panel Controls and Functions1. Signal LED - Indicates that signal is entering the XP-400.2. Clip LED - Indicates that signal is clipping in the XP-400.3. Status Display - The Status Display window shows the current information including: bypass, currenteffect program number, and Chromatic Tuner information. When the XP-400 is in Program mode (Factory or User), the display will either read: 1-50(Factory) or U1-U6(User).*Note-A complete listing of all Factory programs is located on the bottom panel of the XP-400.4. Program UP/(Hold)DOWN Switch - Lets you select programs. Pressing once will move up through theprogram menu. Press and hold and the XP-400 will move down through the program menu.5. BYPASS/(Hold)TUNER Switch - Puts the unit into Bypass by pressing the footswitch once. To select theTuner, press and hold the footswitch until the display reads: t u, indicating that you are in Tuner mode.6. Expression Pedal - Controls the selected effect or volume.7. Input Level Control - Sets the amount of signal being sent into the unit. The ideal setting for the inputcontrol of the XP-400 is to set the input level at a point where the Clip LED indicator occasionally lights.8. Input Jack - Connect instrument here using 1/4” guitar cord.9. Left/Mono Output- This is the this is the Left/Mono output of the the XP-400.10. Right Output- This is the Right output of the XP-400.11. MODE/(Hold)PROGRAM - This button is used to put the XP-400 in and out of User mode. The beauty ofthe the User mode is, that the XP-400 will give you the opportunity to store up to 6 of your favorite fac-tory programs in the same area. This will save you the toe-tap dancing ritual of accessing programs.This button is also used to calibrate the noise gate threshold of the XP-400. To put the XP-400 in User mode, simply press the <MODE/(Hold) PROGRAM>button.To store a Factory program as a User program, the procedure is as follows:First, select the Program to be stored. Press and hold the <MODE/(Hold)PROGRAM>button. Thedisplay will flash: U1. From here, use the <UP/(Hold)DOWN>footswitch to select which userlocation. Now just press the <MODE/(Hold)PROGRAM>button to save. The display will read:S A to confirm, then return to Program mode.12. AC Line Input- Connect the power adapter here. Use only the enclosed PS 750 power supply.Tuner ModeTo access the Tuner mode, press and hold the <BYPASS/(Hold)TUNER>footswitch until t u appears in the display. T he currently played note is displayed in the left character of the status display window, while the intonation is displayed in the RIGHT character of the window.When the input note is in tune, the display will read:When the note is flat, the intonation character will rotate counter clockwise as shown:The faster the character spins (either clockwise or counter clockwise), the more out of tune the note is. Bypass ModeTo place the XP-400 in bypass mode, press the <BYPASS/(Hold)TUNER>footswitch once.When the XP is in Bypass mode, the Expression pedal is inactive, but programs can still be selected using the <UP/(Hold)DOWN>footswitch while the unit is in bypass. The new program is loaded once Bypass mode is exited. When the XP is in bypass mode, the display will read:Factory Reset/Pedal CalibrateTo reset the User programs to their factory settings and calibrate the expression pedal, press and hold the <BYPASS/(Hold)TUNER> foot switch and apply power to the unit. Wait until the letters r S appear in the display and release the foot switch. The display will now read: P d and C A, indicating that you are in Pedal calibrate mode. Once P b appears, rock the pedal back and press the <BYPASS> foot switch. When P F appears, rock the pedal forward and press the <BYPASS> foot switch. S A will next appear in the dis-play to confirm the pedal is now calibrated.SpecsA/D Convert - 18bit 128x oversampledD/A Convert - 18bit 128x oversampledSample Rate - 46.8 kHzFrequency Response - 20Hz ~ 20 kHzS/N - Greater than 90dB1/4" Input Jack (1), Output Jacks (2)Externally powered (PS750)DECLARATION OF CONFORMITYManufacturer’s Name:DigitechManufacturer’s Address:8760 S. Sandy ParkwaySandy, Utah 84070, USAdeclares that the productProduct Name:XP-400Product Options:All ( with a Class II power adapter that conforms to the requirements ofEN60065, EN60742, or equivalent).conforms to the following product specifications:Safety:EN 60065 (1993)IEC63 (1985) with Amendments 1,2,3EMC:EN 55013: (1990)EN 55020: (1991)Supplementary Information:The product herewith complies with the requirements of the Low Voltage Directive 73/23/EEC and the EMC Directive 89/336/EEC as amended by directive 93/68/EEC.DigitechPresident of Digitech8760 S. Sandy ParkwaySandy, Utah 84070, USAEffective: 8/1/97European Contact: Your Local Digitech Sales and Service Office orInternational Sales Office3 Overlook Drive #4Amherst, New Hampshire 03031, USATel (603) 672-4244Fax (603) 672-42468760 South Sandy ParkwaySandy, Utah, 84070Telephone (801) 566-8800FAX (801) 566-7005International Distribution: 3 Overlook Dr Unit 4Amherst, New Hampshire 03031 U.S.A.FAX (603) 672-4246DigiTech™, XP-400™ are registered trademarks of HARMAN INTERNATIONALCopyright © 1997HARMAN MUSIC GROUPPrinted In USA 8/97Manufactured in the U.S.A.XP-400 18-2185-AOS v1.00。

Episode 1-1 The Queen v. Dudley and Stephens (1884) (The lifeboat case)

Episode 1-1 The Queen v. Dudley and Stephens (1884) (The lifeboat case)

A brief overview of the reading: One familiar way to think about the right thing to do is to ask what will produce the greatest amount of happiness for the greatest number of people. This way of thinking about morality finds its clearest expression in the philosophy of Jeremy Bentham (1748-1832). In his Introduction to the Principles of Morals and Legislation (1780), Bentham argues that the principle of utility should be the basis of morality and law, and by utility he understands whatever promotes pleasure and prevents pain. Is the principle of utility the right guide to all questions of right and wrong?Chapter I. Of the Principle of Utility.I. Nature has placed mankind under the governance of two sovereign masters, pain and pleasure. It is for them alone to point out what we ought to do, as well as to determine what we shall do. On the one hand the standard of right and wrong, on the other the chain of causes and effects, are fastened to their throne. They govern us in all we do, in all we say, in all we think: every effort we can make to throw off our subjection, will serve but to demonstrate and confirm it. In words a man may pretend to abjure their empire: but in reality he will remain subject to it all the while. The principle of utility recognizes this subjection, and assumes it for the foundation of that system, the object of which is to rear the fabric of felicity by the hands of reason and of law. Systems which attempt to question it, deal in sounds instead of sense, in caprice instead of reason, in darkness instead of light.But enough of metaphor and declamation: it is not by such means that moral science is to be improved.II. The principle of utility is the foundation of the present work: it will be proper therefore at the outset to give an explicit and determinate account of what is meant by it. By the principle of utility is meant that principle which approves or disapproves of every action whatsoever. according to the tendency it appears to have to augment or diminish the happiness of the party whose interest is in question: or, what is the same thing in other words to promote or to oppose that happiness. I say of every action whatsoever, and therefore not only of every action of a private individual, but of every measure of government.III. By utility is meant that property in any object, whereby it tends to produce benefit, advantage, pleasure, good, or happiness, (all this in the present case comes to the same thing) or (what comes again to the same thing) to prevent the happening of mischief, pain, evil, or unhappiness to the party whose interest is considered: if that party be the community in general, then the happiness of the community: if a particular individual, then the happiness of that individual.IV. The interest of the community is one of the most general expressions that can occur in the phraseology of morals: no wonder that the meaning of it is often lost. When it has a meaning, it is this. The community is a fictitious body, composed of the individual persons who are considered as constituting as it were its members. The interest of the community then is, what is it?— the sum of the interests of the several members who compose it.V. It is in vain to talk of the interest of the community, without understanding what is the interest of the individual. A thing is said to promote the interest, or to be for the interest, of an individual, when it tends to add to the sum total of his pleasures: or, what comes to the same thing, to diminish the sum total of his pains.VI. An action then may be said to be conformable to then principle of utility, or, for shortness sake, to utility, (meaning with respect to the community at large) when the tendency it has to augment the happiness of the community is greater than any it has to diminish it.VII. A measure of government (which is but a particular kind of action, performed by a particular person or persons) may be said to be conformable to or dictated by the principle of utility, when in like manner the tendency which it has to augment the happiness of the community is greater than any which it has to diminish it.VIII. When an action, or in particular a measure of government, is supposed by a man to be conformable to the principle of utility, it may be convenient, for the purposes of discourse, to imagine a kind of law or dictate, called a law or dictate of utility: and to speak of the action in question, as being conformable to such law or dictate.IX. A man may be said to be a partizan of the principle of utility, when the approbation or disapprobation he annexes to any action, or to any measure, is determined by and proportioned to the tendency which he conceives it to have to augment or to diminish the happiness of the community: or in other words, to its conformity or unconformity to the laws or dictates of utility. X. Of an action that is conformable to the principle of utility one may always say either that it is one that ought to be done, or at least that it is not one that ought not to be done. One may say also, that it is right it should be done; at least that it is not wrong it should be done: that it is a right action; at least that it is not a wrong action. When thus interpreted, the words ought, and right and wrong and others of that stamp, have a meaning: when otherwise, they have none. XI. Has the rectitude of this principle been ever formally contested? It should seem that it had, by those who have not known what they have been meaning. Is it susceptible of any direct proof? it should seem not: for that which is used to prove every thing else, cannot itself beproved: a chain of proofs must have their commencement somewhere. To give such proof is as impossible as it is needless.XII. Not that there is or ever has been that human creature at breathing, however stupid or perverse, who has not on many, perhaps on most occasions of his life, deferred to it. By the natural constitution of the human frame, on most occasions of their lives men in general embrace this principle, without thinking of it: if not for the ordering of their own actions, yet for the trying of their own actions, as well as of those of other men. There have been, at the same time, not many perhaps, even of the most intelligent, who have been disposed to embrace it purely and without reserve. There are even few who have not taken some occasion or other to quarrel with it, either on account of their not understanding always how to apply it, or on account of some prejudice or other which they were afraid to examine into, or could not bear to part with. For such is the stuff that man is made of: in principle and in practice, in a right track and in a wrong one, the rarest of all human qualities is consistency.XIII. When a man attempts to combat the principle of utility, it is with reasons drawn, without his being aware of it, from that very principle itself. His arguments, if they prove any thing, prove not that the principle is wrong, but that, according to the applications he supposes to be made of it, it is misapplied. Is it possible for a man to move the earth? Yes; but he must first find out another earth to stand upon.XIV. To disprove the propriety of it by arguments is impossible; but, from the causes that have been mentioned, or from some confused or partial view of it, a man may happen to be disposed not to relish it. Where this is the case, if he thinks the settling of his opinions on such a subject worth the trouble, let him take the following steps, and at length, perhaps, he may come to reconcile himself to it.1. Let him settle with himself, whether he would wish to discard this principle altogether; if so, let him consider what it is that all his reasonings (in matters of politics especially) can amount to?2. If he would, let him settle with himself, whether he would judge and act without any principle, or whether there is any other he would judge an act by?3. If there be, let him examine and satisfy himself whether the principle he thinks he has found is really any separate intelligible principle; or whether it be not a mere principle in words, a kind of phrase, which at bottom expresses neither more nor less than the mere averment of his own unfounded sentiments; that is, what in another person he might be apt to call caprice?4. If he is inclined to think that his own approbation or disapprobation, annexed to the idea of an act, without any regard to its consequences, is a sufficient foundation for him to judge and act upon, let him ask himself whether his sentiment is to be a standard of right and wrong, with respect to every other man, or whether every man's sentiment has the same privilege of being a standard to itself?5. In the first case, let him ask himself whether his principle is not despotical, and hostile to all the rest of human race?6. In the second case, whether it is not anarchial, and whether at this rate there are not as many different standards of right and wrong as there are men? and whether even to the same man, the same thing, which is right today, may not (without the least change in its nature) be wrong tomorrow? and whether the same thing is not right and wrong in the same place at the sametime? and in either case, whether all argument is not at an end? and whether, when two men have said, "I like this," and "I don't like it," they can (upon such a principle) have any thing more to say?7. If he should have said to himself, No: for that the sentiment which he proposes as a standard must be grounded on reflection, let him say on what particulars the reflection is to turn? if on particulars having relation to the utility of the act, then let him say whether this is not deserting his own principle, and borrowing assistance from that very one in opposition to which he sets it up: or if not on those particulars, on what other particulars?8. If he should be for compounding the matter, and adopting his own principle in part, and the principle of utility in part, let him say how far he will adopt it?9. When he has settled with himself where he will stop, then let him ask himself how he justifies to himself the adopting it so far? and why he will not adopt it any farther?10. Admitting any other principle than the principle of utility to be a right principle, a principle that it is right for a man to pursue; admitting (what is not true) that the word right can have a meaning without reference to utility, let him say whether there is any such thing as a motive that a man can have to pursue the dictates of it: if there is, let him say what that motive is, and how it is to be distinguished from those which enforce the dictates of utility: if not, then lastly let him say what it is this other principle can be good for?Chapter IV. Value of a Lot of Pleasure or Pain, How to be Measured.I. Pleasures then, and the avoidance of pains, are the ends that the legislator has in view; it behoves him therefore to understand their value. Pleasures and pains are the instruments he has to work with: it behoves him therefore to understand their force, which is again, in other words, their value.II. To a person considered by himself, the value of a pleasure or pain considered by itself, will be greater or less, according to the four following circumstances:1. Its intensity.2. Its duration.3. Its certainty or uncertainty.4. Its propinquity or remoteness.III. These are the circumstances which are to be considered in estimating a pleasure or a pain considered each of them by itself. But when the value of any pleasure or pain is considered for the purpose of estimating the tendency of any act by which it is produced, there are two other circumstances to be taken into the account;these are,5. Its fecundity, or the chance it has of being followed by sensations of the same kind: that is, pleasures, if it be a pleasure: pains, if it be a pain.6. Its purity, or the chance it has of not being followed by sensations of the opposite kind: that is, pains, if it be a pleasure: pleasures, if it be a pain.These two last, however, are in strictness scarcely to be deemed properties of the pleasure or the pain itself; they are not, therefore, in strictness to be taken into the account of the value of that pleasure or that pain. They are in strictness to be deemed properties only of the act, or other event, by which such pleasure or pain has been produced; and accordingly are only to be taken into the account of the tendency of such act or such event.IV. To a number of persons, with reference to each of whom to the value of a pleasure or a pain is considered, it will be greater or less, according to seven circumstances: to wit, the six preceding ones; viz.,1. Its intensity.2. Its duration.3. Its certainty or uncertainty.4. Its propinquity or remoteness.5. Its fecundity.6. Its purity.And one other; to wit:7. Its extent; that is, the number of persons to whom it extends; or (in other words) who are affected by it.V. To take an exact account then of the general tendency of any act, by which the interests of a community are affected, proceed as follows. Begin with any one person of those whose interests seem most immediately to be affected by it: and take an account,1. Of the value of each distinguishable pleasure which appears to be produced by it in the first instance.2. Of the value of each pain which appears to be produced by it in the first instance.3. Of the value of each pleasure which appears to be produced by it after the first. This constitutes the fecundity of the first pleasure and the impurity of the first pain.4. Of the value of each pain which appears to be produced by it after the first. This constitutes the fecundity of the first pain, and the impurity of the first pleasure.5. Sum up all the values of all the pleasures on the one side, and those of all the pains on the other. The balance, if it be on the side of pleasure, will give the good tendency of the act upon the whole, with respect to the interests of that individual person; if on the side of pain, the bad tendency of it upon the whole.6. Take an account of the number of persons whose interests appear to be concerned; and repeat the above process with respect to each. Sum up the numbers expressive of the degrees of good tendency, which the act has, with respect to each individual, in regard to whom the tendency of it is good upon the whole: do this again with respect to each individual, in regard to whom the tendency of it is good upon the whole: do this again with respect to each individual, inregard to whom the tendency of it is bad upon the whole. Take the balance which if on the side of pleasure, will give the general good tendency of the act, with respect to the total number or community of individuals concerned; if on the side of pain, the general evil tendency, with respect to the same community.VI. It is not to be expected that this process should be strictly pursued previously to every moral judgment, or to every legislative or judicial operation. It may, however, be always kept in view: and as near as the process actually pursued on these occasions approaches to it, so near will such process approach to the character of an exact one.VII. The same process is alike applicable to pleasure and pain, in whatever shape they appear: and by whatever denomination they are distinguished: to pleasure, whether it be called good (which is properly the cause or instrument of pleasure) or profit (which is distant pleasure, or the cause or instrument of, distant pleasure,) or convenience, or advantage, benefit, emolument, happiness, and so forth: to pain, whether it be called evil, (which corresponds to good) or mischief, or inconvenience or disadvantage, or loss, or unhappiness, and so forth.VIII. Nor is this a novel and unwarranted, any more than it is a useless theory. In all this there is nothing but what the practice of mankind, wheresoever they have a clear view of their own interest, is perfectly conformable to. An article of property, an estate in land, for instance, is valuable, on what account? On account of the pleasures of all kinds which it enables a man to produce, and what comes to the same thing the pains of all kinds which it enables him to avert. But the value of such an article of property is universally understood to rise or fall according to the length or shortness of the time which a man has in it: the certainty or uncertainty of its coming into possession: and the nearness or remoteness of the time at which, if at all, it is to come into possession. As to the intensity of the pleasures which a man may derive from it, this is never thought of, because it depends upon the use which each particular person may come to make of it; which cannot be estimated till the particular pleasures he may come to derive from it, or the particular pains he may come to exclude by means of it, are brought to view. For the same reason, neither does he think of the fecundity or purity of those pleasures. Thus much for pleasure and pain, happiness and unhappiness, in general. We come now to consider the several particular kinds of pain and pleasure.。

英文版-材料概论

英文版-材料概论
英文版材料概论 logointroduction materialsschool materialsscience engineeringcompany name materialscience materialscan understoodfrom followingaspects: humancivilization socialdevelopment stronglyintertwined pervasiverole entireeras humancivilization pany name company name 1.1 how materialdefined solidsused produceitems which constitute hisliving environment. properties availabilitycost methods materialsdepends companyname 1.2 materialscompany name 1.3 materials properties properties materialresponds externalforces. mechanical properties physical properties chemical properties company name 1.4 use materialsdepends: properties availabilitycost methods productioncompany name 1.5 materials science material science relationshipamong processing, structure, properties, materials.materials science deals relationshipbetween macroscopicproperties microscopicstructures.

219386997_LI_Aihua,_SUN_Xiaoyan

219386997_LI_Aihua,_SUN_Xiaoyan

International Relations and Diplomacy, Mar.-Apr. 2023, Vol. 11, No. 2, 107-109doi: 10.17265/2328-2134/2023.02.004 Methodology of Marx for Ecological JusticeLI AihuaShanghai University of Engineering Science, Shanghai, ChinaSUN XiaoyanDonghua University, Shanghai, ChinaHistorical materialism provides a methodology for solving the problem of ecological justice, that is, consciouslyconstructing the socialist power system is the prerequisite and foundation for realizing ecological justice. In essence,the fundamental nature of the socialist power system, namely, “affinity to the people ”, determines the realisticpossibility of ecological justice.Keywords: social power system, ecological justice, historical materialism, methodologyInstructionQuestion: How to deal with the fundamental problem of “the conspiracy by political power and vested interests ” in contemporary environmental justice governance? The mainstream environmental theory defines the concept of ecological justice as the distributive balance of environmental benefits and burdens between the rich and the poor, between the developing countries and developed countries, between the modern and future generations, and between human and non-human species (Wenz, 1988). However, the political logic of the distributive balance is realistically challenged in the 21st century under the new historical conditions of the advanced stage of globalization and the ecological imperialism pattern, especially facing the fundamental problem of “the conspiracy by political power and vested interests ”. In the final analysis, the mainstream theory cannot resolve the problem of ecological justice essentially because it is metaphysical methodology.Answer: I argue Marx ’s methodology of historical materialism grasps the nature of social power system so that it can solve contemporary ecological justice problem. In essence, the fundamental nature of the socialist power system, namely, “affinity to the people ”, determines the realistic possibility of ecological justice.Methodology of Marx for Ecological JusticeHistorical materialism provides a methodology for solving the problem of ecological justice, that is, consciously constructing the socialist power system is the prerequisite and foundation for realizing ecological justice. Historical materialism adheres to the principle of dialectical unity of totality and concretization, that is, giving priority to the overall nature and the evolutionary trend of social power system, and pays attention to the effect and influence of the specific factors over the specific stages, structure, form, and degree of development of social power system on realistic problems. Based on the above considerations, Marx must approve of the following ideas: If the overall nature of a social power system is unjust, then its local ecological justice can only LI Aihua, lecturer, Higher Vocational and Technical College, Shanghai University of Engineering Science, Shanghai, China. SUN Xiaoyan, professor, School of Marxism, Donghua University, Shanghai, China. D A VID PUBLISHINGDMETHODOLOGY OF MARX FOR ECOLOGICAL JUSTICE108be formal justice rather than substantive justice. Similarly, if the overall nature of a social power system is just, even though it may have a lot of unfairnesses on the part of it, butthese defects are inevitable in the first phase of communist society as it is when it has just emerged after prolonged birth pangs from capitalist society. Right can never be higher than the economic structure of society and its cultural development conditioned thereby. (Marx & Engels, 1995, p. 305)But the more fundamentally, “these defects” do not affect the justice nature of the primary stage of socialism, but can gradually overcome through the conscious construction of the socialist system of power, so as to provide a fundamental premise and a solid foundation for completely solving the problem of ecological justice. Following the above ideas, we can reasonably deduce the methodology of historical materialism for addressing contemporary ecological justice issues: The conscious construction of the socialist power system is the prerequisite and the contemporary path to achieve ecological justice the ecological justice.The Possibilities of Socialism Ecological JusticeWhen we transcend the narrow vision of distributive justice and examine ecological justice problem from the grand perspective of historical materialism, it is switched to the critique of the modern social power: how to abandon the capitalist power system in order to achieve the “human liberation” of the two levels, i.e., the complete solution of the contradictions between human beings and nature, and human beings among themselves. An in-depth analysis from this perspective can find that the realization of “ecological justice” is neither a change of radical system advocated by many left-wing scholars, nor is a simple problem of ethical construction or distribution design, but subordinate to a wider social history planning, that is, the historical movement of the self-sublation of the modern social power system: The first stage is the political liberation, through the revolution of capitalist political power to provide the system requirements of ecological justice; the second stage is a transitional stage, through the conscious construction of the socialist power system to contain the alliance of capital and political power and shape the justice relations of ecological distribution based on the justice of production; the third stage is the human liberation: When the ex-communist social power system is completely sublated, ecological justice will go beyond its narrow interests and interlink with the liberation of human beings to the extent that liberal communities between man and man, man and society, and man and itself develop together, sustainable and harmoniously. “This communism, as fully developed naturalism, equals humanism, and as fully developed humanism equals naturalism; it is the genuine resolution of the conflict between man and nature and between man and man” (Marx & Engels, 1972, p. 120).In contemporary times, the fundamental nature of the socialist power system, namely, “affinity to the people”, determines the possibility of ecological justice. “Affinity to the people” has a double meaning: both human liberation in the value level, and people interests in the reality level. On one hand, the nature of social power will undergo a gradual qualitative change, and the production of society as a whole is no longer due to the maximization of surplus value, but for the common well-being of all the workers, entering the advanced stage of communism in which “all the springs of co-operative wealth flow more abundantly” (Marx, 1875) and achieving the substantive justice in the value pursuit of free development of human beings; on the other hand, the nature and structure of the political power will also be adapted to the demands of social power. The people’s democratic dictatorship based on public ownership in the primary stage of socialism is “the self-conscious, independent movement of the immense majority, in the interest of the immense majority” (Marx & Engels, 1848).METHODOLOGY OF MARX FOR ECOLOGICAL JUSTICE109In general, within the socialist power system, based on the supremacy of the people’s social power, capital will certainly fall or return from the purpose of production to a means of creating social wealth, as well as political power is truly the realization mechanism of public value and people’s livelihood. That means capital and political power will no longer be major obstacles to ecological justice, but the way to achieve the justice between human beings and nature, and human beings among themselves. In a word, the fundamental nature of the socialist power system determines the real possibility of ecological justice.The Importance of Construction of Socialist Power System However, this does not mean that ecological justice will be achieved spontaneously in the socialist phase. As the capital still has “historical legitimacy” for a certain period of time, the contradiction between capital logic and ecological justice will exist for a long time in the primary stage of socialism. The socialist power system plays a key role in counterbalance of the contradiction. However, history and reality continue to prove that the socialist power system itself is faced with the risk of being alienated or even disintegrated due to the complexity of its actual structure, the diversity of form, and the imperfection of development. Whether the tragic lessons of the disintegration of the Soviet Union and the drastic changes in Eastern Europe, or the monopoly and corruption of political power in contemporary socialist countries, it can be seen that everywhere is in the alienation crisis of socialist power. In this regard, Marx and Engels have warned us in a hundred years ago that socialism must will be a realistic, long-term historical movement:Communism is for us not a state of affairs which is to be established, an ideal to which reality [will] have to adjust itself.We call communism the real movement which abolishes the present state of things. The conditions of this movement result from the premises now in existence. (Marx, 1845)“The so-called ‘socialist society’is not anything immutable. Like all other social formations, it should be conceived in a state of constant flux and change” (Marx & Engels, 1848).ConclusionTo sum up, methodology of Marx for ecological justice enlightens us; the key to the question of contemporary “ecological justice”is transformed to how to ensure its “affinity to the people”through the conscious construction of the socialist power system, so as to make full use of the “civilization” of capital to create the subjective- objective conditions of communist in the context of globalization, in the meantime maximizing to overcome the “alienation” which leads to ecological injustice and other negative effects.ReferencesMarx, K., & Engels, F. (1848). Manifesto of the Communist Party. Retrieved from https:///archive/marx/works/ 1848/communist-manifesto/ch02.htmMarx, K., & Engels, F. (1972). The complete works of Marx and Engels, Vol. 42. Beiji ng: People’s Publishing House.Marx, K., & Engels, F. (1995). Selected works of Marx and Engels, Vol. 3. Beijing: People’s Publishing House.Marx, K. (1845). The German ideology. Retrieved from https:///archive/marx/works/1845/german-ideology/ch01b.htmMarx, K. (1875). Critique of the Gotha programme. Retrieved from https:///archive/marx/works/1875/gotha /ch03.htm. (2000). Marx-Engels correspondence 1890. Retrieved from https:///archive/marx/works/1890/ letters/90_08_21.htmWenz, P. S. (1988). Environmental justice. Albany: State University of New York Press.。

Geng L. A Unified framework for Utility based Measures for Mining Itemsets

Geng L. A Unified framework for Utility based Measures for Mining Itemsets

A Unified Framework for Utility Based Measures for MiningItemsets∗Hong Y aoDepartment of Computer Science,University of Regina Regina,SK,Canada S4S0A2 yao2hong@cs.uregina.caHoward J.HamiltonDepartment of ComputerScience,University of ReginaRegina,SK,Canada S4S0A2hamilton@cs.uregina.caLiqiang GengDepartment of ComputerScience,University of ReginaRegina,SK,Canada S4S0A2gengl@cs.uregina.caABSTRACTA pattern is of utility to a person if its use by that per-son contributes to reaching a goal.Utility based measures use the utilities of the patterns to reflect the user’s goals.In this paper,wefirst review utility based measures for itemset mining.Then,we present a unified framework for incorpo-rating several utility based measures into the data mining process by defining a unified utility function.Next,within this framework,we summary the mathematical properties of utility based measures that will allow the time and space costs of the itemset mining algorithm to be reduced. Categories and Subject DescriptorsH.2.8[Database Management]:Database Applications—data miningGeneral TermsMeasuresKeywordsData Mining,Knowledge Discovery,Interestingness Mea-sures,Utility Based Measures,Utility Based Data Mining 1.INTRODUCTIONData mining can be regarded as an algorithmic process that takes data as input and yields patterns,such as classification rules,itemsets,association rules,or summaries,as output.∗Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted withoutfee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on thefirst page.To copy otherwise,or republish,to post on servers or to redistribute to lists,requires prior specific permission and/or a fee. UBDM’06,August20,2006,Philadelphia,Pennsyl-vania,USA.Copyright c 2006ACM1-59593-440-5/06/0008...$5.00.For example,frequent itemsets can be discovered from mar-ket basket data and used to derive association rules for pre-dicting the conditional probability of the purchase of certain items,given the purchase of other items[1,2,9].An item-set is a set of items.The goal of frequent itemset mining is to identify all frequent itemsets,i.e.,itemsets that have at least a specified minimum support,which is the percentage of transactions containing the itemset.In this paper,we focus on itemset mining.Interestingness measures can play an important role in knowl-edge discovery.These measures are intended for selecting and ranking patterns according to their potential interest to the user.For example,itemset mining is based on the assumption that only itemsets with high support are of in-terest to users.That is,the support measure uses frequency as an estimate of the utility of a pattern to a user. Measuring the interestingness of discovered patterns is an active and important area of data mining research.A com-prehensive study of twenty-one measures that were origi-nally developed in diversefields such as statistics,social sci-ence,machine learning,and data mining is presented by Tan et al.[19].Hilderman and Hamilton[8]theoretically and empirically evaluated twelve diversity measures used as heuristic measures of interestingness for ranking summaries generated from dataset.Yao et al.[21]presented a simple and unified framework for the study of quantitative mea-sures associated with rules.Most research on interestingness measures has focused on using a statistical or mathematical method to evaluate the usefulness of rules[10],but such a method is not trivial for a human expert to understand.In general,it is not easy for user to choose one of the mea-sures,because even data mining specialists or practitioners may not be familiar with all available measures.In practice,the frequency of occurrence may not express the semantics of applications,because the user’s interest may be related to other factors,such as cost,profit,or aesthetic value.For example,simply choosing the frequent itemsets does not reflect the impact of any factor except the frequency of the items.The usefulness of the support measure is re-duced by problems with the quantity and quality of the min-ing results.First,a huge number of frequent itemsets that are not interesting to the user are often generated when the minimum support is low.For example,there may be thou-sands of combinations of products that occur in1%of thetransactions.If too many uninteresting frequent itemsets are found,the user is forced to do additional work to select the rules that are indeed interesting.Second,the quality problem is that support,as defined based on the frequency of itemsets,is not necessarily an adequate measure of a typi-cal user’s interest.A sales manager may not be interested in frequent itemsets that do not generate significant profit.In other word,frequent itemsets may only contribute a small portion of the overall profit,whereas non-frequent itemsets may contribute a large portion of the profit[12].The follow-ing example shows that support based itemset mining may lead to some high profit itemsets not being discovered due to their low support.Example1.Consider the small transaction dataset shown in Table1and the unit profit for the items shown in Table2. Each value in the transaction dataset indicates the quantity sold of an ing Table1and2,the support and profit for all itemsets can be calculated(see Table3).For example, since for the10transactions in Table1,only two transac-tions,t8and t9,include both items B and D,the support of the itemset BD is2/10=20%.Since t8includes one B and one D,and t9includes one B and ten D s,a total of two B s and eleven D s appear in transactions containing the itemset ing the Table2,the profit for each item B is100and the profit for each item D is1.Thus,the profit of the item-sets BD could be considered to be2×100+11×1=211. The profit of the other itemsets in Table3can be obtained in a similar fashion.Supposing that the minimum support is40%,the frequent itemsets in Table3are D,A,AD,and C,but the four most profitable itemsets are BD,B,AC, and CD,all of which are infrequent itemsets.Transaction ID Item A Item B Item C Item Dt14010t22006t300130t43005t51006t640210t72008t81111t901010t105009Table1:A transaction dataset.Item Name Profit($)Item A5Item B100Item C38Item D1Table2:The profit table for the items.In general,a pattern that is of interest to one user may not be of interest to another user,since users have different lev-els of interest in patterns.The support measure reflects the frequency of combinations of items,but it does not reflect their semantic significance.Thus,a user may incur a high computational cost that is disproportionate to what the user wants and gets[14].A natural way for interesting measureItemsets Support(%)Profit($)A80110B20200C40190D9085AB10105AC30197AD70135BC10138BD20211CD30193ABC10143ABD10106ACD20150BCD10139ABCD10144Table3:The support,and the profits of all itemsets. may allow a user to express his or her concern about the usefulness of results since only the user know his or her in-formation need.That is,to allow data mining to further its impact on real-world applications,it is appropriate to consider user-specified interestingness,which bring more se-mantics of applications into data mining process and evalu-ate how user’s expectation affect the data mining process.To make clear the opportunity for a unified framework,we survey measures of interestingness for utility based data mining of itemsets.Utility based data mining refers to al-lowing a user to conveniently express his or her perspec-tives concerning the usefulness of patterns as utility values and thenfinding patterns with utility values higher than a threshold[20].A pattern is of utility to a person if its use by that person contributes to reaching a goal.People may have differing goals concerning the knowledge that can be extracted from a data set.For example,one person may be interested infinding the sales with the most profit in a transaction data set.Another person may be interested infinding the largest increase in gross sales.This kind of interestingness is based on user-defined utility functions in addition to the raw data[4,5,6,11,13,16,20].In fact, to achieve a user’s goal,two types of utilities for items may need to be identified.The transaction utility of an item is directly obtained from the information stored in the trans-action dataset.For example,the quantity of an item in Ta-ble1is a kind of transaction utility.The external utility of an item is given by the user.It is based on information not available in the transaction dataset.For example,a user’s beliefs about the profit associated with items is expressed in Table2.External utility often reflects user preference and can be represented by a utility table or utility function. By combining a transaction dataset and a utility table(or utility function)together,the discovered patterns will bet-ter match a user’s expectations than by only considering the transaction dataset itself.Tofind patterns that conform to a user’s interests,in this paper,we present a unified frame-work to show how utility measures are incorporated into data mining process by defining a unified utility function. Furthermore,three mathematical properties of this unified utility function are identified to allow the time and space costs of the mining algorithms to be reduced.The remainder of this paper is organized as follows.In Sec-tion2,we survey utility based measures for mining itemsets.A framework for incorporating these utility measures in the data mining process is presented in Section3.In Section4, the mathematical properties of utility based measures are identified.Finally,conclusions are drawn in Section5. 2.UTILITY BASED MEASURES Researchers have proposed interestingness measures for var-ious kinds of patterns,analyzed their theoretical properties, evaluated them empirically,and proposed strategies for se-lecting appropriate measures for particular domains and re-quirements.In data mining research,most interestingness measures have been proposed for evaluating itemsets and association rules.In this paper,we concentrate on interest-ingness measures that depend on the utility(usefulness)of the itemsets.We begin by reviewing pertinent notions used for itemset mining.Adapting from the notation used in the descrip-tions of other itemset mining approaches[5,16],we let I={i1,...,i p,i q,...,i m}be a set of items,where each item is associated with an attribute of a transaction dataset T. Each transaction t q in T is a subset of I.An itemset S is a subset of I,i.e.,S⊆I.To simplify notation,we sometimes write an itemset{i1,...,i k}as i1...i k;e.g.,ABCD repre-sents itemset{A,B,C,D}.We denote the support value of itemset S as s(S)and the utility value of itemset S as u(S).Definition1.The transaction set of an itemset S,de-noted T S,is the set of transactions that contain itemset S,i.e.,T S={t q|S⊆t q,t q∈T}.For instance,consider the transaction dataset shown in Ta-ble1,supposing itemset S is S=AD.By definition, T S={t2,t4,t5,t6,t7,t8,t10}.A utility based measure is a measure that takes into con-sideration not only the statistical aspects of the raw data, but also the utility of the mined patterns.Motivated by the decision theory,Shen et al.stated that the”interestingness of a pattern=probability+utility”[17].Based on the user’s specific objectives and the utility of the mined pat-terns,utility-based mining approaches may be more useful in real applications,especially in decision making problems. In this section,we review utility based measures for item-sets.Since we use a unified notation for all methods,some representations differ from those used in the original papers. The simplest method to incorporate utility is called weighted itemset mining,which assigns each item a weight represent-ing its importance[5,11].For example,the weights may correspond the profitability of different items;e.g.,a com-puter(item A)may be more important than a phone(item B)in terms of profit.Weights assigned to items are also called horizontal weights[13].The weights can represent the price or profit of a commodity.In this scenario,two measures are proposed to replace support.Thefirst one is called weighted support,which is defined assupport w(S)=(i p∈S w p)s(S),(1)where w p denotes the weight of item i p.Thefirst factor of the weighted support measure has a biastowards the rules with more items.When the number ofthe items is large,even if all the weights are small,the to-tal weight may be large.The second measure,normalizedweighted support,is proposed to reduce this bias and is de-fined assupport nw(S)=1(i p∈Sw p)s(S),(2)where|S|is the number of items in the itemset S.The traditional support measure is a special case of normal-ized weighted support,because when all weights for itemsare equal to1,the normalized weighted support is identi-cal to support.The Weighted Items(WI)approach[5]andthe Value Added Mining(VAM)approach[11]use weighteditems to capture the semantic significance of itemsets at theitem level.Unlike frequent itemset mining,which treats allitems uniformly,both of these approaches assume that itemsin a transaction dataset(columns in the table)have differentweights to reflect their importance to the user.Lu et al.proposed another data model by assigning a weightto each transaction[13].The weight represents the signifi-cance of the transaction in the data set.Weights assignedto transactions are also called vertical weights[13].For ex-ample,the weight can reflect the transaction time,i.e.,morerecent transactions can be given greater weights.Based onthis model,vertical weighted support is defined assupport v(S)=t q∈T Sw qt∈Tw,(3)where w q and w denote the vertical weight for transactionst q and t,respectively.The mixed weighted model[13]uses both horizontal andvertical weights.In this model,each item is assigned a hor-izontal weight and each transaction is assigned a verticalweight.Mixed weighted support is defined assupport m(S)=support nw(S)·support v(S).(4)Both support v and support m are extensions of the tradi-tional support measure.If all vertical and horizontal weightsare set to1,both support v and support m are identical tosupport.Objective oriented utility based association(OOA)miningallows a user to set objectives for the mining process[17].Inthis method,the attributes are partitioned into two groups,the target attributes and the non-target attributes.A non-target attribute(called an nonobjective attribute in[17]isonly permitted to appear in the antecedents of associationrules.A target attribute (called an objective attribute in [17])is only permitted to appear in the consequents of rules.The target attribute-value pairs are assigned utility values.The mining problem is to find frequent itemsets of non-target attributes,such that the utility values of their correspond-ing target attribute-value pairs are above a threshold.For example,in Table 4obtained from [17],Treatment is a non-target attribute,while Effectiveness and Side-effect are two target attributes.The goal of the mining problem is to find treatments with high effectiveness and mild side effects.The utility measure is defined asu (S )=1s (S )t q∈TSu (t q ),(5)where S is the non-target itemsets to be mined (the Treat-ment attribute-value pairs in the example)and u (t q )denotes the utility of transaction t q .The function u (t q )is defined asu (t q )=i p ∈C qf (i p ),(6)where C q denotes the set of target items in transaction t q and f (i p )is the utility function of item i p ,which denotes the utility associated with i p .If there is only one target attribute and its weight equals to 1,t q ∈T S u (t q )is identical to s (S ),and hence u (S )equals to 1.Continuing the example,we assign the utility values to the target attribute-value pairs shown in Table 5and accord-ingly obtain the utility values for the treatments shown in Table 6.For example,Treatment 5has the greatest util-ity value 1.2,and therefore,it best meets the user specified target.TID TreatmentEffectivenessSide-effectt 1124t 2242t 3242t 4223t 5213t 6342t 7342t 8314t 9452t 10442t 11442t 12431t 13541t 14541t 15511t 16531Table 4:A medical dataset.The approach of Lu et al.[13]and OOA mining approach [6,17]both capture the semantic significance of itemsets at the transaction level.They assume that transactions in a dataset (rows in the table)have associated utility values that reflect their importance to the user.Effectiveness Side-effect Value Meaning Utility Value Meaning Utility 5Much better 14Very serious -0.84Better 0.83Serious -0.43No effect 02A little 02Worse -0.81Normal0.61Much worse-1Table 5:Utility values for Effectiveness and Side-effect .Itemset Utility Treatment =1-1.6Treatment =2-0.25Treatment =3-0.066Treatment =40.8Treatment =51.2Table 6:Utilities of the items.Hilderman et al.proposed the Itemset Share framework that takes into account weights on both attributes and attribute-value pairs [7].The precise impact of the purchase of an itemset can be measured by the itemset share ,the frac-tion of some overall numerical value,such as the total value of all items sold.For example,in a transaction data set,the weight on an attribute could represent the price of a commodity,and the weight on an attribute-value pair could represent the quantity of the commodity in a transaction.Based on this model,in the Itemset Share framework,sup-port is generalized.The count support for itemset S is de-fined ascount sup (S )=t q ∈T Si p∈S w (i p ,t q )t ∈Ti ∈Iw (i,t ),(7)where w (i p ,t q )denotes the weight of attribute i p for trans-action t q and w (i p ,t q )>0.Similarly,the amount support is defined asamount sup (S )=t q ∈T Si p ∈S w (i p ,t q )w (i p )t ∈Ti ∈Iw (i,t )w (i ),(8)where w (i p )is the weight for attribute i p and w (i p )>0.Based on the data model in [7],Yao et al.proposed another utility measure [20],defined asu (S )= t q ∈T Si p ∈Sw (i p ,t q )w (i p ),(9)where w (i p ,t q )denotes the utility value of attribute i p for transaction t q ,w (i p )denotes the utility value of attribute i p ,w (i p ,t q )>0and w (i p )>0.This utility function is similar to amount support,except that it represents a utility value,such as the profit in dollars,rather than a fraction of the total weight of all transactions in the data set.The Itemset Share(IS)approach[4]and the approach of Yao et al.[20]capture the semantic significance of numerical values that are typically associated with the individual items in a transaction dataset(cells in the table).Table7summarizes the utility measures discussed in this section by listing the name of each measure and its data model.The data model describes how the information rel-evant to the utility is organized in the data set.All these measures are extensions of the support and confidence mea-sures.No single utility measure is suitable for every applica-tion,because applications have different objectives and data models.Given a data set,one could choose a utility mea-sure by examining the data models for the utility measures given in Table7.For example,if one has a data set with weights for each row,then one might choose the vertical weighted support measure.By checking Table7carefully, wefind that the difference among these models are:(1) different levels of granularity(item level,transaction level, and cell level)are used to specify the semantic significance of itemsets,and(2)different pruning strategies are developed according to the properties of these measure functions.For (1),we present a unified framework for utility base mea-sures that incorporates existing utility based measures into data mining process in Section3.For(2),we summarize the mathematical properties of the unified framework for utility base measures in Section4.3.A UNIFIED FRAMEWORK FOR UTIL-ITY BASED MEASURESDuring the knowledge discovery process,utility based mea-sures can be used in three ways,which we call the roles of the utility based measures.Figure1shows these three roles.First,measures can be used to prune uninterest-ing patterns during the data mining process to narrow the search space and thus improve the mining efficiency.For example,a threshold for support can be used tofilter out patterns with low support during the mining process and thus improve efficiency[2].Similarly,a utility threshold can be defined and used for pruning patterns with low utility values[20].Secondly,measures can be used to rank the pat-terns according to the order of their interestingness scores. Thirdly,measures can be used during post processing to se-lect the interesting patterns.For example,after the data mining process,we can use the chi-square test to select the rules that have significant correlations[3].The second and third approaches can also be combined byfirstfiltering the patterns and then ranking them.For the second or third ap-proach,utility based measures need not be incorporated into the data mining algorithm.In this paper,we concentrate on first method since it can improve the mining efficiency by reducing the time and space costs of the mining algorithm. Now,formal definitions of key terms used in our unified utility framework for utility measures for mining itemsets are presented.We denote the utility value of an itemset S as u(S),which will be described in more detail shortly.Definition2.The utility constraint is a constraint of the form u(S)≥minutil.Definition3.An itemset S is a high utility pattern if u(S)≥minutil,where minutil is the threshold defined by the user. Otherwise,S is a low utility itemset.Based on the utility constraint,the unified utility framework for utility measures is defined as follows.Definition4.The utility based itemset mining problem is to discover the set H of all high utility itemsets,i.e.,H={S|S⊆I,u(S)≥minutil}.(10) For example,consider the itemsets in Table3.If u(S)is the profit of an itemset S and minutil=150,then H= {B,C,AC,BD,CD,ACD}.According to the survey presented in Section2,u(S)plays a key role in specifying utility based data mining problems. Different utility measures use different formulas for u(S). Now,we show how to define u(S)in terms of a user defined utility function f.In Example1,the profit of an item-set reflects a store manager’s goal of discovering itemsets producing significant profit(e.g.,minutil=150).A user judges BD to be useful,since the profit of itemset BD is greater than minutil.We observe that the semantic mean-ing of profit can be captured by a function f(x,y),where x is the quantity sold of an item and y is the unit profit of an item.The usefulness of an itemset is quantified as the product of x and y,namely,f(x,y)=x·y.The value of x can be obtained from the transaction dataset and depends only on the underlying dataset[18].On the other hand, the value of y is often not available in a transaction dataset and may depend on the user who examines the pattern[18]. Thus,in this case,the significance of an item is measured by two parts.One is the statistical significance of the item measured by parameter x,which is an objective term inde-pendent of its intended application.The other part is the semantic significance of the item measured by parameter y,which is a subjective term dependent on the application and the user.As a result,f(x,y)combines objective and subjective measures of an item together.The combination captures the significance of the itemset for this application, which reflects not only the statistical significance but also the semantic significance of the itemset.Definition5.The transaction utility value of an item,de-noted x pq,is the value of an attribute associated with an item i p in a transaction t q.For example,in Table1,the quantity sold values in the transactions are the transaction utility values.If i4=D, then x43=30is the transaction utility value of item D in transaction t3.In this paper,we restrict transaction utility variable values to numerical values,because,typically,transaction utility information can be represented in this form.MeasuresData models Extension of Weighted supportWeights for items Support Normalized weighted support Weights for itemsSupport Vertical weighted support Weights for transactionsSupport Mixed weighted supportWeights for both items and transactions Support OOA Target and non-target attributes Weights on transaction for target attributes Support Count support Weights foritems and cells in data set Support Amount support Weights for items and cells in data set Support Count confidence Weights for items and cells in data set Confidence Amount confidence Weights for items and cells in data set Confidence Yao et al.’s Weights for items and cells in data set SupportTable 7:Utility based interestingness measures.Figure 1:Roles of utility based measures.Definition 6.The external utility value of an item ,de-noted y p ,is a real number assigned by the user such that for any two items i p and i q ,y p is greater than y q iffthe user prefers item i p to item i q .The definition indicates that a external utility value is asso-ciated with a specific value in a domain to express user pref-erence.In practice,the value of y p is assigned by the user according to his interpretation of domain specific knowledge measured by some utility factors,such as cost,profit,or aes-thetic value.For example,let i 1=A and i 2=B .Using the Table 2,we have y 1=5and y 2=100.The inequality y 2>y 1reveals that the store manager prefers item B to item A ,since each item B earns more profit than each item A .By obtaining the transaction utility value x pq from a trans-action dataset and the external utility value y p from the user,a utility function to express the significance of an item-set can be defined as a two dimensional function f (x,y ).Definition 7.A utility function f is a function f (x,y ):(R,R )→R ,where R is the set of real numbers.Example 2.Consider the transaction dataset in Table 1and the profit table in Table 2.Let items i 1,i 2,i 3,and i 4be items A ,B ,C ,and D ,respectively.Suppose that the user defines utility function f (x pq ,y p )as f (x pq ,y p )=x pq ·y p ,where x pq is the quantity sold of an item i p in a transaction t q ,and y p is the unit price of the item i p .Then f (x 11,y 1)=4×5=20,which indicates that the supermarket earns $20by selling four A s in transaction t 1.Similarly,f (x 21,y 2)=0,f (x 31,y 3)=1×38=38,and f (x 41,y 4)=0.The utility value of an item is the sum of the values of the utility function for each transaction.Definition 8.The utility value of an item i p in an itemset S ,denoted l (i p ,S ),is the sum of the values of the utility function f (x pq ,y p )for each transaction t q in T S ,i.e.,l (i p ,S )=t q ∈T Sf (x pq ,y p ).(11)For example,consider the transaction dataset in Table 1with the profit table in the Table 2.If S =ACD ,then T S ={t 6,t 8},thus l (A,S )=4×5+1×5=25.The utility value of an itemset is represented by the sum of the utility values of every item in the itemset.Definition 9.The utility value of an itemset S ,denoted u (S ),is the sum of the utility value of each item in S ,i.e.,u (S )=i p ∈Sl (i p ,S ).(12)By substituting Equation 11into Equation 12,we obtainu (S )= i p ∈St q ∈T Sf (x pq ,y p ).(13)For example,given f (x pq ,y p )=x pq ·y p ,for itemset S =ACD ,we have T S ={t 6,t 8},then u (S )=l (A,S )+l (C,S )+l (D,S )=5×5+3×38+11×1=150.。

expected utility

expected utility

expected utilityexpected utility 1, in decision theory, the expected value of an action to an agent, calculated by multiplying the value to the agent of each possible oute of the action by the probability of that oute occurring and then summing those numbers. the concept of expected utility 1 is used to elucidate decisions made under conditions of risk. according to standard decision theory, when paring alternative courses of action, one should choose the action that has the greatest expected utility 1.the concept of expected utility 1 and the rule of maximizing expected utility 1 have wide application to decisions in business contexts, including those involving insurance, capital expenditures, investment, marketing, and operations. the utility of the outes under consideration in such contexts can usually be specified in terms of potential monetaryprofits and losses. businesses can use their estimation of the likelihoods of the outes of options open to them along with their associated monetary losses and gains to determine the expected utility 1 of each option in terms of its expected monetary profits. the option with the greatest expected utility 1 will then simply be that which has the largest expected profit associated with it, and that option, according to the rule of maximizing expected utility 1, will be the optimal choice.although the concept of expected utility 1 has played an important role in the study of economic behaviour, criticisms have been raised concerning its application to contexts of choice in business and economics. for instance, some theorists from the social and behavioral sciences argue that the cognitivelimitations of human beings make the concept of expected utility 1 as a guide to choice too idealized for use in most significant decision contexts. such critics thus advocate notions of bounded rationality that are more sensitive to those limitations and make use of evaluative concepts that do not depend on the precise sorts of assessments that are involved in determinations of expected utility 1. other critics have argued that the application of expected utility 1 to economic decisions, including policy decisions, has engendered inappropriate valuations, particularly in cases in which monetary units are used to scale the utility of nonmonetary outes, such as potential deaths or damage to the environment.many philosophers have questioned whether the rule of maximizing expected utility 1 represents an adequate or plete guide to decisions, particularly with regard to decisions of an ethical nature. the rule of maximizing expected utility 1 represents a consequentialist form of reasoning, in which actions are judged solely in terms of their potential outes. as such, philosophers of a deontological orientation question whether such reasoning can provide an adequate account of the role of rights and duties inpractical reasoning. such philosophers argue, for instance, that the moral rights of those affected by an action place constraints on the worthiness of a choice independent of the value of the consequences of that choice.。

UTILITY METERING

UTILITY METERING

专利名称:UTILITY METERING发明人:DONALDSON, JAMES,MCCULLOCH, MALCOLM申请号:GB2009001754申请日:20090717公开号:WO2010007369A3公开日:20100325专利内容由知识产权出版社提供摘要:An apparatus has an input section arranged to receive values representative of the total instantaneous supply of electrical current as a function of time from an alternating voltage supply. Current waveforms comprising sets of values representative of the cyclic waveform of the electric current supply are obtained. A delta waveform generator calculates the difference between a current waveform and an earlier current waveform. An edge detector is arranged to detect an edge or edges in the delta waveform. An analysis section is arranged to identify at least one appliance load based at least on information on the edge or edges detected by the edge detector, and to determine the electrical energy consumed by said appliance load. Another apparatus has an input section arranged to receive values representative of the current supplied to an installation, such as a house. A store contains appliance data characteristic of the use of electricity by each of a plurality of appliances. A processor is arranged to analyse the received values to detect when an appliance is switched on and determine the fractional change in resistance of a heating appliance from the when it is switched on until it reaches its operating temperature. This information is used to identify what the particular appliance is, and to determine the electrical energy consumption by that appliance. Autility meter for metering the use of at least one utility supplied to a plurality of appliances is also disclosed. An input section is arranged to receive values representative of the use of a first utility. A store contains appliance data characteristic of the use of utilities by each of a plurality of appliances. A processor is arranged to analyse the received values and to determine information on the use of a second utility by each appliance, based on the received values and appliance data.申请人:ISIS INNOVATION LIMITED,DONALDSON, JAMES,MCCULLOCH, MALCOLM 代理人:PALMER, JONATHAN, RICHARD更多信息请下载全文后查看。

The Utility Analysis of Choices Involving Risk

The Utility Analysis of Choices Involving Risk

The Utility Analysis of Choices Involving RiskAuthor(s): Milton Friedman and L. J. SavageSource: The Journal of Political Economy, Vol. 56, No. 4, (Aug., 1948), pp. 279-304Published by: The University of Chicago PressStable URL: /stable/1826045Accessed: 12/06/2008 02:21Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at/page/info/about/policies/terms.jsp . JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use.Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at /action/showPublisher?publisherCode=ucpress .Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission.JSTOR is a not-for-profit organization founded in 1995 to build trusted digital archives for scholarship. We enable the scholarly community to preserve their work and the materials they rely upon, and to build a common research platform that promotes the discovery and use of these resources. For more information about JSTOR, please contact support@.。

Intellectual Property Rights Protection and Endogenous Economic Growth

Intellectual Property Rights Protection and Endogenous Economic Growth

Intellectual Property Rights Protection and Endogenous Economic Growth∗Yum K.Kwan‡and Edwin i†This version:August23,2001Published in Journal of Economic Dynamics and Control,Vol27(2003)853-873.AbstractThe main purpose of the paper is to examine the impact of intellectual property rights (hereinafter IPR)protection on economic growth and welfare.To achieve this aim, we make use of an expanding-variety type R&D-based endogenous growth model.We work out the transitional dynamics of a shock in IPR protection and account fully for the loss in current consumption and gain in consumption growth due to a tightening IPR protection.Wefind that there exists an optimal degree of IPR protection in our model.We then calibrate our model by US data,and found that under-protection of IPR is much more likely than over-protection.Moreover,in the case of over-protection,the welfare losses are trivial;whereas in the case of under-protection,the welfare losses can be substantial.Keywords:Intellectual Property Rights,Innovation,Growth.JEL Classification Number:O31,O34,O4.––––—†Corresponding Author.Department of Economics and Finance,City University of Hong Kong,Kowloon,Hong Kong.Phone:+(852)2788-7317;Fax:+(852)2788-8806;E-mail:i@.hk.‡Department of Economics and Finance,City University of Hong Kong,Kowloon, Hong Kong.∗We would like to thank Eric Bond,Ping Wang,Isaac Erhlich,Kar-yiu Wong,two anonymous referees,and participants in the brown bag seminar in City University of Hong Kong and International Conference on“Innovation,Appropriate Strategies and Economic Policy”held in Paris,1999(especially Professor J.Hellier)for helpful discussions and constructive comments.The work in this paper has been supported by the Research Grants Council of Hong Kong,China(Project no.CityU1145/99H).1IntroductionThe main purpose of the paper is to examine the impact of intellectual property rights (hereinafter IPR)protection on economic growth and welfare.To achieve this aim,we make use of an expanding-variety type R&D-based endogenous growth model a la Romer(1990). The simplest way to model IPR protection is to assume that imitation is costless,and that stronger IPR protection lowers the rate of imitation.This is the approach we adopt here.1The conventional wisdom in the literature about strengthening IPR protection is that it encourages investment in R&D,yet depresses current consumption.Since there is a tradeo®between current loss in consumption and future gain in growth rate,there is a possibility of the existence of an optimal degree of IPR protection.The existence and properties of such an optimum,however,have not been con¯rmed before in the endogenous growth literature, partly because it involves a full characterization of the transitional dynamics of the rate of innovation and fraction of goods imitated in the economy.If transitional dynamics are not considered,and one focuses only on the steady state,then the welfare analysis is misleading. In fact,steady state welfare is maximized when growth rate of consumption is maximized. This will be achieved by protecting IPR fully and forever.Obviously,such a corner solution is intuitively unappealing and also counter-factual,since the transitional welfare gains and losses are not taken into account.This paper shows that once transitional dynamics are taken into account,there exists a¯nite optimal degree of IPR protection.One contribution of our paper is that we compute the optimal IPR by working out the transitional dynamics of a shock in IPR protection and accounting fully for the loss in current consumption and gain in consumption growth due to a tightening of IPR protection. Speci¯cally,we¯nd that when the government announces an immediate increase in IPR protection,there is an immediate drop in current consumption and an immediate increase in the rate of growth of consumption,as well as overshooting of the rate of innovation.The instantaneous fall in consumption is caused by an expansion of the R&D sector,which bids up interest rate and induces more saving.On the other hand,higher investment in R&D leads to higher growth of consumption following the initial level drop.At the optimal level of IPR,the marginal cost due to current consumption loss is equal to the marginal gain due to consumption growth.We are able to compute this optimal level of IPR,the existence and signi¯cance of which has not been established in the literature.1If we assumed that imitation is costly,then tightening IPR protection amounts to increasing the cost of imitation.In that case,we believe similar results would obtain.1Another contribution of our paper is that it estimates the welfare loss due to deviation of the current IPR protection in the US from the optimal level.We conclude that under-protection of IPR is potentially a very important reason for under-investment of R&D.This is complementary to other work in the literature(e.g.Jones and Williams(1998,2000)). To assess quantitatively the welfare signi¯cance of optimal IPR protection,we calibrate our model by US data on long-term growth rate,mark-up factor in manufacturing industries, time rate of preference and intertemporal elasticity of substitution.The calibration results indicate that there is under-protection of IPR(relative to the optimal level)within plausible range of parameter values,and that under-protection of IPR is much more likely than over-protection.More complete computation indicates that in the case of over-protection,the welfare losses are trivial;whereas in the case of under-protection,the welfare losses can be substantial.One interpretation of this result is that the US should protect IPR much more than it currently does.Our speci¯cation of R&D draws from the`laboratory equipment'model used in Rivera-Batiz and Romer(1991).The dynamic analysis is similar to that of Helpman(1993).Help-man studies the e®ect of IPR protection in the South on the welfare of the North and the South in a two-region global economy.Contrary to our main objective,he does not attempt to¯nd whether there is an optimal degree of IPR,nor is he interested in whether there is under-protection of IPR in the global economy.2There are by and large two types of R&D-based endogenous growth models:expanding-variety type and quality-ladder type.O'Donoghue and Zweimuller(1998)construct a quality-ladder type R&D-based endogenous growth model in the tradition of Grossman and Help-man(1991a)and Aghion and Howitt(1992).They merge the patent-design literature and endogenous-growth literature incorporating both length and breadth of patent in the quality ladder.They point out the short-comings of the partial equilibrium patent-design analyses, which omit the general equilibrium e®ects.One of these e®ects is that when multiple in-dustries use patent protection,the monopoly distortion e®ect can be greatly diminished.In our model,rather than the tradeo®between static and dynamic e±ciency,the central issue is the tradeo®between loss in current consumption and gain in consumption growth when IPR protection is strengthened across industries.Futagami,Mino and Ohkusa(1996)study optimal patent length in a Grossman-Helpman type quality-ladder model.Although they 2In fact,it is not clear whether there exists a globally optimal IPR in his model.Stronger IPR in the South actually reduces the rate of innovation in his model with Southern imitation and endogenous rate of innovation.2identify an optimal patent length under certain conditions,there is no transitional dynamics as in our model.Nonetheless,their work is an interesting complement to our paper.Our result suggests that there is under-investment in R&D due to under-protection of IPR.This under-investment result echoes that of Jones and Williams(1998),who¯nd that the US under-invested in R&D by a factor of two to four.Jones and Williams(2000)is an attempt to account for the relative importance of the various externalities that are responsible for the deviation of the market equilibrium from the optimal level of R&D,such as knowledge spillovers,`stepping on toes'e®ect,and creative destruction.Our quantitative result points out that under-protection of IPR is another important reason for under-investment of R&D. Our contention that IPR protection is an important determinant of growth is echoed by the work of Jones(2001),who argues that property rights protection is responsible for the emergence of the\industrial revolution"in the twentieth century.Our closed-economy result should be readily extended to an international setting.For example,Lai(1998a)¯nds that the rate of innovation increases with stronger IPR in both the North and the South as long as DFI(direct foreign investment)is the major channel of international technology di®usion.Accordingly,an optimal degree of IPR should also exist in a global economy.However,in a two-country setting,there are additional issues to be addressed,e.g.How are the e®ects of Southern IPR protection di®erent from those of Northern protection?;and,Should there be harmonization of IPR standards?Moreover,the channel through which international technology di®usion occurs can a®ect the results.3Section2lays out the model,and derive the dynamics when there is an immediate increase of IPR protection.The optimal degree of IPR protection is derived.In section3, we calibrate the model to the US economy.Since closed form solution is not possible,we solve the dynamic general equilibrium numerically,and compute the optimal degrees of IPR protection that correspond to di®erent assumed actual monopoly durations of the innovators. Section4concludes with some discussion on future extensions.3These channels can include DFI,imitation,or licensing of technology.Contrary to Lai(1998a),when DFI does not play a central role in international technology di®usion,stronger Southern IPR can lead to lower rate of innovation,such as in Helpman(1993),Grossman and Helpman(1991b)and Glass and Saggi (forthcoming).32The ModelThe model is a dynamic general equilibrium one,with expanding-variety type R&D as the engine of growth.There is only one¯nal good,which can be used for consumption,for production of intermediate goods,and for R&D,which is needed to invent new varieties of intermediate goods.The production function for the¯nal good is characterized by an expanding variety of producer intermediates of the form:Y=L1¡®Z A0x(i)®di;0<®<1(1) where Y is the quantity of¯nal good;L is labor input;x(i)is the variety of producer intermediates with index i;and A;the number of varieties,increases over time as a result of innovations.The¯nal good market is perfectly competitive.The intermediate good market is monopolistically competitive a la Dixit-Stiglitz(1977), Ethier(1982)and Romer(1990).Sellers are innovators of intermediate goods and buyers are¯nal good producers.There is no uncertainty in innovation.Motivated by the prospect of monopoly pro¯t,an innovator invests in¯units of¯nal good and obtains a blueprint of a new variety.It then earns the opportunity to produce the new intermediate good at unit marginal cost(i.e.,the cost of one unit of¯nal good)and sell the di®erentiated intermediate good at a pro¯t-maximizing markup of1=®.To allow a role for IPR protection,following Helpman(1993),we assume an imitation process of the form_A=¹(A¡A c);¹>0(2)cThe variable A c is the number of goods that have been imitated;whereas A¡A c is the number of goods that have not been imitated and thus available for imitation.The parameter ¹captures the strength of IPR protection,with higher value meaning weaker protection.It is the hazard rate at which the market power of an intermediate good producer disappears at the next date,given that its market power has not been eroded so far.This rate is de¯ned as the rate of imitation.The rate of imitation is dependent on many factors.One way to capture explicitly all these factors is to decompose¹into two terms:¹´¶±,where¶is the natural rate of imitation(the rate of imitation when there is no IPR protection at all),and 0<±<1is an index of the strength of IPR protection provided by the government,with higher±representing weaker protection.Full IPR protection implies that±=0,and no IPR protection implies that±=1.The parameter¶is dependent on the level of technology,use4of masking or other measures by the innovator to prevent or delay imitation,the stock of human capital,entrepreneurship,entry barriers,anti-trust policies,etc.The parameter±is dependent on patent length and breadth,laws on trademark,copyrights and trade secrets, and enforcement of IPR.Although¹is in°uenced by an array of factors,we assume that government IPR policy only a®ect±,while¶is assumed to be constant.Therefore,we regard¹as a parameter that can be controlled by the government through its IPR policy. Hereinafter,we shall refer to a tightening of IPR protection as a decrease in¹(caused by a decrease in±).4Once a product is imitated,we assume that competition will drive the price down to marginal cost.Thus,we can classify the intermediate goods into two groups:goods with index i2(0;A c)are the imitated ones that are competitively priced,and the rest,with index i2(A c;A),that are still under monopoly.The demand functions for the two groups arex(i)=8<:L®1=(1¡®)´x c;i2(0;A c)L®2=(1¡®)´x m;i2(A c;A)(3) Clearly,x m<x c,which re°ects the usual monopoly distortion in resource allocation. To simplify the analysis,we assume that imitation is costless.5It follows that the resource 4The imitation(or technology di®usion)function we adopt,with constant hazard rate of imitation,has been used by others,such as Grossman and Helpman(1991b)and Eaton and Kortum(1999).Eicher(1999) contends that the level of human capital of the host country a®ects the international rate of di®usion of technology.As mentioned above,the existence of e®ects other than IPR protection in a®ecting the rate of imitation is not denied in our model,and can be easily incorporated into the model if necessary to address other questions.5Assuming costly imitation would make the analysis more complicated without altering the basic con-clusion of the paper,namely,there is under-protection of IPR and under-investment in R&D in the US economy.The reasons are as follows.First,Assuming non-trivial cost of imitation implies that there is an under-estimation of welfare gains from increasing IPR,as there are resources to be saved by reducing imitation e®ort.Thus,our estimate of the welfare gains from strengthening IPR is a lower bound.However, this actually strengthens our central conclusion that there is under-protection of IPR.Second,the assump-tion of non-trivial imitation cost makes the analysis less tractable:when imitation cost is non-trivial,the post-imitation market would become imperfectly competitive in equilibrium,making the analysis more com-plicated.Finally,imitation costs may well be quite low in reality.Mans¯eld et al(1981)¯nds that the cost of imitation on the average is about0.6times the cost of innovation.However,with the advent of the knowledge-based economy,there are more and more products for which the costs of imitation are very small compared with the cost of innovation(e.g.duplication of software),and Mans¯eld's estimates of average imitation costs are probably outdated by now.5constraint for the economy can be written asY =C +¯_A+A c x c +(A ¡A c )x m (4)where C is aggregate consumption.Taking into account ¹and the instantaneous pro¯t at each future date,a potential innovator decides whether or not to enter into the innovation business.Under the assumption of free entry into the innovation business,the present discounted value (PDV)of net pro¯ts of an innovator is equal to zero in equilibrium.That is,the rate of return to innovation,r m ,must be equal to the real interest rate adjusted for imitation risk:r m =r +¹(5)From (3)it follows that the rate of return r m =(L=¯)®2=(1¡®)(1=®¡1).The value of a ¯rm equals to the cost of innovation if there are no barriers to entry in the innovation business.Therefore,the PDV of the net pro¯ts of a ¯rm is zero.If there are entry barriers in the innovation business,the PDV of net pro¯ts of an innovator is positive.The higher the barriers,the larger the PDV of net pro¯ts.The representative consumer,who also owns the ¯rms,is assumed to choose a consump-tion path c (t )to maximize the utility functionU =Z 10"c (t )1¡µ¡11¡µ#e ¡½t dt;µ>0(6)subject to the usual life-cycle budget constraint with asset value equal to the value of the ¯rms.Applying standard optimal control arguments and making use of (5),we can write the consumer optimality condition as°c ´_C C =1µ(r m ¡¹¡½)(7)2.1Transitional DynamicsDe¯ne g ´A c =A and h ´C=(¯A ).The variable g is the fraction of goods that have been imitated and thus g 2[0;1].The variable h is a scaled and normalized version of consumption C .Using (1),(2),(3),(4)and (7),it can be shown that the dynamics of the market equilibrium can be summarized by two di®erential equations:8<:_g =¹(g ¡1¡1)+°1g +°2h +°3_h =°c +°1g +°2h +°3(8)6where°1´¡r m h®¡1=(1¡®)¡®¡1¡1i<0;°2´1;°3´¡r m(1+®)=®<0.6Equations (8)is an ordinary di®erential equation system of which a stable solution is determined by an initial condition at t=0and a boundary condition at t=1:The boundary condition is given by the steady stateg¤=¹c;h¤=¡°12g¤¡°c+°32(9)Notice that if¹=0,(8)is linear and admits a closed form solution.Figure1depicts the system's phase diagram which summarizes the transitional dynamics.The two curves corresponding to_g=0and_h=0always intersect,though not necessarily at positive h.A su±cient condition for the existence of a positive steady state is the_h=0curve having a positive intercept,i.e.°c+°3<0.The phase diagram reveals that the dynamic system is saddle-path stable.Along the stable arm,if the economy starts from point X at which g and h are below the steady state,both g and h will rise monotonically along the transitional path.Similarly,starting from point Y at which g and h are above the steady state,both g and h decline monotonically during the transition.[Insert Figure1here]2.2Comparative dynamics around the steady stateWe can learn more about the transitional dynamics by linearizing the di®erential equation system around the steady state.The linearized version can be written as"_g_h#=M¢"g¡g¤h¡h¤#(10) where M is a2x2matrix with the(i,j)element a ij beinga11=¡¹¢(g¤)¡2+°1<0;a12=a22=°2>0;a21=°1<0:(11)Let¸1and¸2be the two eigenvalues of M.Since¸1¸2=j M j=¡¹°2(g¤)¡2<0,¸1and ¸2must be real and opposite in sign.This means that the dynamic system is saddle-path 6Although°1,°2and°3are independent of¹,changes in¹have both a static e®ect(level e®ect)and a dynamic e®ect(growth e®ect).See Section2.2for more detail.7stable,con¯rming the qualitative conclusion of the phase diagram.Solving the characteristic equation j M¡Ix j=0,the two eigenvalues are¸1=12[(a11+a22)+B1=2];¸2=12[(a11+a22)¡B1=2](12)where B=(a11+a22)2¡4j M j>0.Since the two eigenvalues are of opposite sign,it follows that¸1>0and¸2<0.The general solution of the linearized system is8<:g(t)¡g¤=b1º11e¸1t+b2º12e¸2th(t)¡h¤=b1º21e¸1t+b2º22e¸2t(13)where[º1iº2i]0is the eigenvector corresponding to¸i,i=1;2,and b1and b2are constants to be determined by boundary ing the initial condition g(0)and the asymptotic boundary condition g(1)=g¤,which characterizes the stable saddle-path,it follows that b1=0and b2=g(0)¡g¤.Normalizeº12=1and writeº22´ºand¸2´¸<0;we have8<:g(t)=g¤+[g(0)¡g¤]e¸th(t)=h¤+[g(0)¡g¤]ve¸t(14)Let us determine the sign ofº.By de¯nition,"a11a12 a21a22#"1º#=¸"1º#(15)Solving forº,and using(11)and(12),it follows thatv=(¸¡a11)=a12=¡a21=(a22¡¸)>0(16)By combining the two equations in(14),we obtain the\policy function"h(g)(as in dynamic programming)which is nothing but the equation for the stable saddle-path on the phase diagram:h(g)=(h¤¡ºg¤)+ºg(17)Thus,around the steady state,h0(g)=º>0so that the stable saddle-path is upward sloping,con¯rming what we have found from the phase diagram.Now,let us evaluate the impact of a change in¹on the paths of g and ing(7)and(9),it is straightforward to check that both g¤and h¤increase with¹:@g¤@¹=µ°c+¹(°c+¹)2µ>0;@h¤@¹=¡°1°2@g¤@¹+1µ°2>0(18)8For analytical tractability,following Helpman(1993),we consider the¯rst order response of(g;h)to changes in¹by di®erentiating(14)with respect to¹,while ignoring the impactof¹on¸andº:@g(t)=(1¡e¸t)@g¤¸0(19)@h(t)=@h¤¡ve¸t@g¤=F(t)¢@g¤+12>0;(20)where F(t)´f¡°1°2(1¡e¸t)+°1¸g=f°2(°2¡¸)g>0.In particular,at t=0,@g(0)=@¹=0, implying that there is no jump in g as¹decreases(IPR protection tightens).However, @h(0)=@¹>0,which means that there is a downward jump in h as¹decreases.On the phase diagram,such a downward jump of the initial h shows up as a downward shift of the entire stable saddle-path as illustrated in Figure2.Suppose we start from X on the saddle-path h(g;¹)corresponding to a certain value of¹.Now suppose IPR protection is tightened so that¹#¹0.The value h(0)´h(g(0);¹)is no longer on the equilibrium path;rather,the equilibrium initial h should take a discrete downward jump from X to Y,with the size of the jump given by@h(0)=@¹.Since X is arbitrary,this implies that the entire saddle-path must shift downward as shown.Alternatively,the downward shift of the saddle-path can be discerned by di®erentiating the policy function(17)with respect to¹.Note that the entire saddle-path is changed as¹changes,as shown in Figure2.The downward jump of C at t=0cannot be accounted for without solving for the entire new equilibrium saddle-path.[Insert Figure2here]For t>0,we see that@g(t)=@¹>0and@h(t)=@¹>0.Thus,following a fall in¹(tightening IPR protection),both g and h fall at each point in time and converge to the new steady state.Figure3illustrates the comparative dynamics on the phase diagram,whereas Figures4and5show the time paths of g and h as IPR is tightened.In this model,the transitional dynamics of(g;h)is monotone,unlike Helpman(1993)in which the transitional adjustment may be non-monotone.[Insert Figures3-5here]We can say more about the impact of changes in¹on the innovation rate_A=A.Starting from(4)and making use of(1)and(3),we can write_A=¡°1g¡°2h+¯3(21)9where¯3´(L=¯)®2®=(1¡®)(1¡®2)>0.Di®erentiating(21)with respect to¹and making use of(18),(19),(20),and(16),it can be shown that@ (_A)=H(t)¡1<0;where(22)H(t)´¡@g¤@¹"°1¸°2¡¸#e¸t<0Clearly,H(t)"0as t!+1.This implies that there will be an initial over-shooting of the innovation rate_A=A as¹is lowered(IPR protection is tightened).As t increases, @(_A=A)=@¹gradually approaches the long run value¡1=µ=@°c=@¹.Figure6depicts the dynamic adjustment path of the innovation rate in response to tightened IPR protection. The economy starts out at a steady state at which the innovation rate is equal to°c(¹),given a certain level of IPR protection corresponding to¹.The new,tightened IPR protection level(with the corresponding¹0<¹)implies a higher steady state growth rate°c(¹0)=°c(¹)+1=µ.The innovation rate initially overshoots by the amount j H(0)j and then gradually converges to the new steady state growth rate.[Insert Figure6here]2.3Tightening IPR Protection|Current Loss vs.Future GainTightening IPR protection will induce an immediate loss of current consumption arising from the expansion of the R&D sector,but a gain in future consumption as a result of more investment in R&D,which induces faster innovation and faster growth.More precisely, there will be a downward level shift of the entire consumption path,but the path will become steeper as a result of faster growth.We have already seen the consumption level shift in Figure2,because h´C=(¯A)is nothing but a scaled and normalized version of consumption C.To see more clearly the tradeo®between current and future consumption, let us¯nd out the equilibrium consumption path.The consumer optimality condition(7) requires that equilibrium consumption grows at the rate°c[¹]=(r m¡¹¡½)=µwhichdepends negatively on¹:C(t)=C(0)exp(°c[¹]t).Rewrite h(t)as h[t;¹]to emphasize its dependence on¹,by de¯nition of h,we can write the equilibrium consumption path as C(t)=¯A(0)h[0;¹]exp(°c[¹]t).Taking logarithm and di®erentiating with respect to¹,we have@lnC(t)@¹=1h(0)@h[0;¹]@¹+@°c[¹]@¹¢t(23) 10The¯rst term on the right hand side of(23)measures the extent of the consumption level shift at t=0,where@h[0;¹]=@¹>0is given by(20)above.Such a level shift in the consumption path signi¯es the loss in current consumption from tightening IPR protection. Since@°c[¹]=@¹=¡1=µ,the second term on the right hand side of(23)measures the steepening of the consumption path,which represents the gain in consumption growth from tightening IPR protection.Figure7displays the time path of C(t)before and after a tightening of IPR protection is announced.[Insert Figure7here]Unlike the innovation rate which exhibits overshooting behavior,the consumption growth rate has no transitional dynamics.Along the transitional path,the fraction of sectors that have competitive pricing is falling,reducing the quantity of goods demanded,and releasing resources for innovation.And yet these adjustments take place while insulating consumption growth from their e®ects.This somewhat peculiar feature of the model stems from speci¯c functional forms employed(e.g.the Dixit-Stiglitz expanding variety form(1))and the very simple imitation technology(2)which features a constant hazard rate¹:The no arbitrage condition(5)pins down the real interest rate r as the di®erence between the constant rate of return to innovation r m=(L=¯)®2=(1¡®)(1=®¡1)and the constant hazard rate¹.A constant real interest rate in turn implies,via the Ramsey optimal consumption rule(7),a constant rate of consumption growth without transitional dynamics.Transitional dynamics in consumption growth exists if we specify a more sophisti¯cated imitation technology that features a time-varying hazard rate.Following a suggestion in Helpman(1993,footnotes5), we have experimented with an imitation function of the form_A c=¹AÁc(A¡A c)1¡Á;0<Á<1;which features a time-varying harzard rate_A c=(A¡A c)=¹[A c=(A¡A c)]Á.Other than generating transitional dynamics in consumption growth and signi¯cantly complicating the analytical derivations,using this more general imitation function does not change the results in this paper in any major way.The results with such a function are reported by the authors elsewhere.It may appear that,since the new steady state growth rate is attained immediately,it is straightforward to calculate the welfare and therefore the optimal IPR analytically.This is not the case because the loss in current consumption,namely the one-shot fall in C(0),cannot be obtained unless the entire new saddle-path is calculated,which can be done exactly only by numerical method.11。

Utility Boiler Systems Manual

Utility Boiler Systems Manual

Operating Manuals(OPERATING MANUALS )BOILER SYSTEMS1.0 PURPOSETwo utility boilers are designed to supply 125,000 lbs/hr each of superheated steam to maintain the Super High Pressure Steam Header at 1500 psig. They are to be primarily used during startup when insufficient steam is being produced to provide additional steam makeup to the 1500 psig steam header for steam requirements for the Compressors, and to supply additional steam any time there is an imbalance in the steam header and when more steam is needed in the system.Operating Manuals(OPERATING MANUALS )2.0 SAFETY AND ENVIRONMENTAL CONSIDERATIONSThe greatest hazard in the boiler feed water and boiler areas is the potential for “fuel related” explosions. To minimize this potential a complete burner management system controls the purge and light off of the boilers but it is still essential that the operator verifies before light off that all fuel valves are closed to the boiler and that the FD fan is operating giving sufficient purge to the boiler. Even with an automated purge system in place, always wait an extra few minutes before requesting a purge after a shutdown as the single biggest cause of explosions is flammable material in the firebox during light off.Since the unit consists of several pieces of rotating equipment be sure to maintain a safe distance from mechanical linkages and rotating parts while equipment is in operation.Personnel should always guard against burns in the boiler areas from the many hot items of equipment and piping even though personnel protective insulation is provided in most areas. Even with insulation, some of the boiler walls may be above 150o F and during operation some of the insulation may have been removed for maintenance..Operating Manuals(OPERATING MANUALS )3.0. GENERAL PROCESS OVERVIEW3.1 BOILER FEEDWATER PROCESS FLOWSThe Boiler Feed Water System area consists of the Deaerator, Boiler Feed Water pumps and the Chemical Injection Systems. Demineralized Water flows from the Demineralized Water Storage Tank to the Deaerator Stripper Section of the Deaerator Tank.Treated Low Pressure Condensate enters the stripper section from Condensate Activated Carbon Filter and Condensate Mixed Bed Polisher System. Here the water is steam stripped with low pressure steam to remove oxygen, and chemicals added to treat the water before use in the plant. Non-condensibles accumulated in the Deaerator are vented through an atmospheric vent pipe located on the top of the stripper section . Boiler Feed Water Pump is provided to pump the Boiler Feed Water to various users via high (1500 psig) and medium(950 psig) pressured headers.The Deaerator removes dissolved gases from the BFW to supply BFW to the two utility boilers, furnace steam drums, desuperheaters and process users. Demineralized Water from Demineralized Water Storage Tank is pumped by the BFW Makeup Pump and preheated by the Boiler Blow Down Cooler, before being fed to the stripper section of the Deaerator. Low pressure steam from the distribution header is introduced to the stripper section under pressure control to steam strip out the oxygen and dissolved gases in the BFW.A low low level activated by will shut down the Boiler Feed Water Pump on line to conserve the level in the Deaerator tank to prevent pump cavitation. Amine from pump isOperating Manuals(OPERATING MANUALS )injected into the BFW Pump suction piping to control corrosion in the condensate systems.An O2 scavenger chemical from a pump is injected into the Deaerator to remove any free oxygen remaining after steam stripping of the BFW. Analyzers have been provided to indicate the level of conductivity and pH of the BFW. The treated BFW is then pumped by the BFW pumps to the high and medium pressure BFW headers. Boiler Feed Water Pump, is driven by a steam turbine. The steam turbine uses high pressuresteam(1500 psig) and exhausts low pressure steam(50 psig) to the low pressure steam header.Each BFW pump has an Automatic Recirculation Control Valve. This valve is designed to function as a check valve and a minimum flow valve. The main flow passing through the guided check valve, overcomes the spring force by lifting the complete Disc-Piston assembly which in turn reduces the recirculation flow back to the Deaerator. A reduction in the main flow, lowers the Disc-Piston assembly, increasing the recirculation flow, thus maintaining the minimum specified flow through the pump. Each BFW pump is provided with a pump case warm up line to maintain the selected spare pump in a standby condition.The electric motor driven pumps are provided with local hand, off, automatic (HOA) function switch. Both of the electric motor driven pumps and the turbine driven pump are designed to shut down on low low level in the Deaerator and startup on indication of low low header pressure. This function is only applicable if the HOA switch on the pump is in the automatic mode. The BFW pump is a two stage pump; the first stage supplies 950 psig discharge and the second stage supplies BFW at 1500 psig.Operating Manuals(OPERATING MANUALS )Chemical Injection Package, has been provided to supply Amine, an O2 scavenger, and Phosphate chemicals to treat the BFW and is made up of the following equipment: • Amine Mixing Tank & pump• Hydrazine Mixing Tank & pump• Phosphate Mixing Tank, Phosphate Tank Mixer,and Phosphate Dosing PumpAmine is pumped from the tank using the Amine Dosing Pumps, to the suction piping of the BFW Pumps, to control the pH of the BFW. The Amine Mixing Tank is inventoried with Amine and Demineralized Water to achieve the desired concentration (determined by the vendor) before the Amine is introduced into the BFW.An O2 scavenger is pumped from the tank, using the Dosing Pump, to the outlet line of Deaerator Stripper, to scavenge O2 in the BFW. The Mixing Tank is inventoried with an O2 scavenger and Demineralized Water to achieve the desired concentration (determined by the vendor) before the O2 scavenger is introduced into the Deaerator Stripper. Phosphate is pumped from to the Boiler using the Phosphate Dosing Pumps. Phosphate is used to increase the suspension of solids to later be removed through blow down. The Phosphate Mixing Tank is inventoried with Phosphate and Demineralized Water and mixed a Mixer, before the Phosphate is introduced into the boilers. Phosphate is injected into the BFW header but not into the desuperheater BFW line. Phosphate works well in the water side of the steam drums but should never be allowed to get into any steam lines because the phosphate does not vaporize and will cause damage to the super heater sections and any carryover in the steam headers can damage steam turbines.Operating Manuals(OPERATING MANUALS )Design DataNORMAL OPERATING CONDITIONSDeaeratorPressure (design) 10 PSIGTemperature (design) 250 degrees F Deaerator StripperPressure (design) 10 PSIGTemperature (design) 250 degrees F Boiler Feed Water PumpRated Capacity 700 GPMHigh Header P(psig) 1500Medium Header P(psig) 950Amine Dosing PumpsDischarge Pressure 70 PSIGRated Capacity 2.0 GPH O2 scavenger (Hydrazine) Dosing PumpDischarge Pressure 70 PSIGRated Capacity 1.0 GPH Phosphate Dosing PumpDischarge Pressure 2000 PSIGOperating Manuals(OPERATING MANUALS )Rated Capacity 1.0 GPHOperating Manuals(OPERATING MANUALS )3.2 BOILER SYSTEM PROCESS FLOWS1500 PSIG steam is generated by two Boilers. Each boiler is rated at 125,000 Lbs/hr. giving a total capacity of 250,000 lbs/Hr. The boilers are fired using Fuel Gas from the plant fuel gas header. There are two separate high and low pressure blow down vessels provided for the boiler, continuous and intermittent blow downs. The blow down from the continuous drum is flashed to recover steam with the condensate from this drum supplying condensate to the caustic tower’s water wash section.The Utility boilers are provided to makeup any shortage in super high pressure steam required by the compressor turbine to maintain the process pressure requirements of the compressor, and temperature requirements for other process needs.The steam drum maintains a constant level with makeup of Boiler Feedwater at 230o F from the Boiler Feed water Pumps. Before entering the steam drum, the boiler feedwater is heated as it passes through the economizer to recover heat from the flue gas.The 1500 psig saturated steam at 600o F exiting the steam drum is then “superheated” in the superheater section. To maintain an exiting steam temperature of 950o F, additional boiler feedwater is added on temperature control to desuperheat the steam to the required superheated steam temperature.Heat is supplied to the boiler from the combustion of fuel gas. This fuel gas is obtained from the plant fuel gas header which is made up of hydrogen, methane, etc. Fuel gas flow to the boiler is controlled by the BTU value of the fuel gas to each boiler to maintainOperating Manuals(OPERATING MANUALS )desired steam production and also to maintain an oxygen level in the stack to prevent excessive fuel consumption.A Forced Draft Fan supplies combustion air to each boiler. The fan has both turbine and motor driven. If the turbine fails for any reason and is not able to maintain a level of rpm’s, the motor takes over to maintain the fan speed. The suction to the fan consists of fresh air and also recirculated flue gas from the flue gas duct. The flue gas recirculation stream is on flow control and is utilized to reduce the Nox emissions in the stack. Flow of air to the Fan is controlled by an inlet vane actuator which opens or closes as needed to add or reduce air, respectively.The conductivity analyzer signal on the continuous blow down stream from the steam drum is sent to the DCS for monitoring. High conductivity in this stream indicates that the blow down needs to be manually increased as the system is “cycling up” usually because of increased steam production.There are two flame scanners on each boiler to verify flame in the firebox. It takes the loss of both to shut the boiler down. The burner management system utilizes the scanners to ensure that there is fire in the firebox. If there is no fire in the firebox after an allotted time, the system will shut down and require a repurge.In the event of a sudden increase in the 1500 psig steam header pressure if the SHP steam header can not respond quickly enough to reduce the boiler load pressure, there is a pressure controller that will open up to vent any excess 1500 psig steam pressure to atmosphere until the system pressure is stabilized. As the Master pressure control takes over and the header pressure returns to its set point the vent valve will close.Operating Manuals(OPERATING MANUALS )Phosphate is injected directly into the Water Drum or “Mud Drum” of the Boiler. The on stream conductivity analysis and laboratory analysis of the boiler blow down flows, is the basis for the amount of chemical injection and the amount of blow down needed to maintain the quality of the boiler feed water.The chemical injection is needed because of the hardness in the water coming from the inlet water stream and also iron and copper corrosion products returning with the condensate. They must be controlled to inhibit deposit formation on heat transfer surfaces and to prevent tube failures, which is why normally a coordinated phosphate program is used to prevent this from occurring. Conductivity is a good indication of the cycles in the boiler but samples must always be used to verify the silica and hardness levels in the steam drum as these are the constituents that must be kept at a minimum to ensure minimal loss of heat transfer in the boiler tubes.As feed water hardness enters the Boiler Steam Drum, insoluble hardness sludge is produced. This sludge must be conditioned to prevent deposition before the boiler circulation carries it to the boiler’s high heat zones. Phosphate reacts with calcium and magnesium to form precipitates; which are still relatively adherent to boiler metal surfaces, particularly under high heat transfer conditions. These precipitates must be removed by blow down through the continuous blow down line and the intermittent blow down line. The intermittent blow down is used to purge solids that will collect in low spots.。

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Please cite as: CHEMIK 2014, 68, 5, 486–493
Introduction Various types of protective coatings are used to protect the surface of the functional elements from weather or aggressive environment. Damaged or worn old protective coating must be removed before putting a new layer. Removal paint coating is also necessary to remove the effect of vandalism (graffiti). Mechanical, thermal, chemical [1] or biochemical methods are used to remove the protective coating. Mechanical methods include: manual brushing, hammering, removal by scraping, abrasive blasting and high pressure water cleaning. So far, a significant advantage of these methods was no need for use complicated equipment. Exacerbation safety regulations and environmental protection forces introduction dust-free blasting methods, which essentiallyods and increases the cost of application. Currently mechanical methods are used only for elements to which are easily accessible. The biggest disadvantage of these methods is rapid deterioration of cleaned items. Many countries depart from classical method of sandblasting (due to the ecological aspect) and it is replaced by cleaning with a jet of water under pressure. Depending on used water pressure following methods are distinguished [2]: • Low-Pressure Water Cleaning – pressure under 34MPa – this method can be used only to remove loose coatings • High-Pressure Water Cleaning – water pressure from 34 to 70 MPa – this method can be used to remove coatings with a standard adhesion to the substrate, • High-Pressure Water Jetting – water pressure from 70 to 170 MPa – this method can be used to remove coatings with a high adhesion and special coating, • Ultra High-Pressure Water Jetting – water pressure above 170 MPa Unfortunately, this technique has limitations and can’t be used in all cases cleaning painted elements before re-painting. Thermal methods consist of burning protective layer in molten salts, burning in furnaces with or without the afterburner gases and burning in a fluidized bed. Process is carried out in two stages. In first stage process is carried out at a temperature from 350 to 450°C (treatment chamber), in second stage at a temperature from 850 to 920°C (combustion chamber). This method is allocated to remove paints, varnishes, and plastics from small, badly painted metal part [3]. Chemical methods consist of cleaning elements in alkaline solutions, acidic solutions or in organic solvent. The leaching is carried out at a temperature of 60–80°C. Currently this method is rarely used because in most cases it is only softening the coating, not its removal. As a result, there are problems with complete cleaning the element and with emerging waste. Acidic solutions to removing protective coating are mainly: fluorosulphuric acid and a mixture of concentrated nitric acid, sulphuric acid and chromic anhydride. This method is mainly used to removal old or defective imposed coating with small elements. In this method there is a problem with generated waste.
Corresponding author: Otmar Vogt, Ph.D., (Eng.), e-mail: ozvogt@.pl
Preparations based on organic solvent are the most universal. They contain mixture of organic solvent and substances such as: thickeners, evaporation retardants, emulsifiers, corrosion inhibitors and activators. These preparations function through gradual penetration of the coating, swelling and in the final step wrinkling or gradual dissolution. The most commonly used industrial chemical methods are immersion technique or spray technique in closed chamber. These techniques are often useless when the purifying detail is impossible to remove. Therefore, the gel paint remover methods are the most universal and irreplaceable to remove graffiti or renovation vertical elements which are difficult to dismantling. So far, in view on dissolving power and breakout paint from the ground of methylene chloride most preparations have been using this compound as active ingredient [4–6]. From December 6th 2011 in European Union rules that prohibit use of methylene chloride in this type of application take effect. Nowadays, new paint remover can’t contain more than 0.1% methylene chloride [7]. Biopreparations and biochemical methods are recent developments in the field of paint stripper. In recent years preparations which active ingredients obtain from bio-materials were developed. Their main ingredients are lactic acid esters and fatty acid methyl esters received from trans esterification of soybean oil [8, 9]. Such selection of components allows to ensure easy biodegradation of the preparation and its residues. Biopreparations use microorganisms to distribution breakout coating or enzymes to remove coating from clean surface [10–12]. The process is used to remove paint from steel, galvanized parts, aluminium and its alloys and plastics [11, 12]. In some solutions biopreparations also contain coagulants and flocculants that facilitate separation of solid waste from liquid phase [13]. Paint stripper components The main paint remover component is base solvent. So far DCM (methylene chloride) was an unquestionable leader in this application. Its advantages resulted with similar solubility DCM and the organic resin, fast operating time and relatively low prices, as well as lack of the effect of this substances on ozone layer [1, 4]. New European Union rules [7] caused elimination of DCM and extorted intensive search for another active substitute. In many paint stripper the base solvent is N-methylpyrrolidone (NMP) or compounds of similar structure. NMP is a highly polar solvent, miscible with water, most organic solvents and polymers used for production of paints and varnishes. They work slower than DCM but are less volatile [14–20]. Impact studies of NMP on animals have shown, that NMP is a potentially dangerous substance affecting on the reproductive system and the nervous system of mammals [21, 22]. So there is a good chance that it will share fate of DCM and will be withdrawn from use as well. In present produced preparations role of active ingredients is played by such compounds as benzyl alcohol [23], alkylene carbonates [24], carboxylic acids esters [25–27], cyclic ethers [28] and many others. Important addition to base solvent is co-solvent (e.g. low molecular weight alcohols, ethyl acetate, ethylene glycol).
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