高阶非线性泛函微分方程的强迫振动性(英文)

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振动力学名词中英文对照

发信人: laissez (中正平和), 信区: DeptMech标题: 《振动力学》名词中英文对照发信站: 碧海青天(Tue Dec 12 16:06:09 2000), 转信Dirac delta function delta函数acceleration加速度admittance导纳amplification factor动力放大因子amplitude幅值、振幅amplitude-frequency characteristic幅频特性angular frequency圆频率attenuation vibration衰减振动base motion基础运动bending vibration弯曲振动boundary condition边界条件chaotic vibration混沌振动complementary energy余能complex frequency response function复频响应函数component modal synthesis method模态综合法condition of orthogonality正交性条件conservative system保守系统consistent mass matrix一致（协调）质量阵constraint mode约束模态continuous system连续系统continuum连续体damping coefficient阻尼系数damping ratio阻尼比damping vibration有阻尼振动degree-of-freedom自由度differential equation of motion动力学微分方程direct numerical integration直接积分法discrete system离散系统displacement位移dissipative system耗散系统Duhamel integral杜哈曼积分dynamical matrix动力矩阵dynamical system动力学系统dynamics动力学eigenvalue特征值eigenvector特征向量element单元energy of deformation变形能excitation激励flexibility柔度forced vibration强迫振动foundation基础Fourier transformation傅氏变换free vibration自由振动frequency equation频率方程fundamental frequency基频general coordinate广义坐标general solution通解generalized eigenvalue problem广义特征值问题governing equation控制方程impulse response function脉冲响应函数inertia惯性initial condition初始条件kinetic energy动能logarithmic decrement对数衰减率longitudinal vibration纵向振动lumped mass method集中质量法mass matrix质量矩阵matrix iteration method矩阵迭代法mechanical energy机械能modal matrix振型矩阵mode振型、模态mode function振型函数mode superposition method振型叠加法mode truncation method振型截断法natural frequency固有频率negative damping负刚度node节点normal mode简正振型oscillation振动、振荡period周期phase angle相角phase difference相位差positive definite正定potential energy势能principal mass主质量principal stiffness主刚度principle of superposition迭加原理principle of virtual work虚功原理proportional damping比例阻尼Rayleigh quotient瑞利商reduced mass约化质量resonance共振restoring force恢复力rotation转动shape function形函数shear vibration剪切振动shift frequency method移轴法simple harmonic excitation简谐激励spring-mass system弹簧-质量系统stability稳定性steady-state response稳态响应steady-state solution稳态解stiffness matrix刚度矩阵strain energy应变能structural damping结构阻尼subspace iteration method子空间迭代法system系统torsional vibration扭转振动transient solution瞬态解translation平动transverse vibration横向振动trial function试函数undamped vibration无阻尼振动variation变分velocity速度vibration振动viscous damping粘性阻尼。

流体力学常用名词中英文对照..

流体力学常用名词流体动力学fluid dynamics连续介质力学mechanics of continuous介质medium流体质点fluid particle无粘性流体nonviscous fluid, inviscid连续介质假设continuous medium hypothesis流体运动学fluid kinematics水静力学hydrostatics液体静力学hydrostatics支配方程governing equation伯努利方程Bernoulli equation伯努利定理Bernonlli theorem毕奥—萨伐尔定律Biot—Savart law欧拉方程Euler equation亥姆霍兹定理Helmholtz theorem开尔文定理Kelvin theorem涡片vortex sheet库塔-茹可夫斯基条件Kutta-Zhoukowski condition 布拉休斯解Blasius solution达朗贝尔佯廖d’Alembert paradox雷诺数Reynolds number施特鲁哈尔数Strouhal number随体导数material derivative不可压缩流体incompressible fluid质量守恒conservation of mass动量守恒conservation of momentum能量守恒conservation of energy动量方程momentum equation能量方程energy equation控制体积control volume液体静压hydrostatic pressure涡量拟能enstrophy压差differential pressure流[动］flow流线stream line流面stream surface流管stream tube迹线path，path line流场flow field流态flow regime流动参量flow parameter流量flow rate，flow discharge涡旋vortex涡量vorticity涡丝vortex filament涡线vortex line涡面vortex surface涡层vortex layer涡环vortex ring涡对vortex pair涡管vortex tube涡街vortex street卡门涡街Karman vortex street马蹄涡horseshoe vortex对流涡胞convective cell卷筒涡胞roll cell涡eddy涡粘性eddy viscosity环流circulation环量circulation速度环量velocity circulation偶极子doublet, dipole驻点stagnation point总压［力] total pressure总压头total head静压头static head总焓total enthalpy能量输运energy transport速度剖面velocity profile库埃特流Couette flow单相流single phase flow单组份流single-component flow均匀流uniform flow非均匀流nonuniform flow二维流two-dimensional flow三维流three-dimensional flow准定常流quasi—steady flow非定常流unsteady flow, non—steady flow 暂态流transient flow周期流periodic flow振荡流oscillatory flow分层流stratified flow无旋流irrotational flow有旋流rotational flow轴对称流axisymmetric flow不可压缩性incompressibility不可压缩流[动] incompressible flow浮体floating body定倾中心metacenter阻力drag, resistance减阻drag reduction表面力surface force表面张力surface tension毛细[管］作用capillarity来流incoming flow自由流free stream自由流线free stream line外流external flow进口entrance, inlet出口exit，outlet扰动disturbance, perturbation分布distribution传播propagation色散dispersion弥散dispersion附加质量added mass ,associated mass收缩contraction镜象法image method无量纲参数dimensionless parameter几何相似geometric similarity运动相似kinematic similarity动力相似［性］dynamic similarity平面流plane flow势potential势流potential flow速度势velocity potential复势complex potential复速度complex velocity流函数stream function源source汇sink速度［水]头velocity head拐角流corner flow空泡流cavity flow超空泡supercavity超空泡流supercavity flow空气动力学aerodynamics低速空气动力学low—speed aerodynamics 高速空气动力学high-speed aerodynamics 气动热力学aerothermodynamics亚声速流［动] subsonic flow跨声速流［动］transonic flow超声速流[动] supersonic flow锥形流conical flow楔流wedge flow叶栅流cascade flow非平衡流[动］non—equilibrium flow 细长体slender body细长度slenderness钝头体bluff body钝体blunt body翼型airfoil翼弦chord薄翼理论thin-airfoil theory构型configuration后缘trailing edge迎角angle of attack失速stall脱体激波detached shock wave波阻wave drag诱导阻力induced drag诱导速度induced velocity临界雷诺数critical Reynolds number 前缘涡leading edge vortex附着涡bound vortex约束涡confined vortex气动中心aerodynamic center气动力aerodynamic force气动噪声aerodynamic noise气动加热aerodynamic heating离解dissociation地面效应ground effect气体动力学gas dynamics稀疏波rarefaction wave热状态方程thermal equation of state 喷管Nozzle普朗特-迈耶流Prandtl—Meyer flow 瑞利流Rayleigh flow可压缩流[动］compressible flow可压缩流体compressible fluid绝热流adiabatic flow非绝热流diabatic flow未扰动流undisturbed flow等熵流isentropic flow匀熵流homoentropic flow兰金—于戈尼奥条件Rankine-Hugoniot condition 状态方程equation of state量热状态方程caloric equation of state完全气体perfect gas拉瓦尔喷管Laval nozzle马赫角Mach angle马赫锥Mach cone马赫线Mach line马赫数Mach number马赫波Mach wave当地马赫数local Mach number冲击波shock wave激波shock wave正激波normal shock wave斜激波oblique shock wave头波bow wave附体激波attached shock wave激波阵面shock front激波层shock layer压缩波compression wave反射reflection折射refraction散射scattering衍射diffraction绕射diffraction出口压力exit pressure超压［强］over pressure反压back pressure爆炸explosion爆轰detonation缓燃deflagration水动力学hydrodynamics液体动力学hydrodynamics泰勒不稳定性Taylor instability盖斯特纳波Gerstner wave斯托克斯波Stokes wave瑞利数Rayleigh number自由面free surface波速wave speed，wave velocity波高wave height波列wave train波群wave group波能wave energy表面波surface wave表面张力波capillary wave规则波regular wave不规则波irregular wave浅水波shallow water wave深水波deep water wave重力波gravity wave椭圆余弦波cnoidal wave潮波tidal wave涌波surge wave破碎波breaking wave船波ship wave非线性波nonlinear wave孤立子soliton水动[力]噪声hydrodynamic noise水击water hammer空化cavitation空化数cavitation number空蚀cavitation damage超空化流supercavitating flow水翼hydrofoil水力学hydraulics洪水波flood wave涟漪ripple消能energy dissipation海洋水动力学marine hydrodynamics 谢齐公式Chezy formula欧拉数Euler number弗劳德数Froude number水力半径hydraulic radius水力坡度hvdraulic slope高度水头elevating head水头损失head loss水位water level水跃hydraulic jump含水层aquifer排水drainage排放量discharge壅水曲线back water curve压［强水]头pressure head过水断面flow cross-section明槽流open channel flow孔流orifice flow无压流free surface flow有压流pressure flow缓流subcritical flow急流supercritical flow渐变流gradually varied flow急变流rapidly varied flow临界流critical flow异重流density current，gravity flow堰流weir flow掺气流aerated flow含沙流sediment-laden stream降水曲线dropdown curve沉积物sediment，deposit沉［降堆]积sedimentation, deposition沉降速度settling velocity流动稳定性flow stability不稳定性instability奥尔—索末菲方程Orr—Sommerfeld equation 涡量方程vorticity equation泊肃叶流Poiseuille flow奥辛流Oseen flow剪切流shear flow粘性流［动］viscous flow层流laminar flow分离流separated flow二次流secondary flow近场流near field flow远场流far field flow滞止流stagnation flow尾流wake [flow］回流back flow反流reverse flow射流jet自由射流free jet管流pipe flow，tube flow内流internal flow拟序结构coherent structure猝发过程bursting process表观粘度apparent viscosity运动粘性kinematic viscosity动力粘性dynamic viscosity泊poise厘泊centipoise厘沱centistoke剪切层shear layer次层sublayer流动分离flow separation层流分离laminar separation湍流分离turbulent separation分离点separation point附着点attachment point再附reattachment再层流化relaminarization起动涡starting vortex驻涡standing vortex涡旋破碎vortex breakdown涡旋脱落vortex shedding压[力]降pressure drop压差阻力pressure drag压力能pressure energy型阻profile drag滑移速度slip velocity无滑移条件non—slip condition壁剪应力skin friction, frictional drag壁剪切速度friction velocity磨擦损失friction loss磨擦因子friction factor耗散dissipation滞后lag相似性解similar solution局域相似local similarity气体润滑gas lubrication液体动力润滑hydrodynamic lubrication浆体slurry泰勒数Taylor number纳维-斯托克斯方程Navier—Stokes equation 牛顿流体Newtonian fluid边界层理论boundary later theory边界层方程boundary layer equation边界层boundary layer附面层boundary layer层流边界层laminar boundary layer湍流边界层turbulent boundary layer温度边界层thermal boundary layer边界层转捩boundary layer transition边界层分离boundary layer separation边界层厚度boundary layer thickness位移厚度displacement thickness动量厚度momentum thickness能量厚度energy thickness焓厚度enthalpy thickness注入injection吸出suction泰勒涡Taylor vortex速度亏损律velocity defect law形状因子shape factor测速法anemometry粘度测定法visco［si］metry流动显示flow visualization油烟显示oil smoke visualization孔板流量计orifice meter频率响应frequency response油膜显示oil film visualization阴影法shadow method纹影法schlieren method烟丝法smoke wire method丝线法tuft method 说明氢泡法nydrogen bubble method相似理论similarity theory相似律similarity law部分相似partial similarity定理pi theorem, Buckingham theorem静［态]校准static calibration动态校准dynamic calibration风洞wind tunnel激波管shock tube激波管风洞shock tube wind tunnel水洞water tunnel拖曳水池towing tank旋臂水池rotating arm basin扩散段diffuser测压孔pressure tap皮托管pitot tube普雷斯顿管preston tube斯坦顿管Stanton tube文丘里管Venturi tubeU形管U—tube压强计manometer微压计micromanometer多管压强计multiple manometer静压管static [pressure］tube流速计anemometer风速管Pitot— static tube激光多普勒测速计laser Doppler anemometer,laser Doppler velocimeter热线流速计hot—wire anemometer热膜流速计hot— film anemometer流量计flow meter粘度计visco［si］meter涡量计vorticity meter传感器transducer，sensor压强传感器pressure transducer热敏电阻thermistor示踪物tracer时间线time line脉线streak line尺度效应scale effect壁效应wall effect堵塞blockage堵寒效应blockage effect动态响应dynamic response响应频率response frequency底压base pressure菲克定律Fick law巴塞特力Basset force埃克特数Eckert number格拉斯霍夫数Grashof number努塞特数Nusselt number普朗特数prandtl number雷诺比拟Reynolds analogy施密特数schmidt number斯坦顿数Stanton number对流convection自由对流natural convection，free convec-tion 强迫对流forced convection热对流heat convection质量传递mass transfer传质系数mass transfer coefficient热量传递heat transfer传热系数heat transfer coefficient对流传热convective heat transfer辐射传热radiative heat transfer动量交换momentum transfer能量传递energy transfer传导conduction热传导conductive heat transfer热交换heat exchange临界热通量critical heat flux浓度concentration扩散diffusion扩散性diffusivity扩散率diffusivity扩散速度diffusion velocity分子扩散molecular diffusion沸腾boiling蒸发evaporation气化gasification凝结condensation成核nucleation计算流体力学computational fluid mechanics多重尺度问题multiple scale problem伯格斯方程Burgers equation对流扩散方程convection diffusion equationKDU方程KDV equation修正微分方程modified differential equation拉克斯等价定理Lax equivalence theorem数值模拟numerical simulation大涡模拟large eddy simulation数值粘性numerical viscosity非线性不稳定性nonlinear instability希尔特稳定性分析Hirt stability analysis相容条件consistency conditionCFL条件Courant- Friedrichs- Lewy condition ,CFL condition 狄里克雷边界条件Dirichlet boundary condition熵条件entropy condition远场边界条件far field boundary condition流入边界条件inflow boundary condition无反射边界条件nonreflecting boundary condition数值边界条件numerical boundary condition流出边界条件outflow boundary condition冯。

机械工程学专业词汇英语翻译(M)

maccormack scheme 麦科马克格式mach angle 马蒜角mach cone 马蒜锥；马赫锥mach criterion 马赫判据mach disk 马赫盘mach fringe 马赫条纹mach line 马赫线mach net 马赫网mach number 马赫数mach pendulum 马赫摆mach principle 马赫原理mach quadrangle 马赫四角形mach reflection 马赫反射mach scale law 马赫相似律mach wave 马蒜波mach wave machine 马赫波发生器mache 马谢machine 机械machine time 机票间machmeter 马赫数表macro brownian movement 宏观布朗运动macro fluid 宏观铃macrocrack 宏观裂缝macrodynamics 宏观动力学macrographic test 宏观组织检验macrohardness 宏观硬度macromechanics 宏观力学macromixing 宏观混合macromolecule 大分子macrorheology 宏观龄学macroscopic 宏观的macroscopic state 宏观状态macroseismic phenomenon 强震现象macroseisms 强震macrostate 宏观状态macrostructure 宏观结构macroturbulence 宏观湍流macroviscosity 宏观粘性magnesyn 磁自动同步机magnetic convection effect 磁传输效应magnetic diffusion 磁扩散magnetic energy 磁能magnetic field 磁场magnetic flux 磁通量magnetic force 磁力magnetic friction 磁摩擦magnetic hardness coefficient 磁硬度系数magnetic inertia 磁惯性magnetic knudsen number 磁克努曾数magnetic line of force 磁力线magnetic mach number 磁马赫数magnetic moment 磁矩magnetic plasma 磁等离子体magnetic potential 磁位magnetic prandtl number 磁普朗特数magnetic pressure 磁压强magnetic resonance absorption 磁共振吸收magnetic resonance frequency 磁共振频率magnetic reynolds number 磁雷诺数magnetic stress tensor 磁应力张量magnetic surface 磁面magnetic tension 磁张力magnetic transformation 磁性转变magnetic viscosity 磁粘性magnetized plasma 磁化等离子体magnetizing force 磁化力magnetoaerodynamics 磁性空气动力学magnetocaloric effect 磁热效应magnetodynamics 磁动力学magnetoelastic anisotropy 磁弹性蛤异性magnetoelastic constant 磁弹性常数magnetoelastic effect 磁弹性效应magnetoelastic energy 磁弹性能magnetoelastic field 磁弹性场magnetoelastic hysteresis 磁弹性滞后magnetoelastic wave 磁弹性波magnetofluiddynamics 磁铃动力学magnetogasdynamics 磁气体动力学magnetohydrodynamic 磁铃动力学的magnetohydrodynamic approximation 磁铃动力学近似magnetohydrodynamic conversion 磁铃动力学转换magnetohydrodynamic dynamo 磁铃发电机magnetohydrodynamic equations 磁铃力学方程magnetohydrodynamic generator 磁铃发电机magnetohydrodynamic instability 磁铃动力学不稳定性magnetohydrodynamic shock wave 磁铃动力激波magnetohydrodynamic turbulence 磁铃动力湍流magnetohydrodynamic wake 磁铃动力尾迹magnetohydrodynamic wave 磁铃动力波magnetohydrodynamics 磁铃动力学magnetohydrostatic 磁铃静力学的magnetomechanical 磁力学的magnetomechanical factor 磁力学因数magnetomotive force 起磁力magnetoplasma 磁等离子体magnetoplasmadynamics 磁等离子体动力学magnetosonic wave 磁声波magnetosphere 磁层magnetostatic energy 静磁能magnetostatic energy density 静磁能量密度magnetostatic oscillation 静磁振荡magnetostatic stress tensor 静磁应力张量magnetostatic unit 静磁单位magnetostriction 磁致伸缩magnetostriction oscillator 磁致伸缩振荡器magnetostrictive senser 磁致伸缩传感器magnetostrictive strain 磁致伸缩应变magnetostrictive stress 磁致伸缩应力magnetothermal effect 磁热效应magnetoviscous 磁粘性的magnification 放大率magnitude 大小magnitude of angular velocity 角速度值magnus effect 马格努斯效应magnus force 马格努斯力magnus formula 马格努斯公式main axis of dilatation 膨胀轴main axis of expansion 膨胀轴main bar 拄main flow 主main foundation 基板main motion 炙动main pipe 周main shaft 轴main stream 主干流main tide 直main water table 潜水面major cycle 大循环man carrying rocket 载人火箭man made satellite 人造卫星maneuver 机动飞行maneuverability 机动性maneuvering 机动manifold 分淋manned rocket 载人火箭manning formula 曼宁公式manograph 压力记录仪manometer 压力计manometer head 液压计示压头manometer pressure 压力计压力manometric balance 压力秤manometric flame 感压焰manual 手动的many body force 多体力many body problem 多体问题many degrees of freedom system 多自由度系统many level resonance formula 多能级共振公式many particle force 多粒子力mapping 映射marangoni effect 马朗戈尼效应marangoni gibbs effect 马朗戈尼吉布斯效应margin 限界margin of error 误差界限margin of safety 安全系数marginal force 边缘力marking 标示markoff distribution 马尔科夫分布markoff process 马尔科夫过程marzetti plasticity 马泽蒂塑性mask 掩模mass 质量mass absorption coefficient 质量吸收系数mass action 质量酌mass action constant 质量酌常数mass action law 质量酌定律mass attenuation coefficient 质量衰减系数mass balance 质量平衡mass center 质心mass center integral 质心积分mass concentration 质量浓度mass conductivity coefficient 传质系数mass conservation law 质量守恒定律mass decrement 质量减量mass density 比质量mass distribution 质量分布mass energy relation 质能关系mass energy transfer coefficient 质能转移系数mass flow 质量流mass flow rate 质量潦mass flow ratio 质量量比mass flow velocity 质量临mass flux 质量量mass force 质量力mass inertia 质量惯性mass matrix 质量矩阵mass mean diameter 质量平均径mass moment 质量矩mass moment of inertia 质量惯性矩mass motion 地块运动mass of system 系统质量mass point 质点mass point mechanics 质点力学mass ratio 质量比mass separation 质量分离mass tensor 质量张量mass to thrust ratio 质量推力比mass transfer 传质mass transfer coefficient 传质系数mass transfer rate 传质速率mass velocity 质量速度mass velocity relation 质量速度关系mast 帆柱master pulse 嘱冲material 物质material acceleration 物质加速度material balance 物质平衡material constant 材料常数material continuity equation 物质连续性方程material coordinates 物质坐标material curve 物质曲线material derivative 物质导数material discontinuity 物质不连续性material field 物质场material flow 物质流material line 物质线material nonlinearity 材料非线性material point 质点material reference frame 物质参考系material surface 物质表面material testing machine 材料试验机material testing reactor 材料试验反应堆material transfer 物质转移material transmitting pressure only 单纯传压材料material transmitting traction only 单纯传拉材料material viscoelasticity 材料粘弹性materialization 质化materials science 材料科学materials testing 材料试验mathematical model 数学模型mathematical pendulum 单摆mathematical similarity 数学相似mathematical simulation 数学模拟mathieu equation 马提厄方程mathieu function 马提厄函数matrices of composite material 复合材料基体matrix 矩阵matrix calculation 矩阵计算matrix element 矩阵元matrix mechanics 矩阵力学matrix of the coefficients 系数矩阵matrix structural analysis 矩阵法结构分析matter 物质matter constant 材料常数matter tensor 物质张量maupertuis principle 莫佩提原理maximum 最大maximum deflection 最大挠度maximum deviation 最大偏差maximum discharge 最大量maximum freezing point 最高凝固点maximum height 最大高度maximum intensity of shear 最大切应力maximum limit of size 最大极限尺寸maximum load 最大负载maximum moment 最大力矩maximum normal stress 最大法向应力maximum output 最大输出功率maximum overpressure 最大过压maximum permeability 最大磁导率maximum permissible unbalance 最大容许不平衡maximum phase angle deviation 最大相角偏差maximum pressure 最大压力maximum principal deformation 最大咒形maximum principal stress theory 最大枝力理论maximum principle 极大值原理maximum range 最大射程maximum shear stress 最大切应力maximum speed 最大速度maximum strain energy theory 最大应变能理论maximum stress 最大应力maximum stress theory 最大应力理论maximum stretching strain 最大伸长应变maximum tensile stress 最大拉伸应力maximum thrust 最大推力maximum usable frequency 最高可用频率maximum value 最大值maximum velocity 最大速度maximum with constraints 条件极大maximum work 最大功maximum work principle 最大功原理maxwell body 麦克斯韦体maxwell boltzmann equaion 麦克斯韦玻耳兹曼方程maxwell construction of streamlines 麦克斯韦吝准法maxwell diagram 麦克斯韦力图maxwell energy stress tensor 麦克斯韦能量应力张量maxwell equation 麦克斯韦方程maxwell field 麦克斯韦场maxwell fluid 麦克斯韦铃maxwell formula 麦克斯韦公式maxwell law of viscosity 麦克斯韦粘度定律maxwell liquid 麦克斯韦液体maxwell material 麦克斯韦体maxwell model 麦克斯韦模型maxwell reciprocal theorem 麦克斯韦倒易定理maxwell relaxation equation 麦克斯韦弛豫方程maxwell relaxation model 麦克斯韦弛豫模型maxwell solid 麦克斯韦体maxwell theorem 麦克斯韦定理maxwellian distribution 麦克斯韦分布maxwellian gas 麦克斯韦气体maxwellian relaxation time 麦克斯韦弛豫时间maxwellian stress 麦克斯韦应力mean 平均mean acceleration 平均加速度mean angular motion 平均角运动mean angular velocity 平均角速度mean anomaly 平近点角mean camber of the wing 翼型中线曲度mean collision frequency 平均碰撞频率mean collision time 平均碰撞时间mean deviation 平均偏差mean diameter 平均直径mean diurnal motion 平均周日运动mean effective pressure 平均有效压力mean energy decrement 平均能量减量mean error 平均误差mean free path 平均自由程mean free path for fission 裂变平均自由程mean free time 平均自由时间mean high tide 平均高潮位mean hydraulic depth 平均水力深度mean life 平均寿命mean mass velocity 质心速度mean motion 平均运动mean orbital element 平均轨迹元mean pressure 平均压力mean pulse power 平均脉冲功率mean range 平均射程mean range of tide 平均潮差mean resistance 平均阻力mean speed 平均速度mean speed vector 平均速度矢量mean square 均方mean square deviation 均方差mean square error 均方误差mean temperature 平均温度mean value 平均值mean velocity 平均速度meander 曲流meander pattern 曲两样meandering 迂曲运动measure 测measure of strain 应变量度measured value 实测值measurement 测量measuring 测量measuring apparatus 测量仪器measuring device 测量设备measuring machine 测量机measuring point 测量点measuring pulse 试验脉冲measuring range 测定范围measuring rod 测量杆mechanical action 力学酌mechanical admittance 力导纳mechanical aeration 机械曝气mechanical analogue 机械横拟mechanical analysis of soil 土壤粒度分析mechanical efficiency 力学效率mechanical energy 力学能mechanical equilibrium 力学平衡mechanical equivalent of heat 热功当量mechanical hysteresis 力学滞后mechanical impedance 力学阻抗mechanical kinematics 机械运动学mechanical loss 机械损耗mechanical mass 力学质量mechanical model 力学模型mechanical motion 力学运动mechanical oscillation 力学振荡mechanical oscillator 力学振荡器mechanical passivity 力学钝性mechanical property 力学性质mechanical reactance 力学阻抗mechanical recovery 力学恢复mechanical relaxation 力学弛豫mechanical resistance 力学阻力mechanical similitude 力学相似mechanical strength 机械强度mechanical stress 力学应力mechanical system 力学系mechanical system of units 力学单位制mechanical test 机械试验mechanical turbulence 力学湍流mechanical viscosity 机械粘度mechanical wave resistance 机械波阻mechanical work 力学功mechanically similar 力学相似的mechanics 力学mechanics of explosion 爆炸力学mechanics of granular medium 粒状介质力学mechanics of lung 肺力学mechanics of materials 材料力学mechanics of microcirculation 微循环力学mechanics of rigid body 刚体力学mechanism 机构mechatronics 机电学median line 中线medium 介质medium diameter 中径medium pressure 中等压力mega 兆megacycle 兆赫兹megadynamics 巨动力学megahertz 兆赫兹megawatt 兆瓦melting pressure 熔化压力membrane 膜membrane analogy 薄膜比似membrane element 膜元membrane strain 膜应变membrane stress 薄膜应力membrane theory of shells 壳体薄膜理论membrane valve 隔膜阀membrane wave 薄膜波memory function 记忆函数memory integral 记亿积分meniscus 弯液面meridian 子午线meridian plane 子午面meridian stress 经线应力merrington effect 梅林顿效应mesh 筛孔mesomorphic phase 介晶态mesopause 中间层顶mesosphere 中间层metacenter 定倾中心metacentric height 定倾中心高度metacentric radius 定倾半径metal construction 金属构件metallic material 金属材料metastability 亚稳定性metastable equilibrium 亚稳平衡metastable level 亚稳能级metastable phase 亚稳相metastable state 亚稳态meteorological thermodynamics 气象热力学meteorology 气象学meter 米meter constant 仪表常数metering 计量；测量method 方法method of approximation 近似法method of central differences 中心差分法method of characteristic curves 特者法method of dimensionality analysis 量纲分析method of forces 力的方法method of hydrodynamic images 铃力学镜像法method of joints 结点法method of perturbation 摄动法method of section 断面法method of successive approximation 逐步近似法method of undeterminated coefficients 待定系数法metre 米metric 米制的metric system 公制metric tensor 度量张量mhd couette flow 磁铃动力库埃特怜mhd power generation 磁铃动力发电mhd shock wave 磁铃动力激波micro crystal 微晶体micro fluid 微观铃micro oscillation 微振荡micro strain 微应变microbarograph 微压计microbarometer 微气压计microcavity 微腔microcomputer 微型计算机microconvection 微对流microcrack 微裂纹microcreep 微蠕变microcrystalline structure 微晶结构microdensitometer 微密度计microfissure 微观裂纹micrography 显微照相术microhardness 微硬度microhardness test 微硬度检验microinstability 微观不稳定性microlite 微晶microlith 微晶micromanometer 测微压力计micromechanics 微观力学micrometric displacement 微位移micromixing 微观混合micromotion 微移动micron 微米microscopic analysis 显微分析microscopic crack 微裂纹microscopic hole 微孔microscopic instability 微观不稳定性microsecond 微秒microsection 显微薄片microseisms 微震microslip 微滑移microslip line 微滑移线microstress 微应力microstructure 微结构microvibrograph 微囊仪microviscosimeter 微粘度计microviscosity 微粘度microwave 微波middle course 中心线middle pressure 平均压力middle surface 中面migrating layer 迁移层migration 移动migration energy 迁移能migration length 迁移长度migration loss 迁移损耗miller's indices 密勒指数million 兆millisecond blasting 毫秒爆破millitorr 毫托minimal 最小的minimal curve 极小曲线minimization 极小化minimizing 极小化minimum 最小minimum deviation 最小偏差minimum entropy principle 最小熵原理minimum limit of size 最小极限尺寸minimum loading 最小载荷minimum permissible cross section 最小容许截面minimum phase shift system 最小相移系统minimum potential energy theorem 最小势能定理minimum pressure 最小压力minimum principle 最小原理minimum surface 极小曲面minimum value 最小值minimum work 最小功minor 较小的minute 分minute of time 时分misalignment 位移mises plastic condition 米泽斯塑性条件mises yield condition 米泽斯屈服条件mismatch 失配missile 导弹mist flow 雾状流雾化怜mixed flow 混流mixed flow turbine 混两水轮机mixed fracture 混合断口mixed friction 混合摩擦mixed gas 混合煤气mixed method 混合法mixed product 混合积mixed wave 混合型波mixing 混合mixing coefficient 混合系数mixing energy 混合能mixing layer 混合层mixing length 混合长度mixing work 混合功mixture 混合物mixture of fluid 铃混合物mks system 米千克秒制mobile 可移动的mobile equilibrium 怜平衡mobility 活动性mock up 实体模型modal analysis 模态分析modal combination 振型组合modal superposition 模态叠加mode admittance 模式导纳mode conversion 模式变换mode function 模式函数mode impedance 模式阻抗mode of normal vibrations 正常振动模式mode of vibration 振动模式mode transformation 模式变换model 模型model experiment 模型实验model mechanics 模型力学model of oscillating liquid drop 振荡液滴模型model test 模型实验modelling 模型化modelling of multiphase flow 多相粒拟moderate gale 疾风moderate sea 中浪moderate wind 和风moderation 减速modern control theory 现代控制理论modification 变态modified mathieu function 修正马提厄函数modified rayleigh number 修正瑞利数modulation 灯modulation frequency 灯频率module of plastic strain 塑性应变模量modulus 模数modulus of compressibility 体积弹性横量modulus of compression 压缩模量modulus of deformation 形变模量modulus of elasticity 弹性横量modulus of elasticity for tension 拉伸弹性模量modulus of elasticity of volume 体积弹性模量modulus of inelastic buckling 非弹性屈曲模量modulus of longitudinal elasticity 纵弹性模量modulus of resistance 阻力模数modulus of rupture 裂断模量modulus of the foundation 基础模量modulus of torsion 扭转弹性模量modulus of volume elasticity 体积横量mohr area moment circle 莫尔面积矩圆mohr circle for inertia 莫尔面积矩圆mohr criterion 莫尔准则mohr envelope of rupture 断裂的莫尔包迹mohr land area moment circle 莫尔兰德面积矩圆mohr stress circle 莫尔应力圆mohr's strength theory 莫尔强度理论mohs hardness 莫氏硬度mohs hardness scale 莫氏硬度标moist adiabat 湿绝热线moisture 湿度molecular diffusion 分子扩散molecular dynamics 分子动力学molecular flow 分子怜molecular force 分子力molecular mechanics 分子力学molecular velocity 分子速度molecular vibrations 分子振动molecular viscosity 分子粘度mollification 软化moment 矩moment area 力矩面积moment arm 力矩臂moment at the support 支点弯矩moment coefficient 力矩系数moment diagram 力矩图moment distribution method 力矩分配法moment ellipsoid 惯量椭球moment equation 力矩方程moment method 矩法moment of couple 力偶矩moment of first order 一次矩moment of force 力矩moment of impulse 冲量矩moment of inertia 惯性矩moment of inertia about a line 轴惯性矩moment of momentum 角动量moment of percussion 撞沪矩moment of pivoting friction 枢轴动摩擦力矩moment of resistance 阻抗力矩moment of rolling friction 滚动摩擦力矩moment of rotation 转动力矩moment of rupture 破断力矩moment of sliding friction 滑动摩擦力矩moment problem 矩问题momental ellipse 惯量椭圆momentary force 瞬时力momentary overload 瞬时过载momentary value 瞬时值momentum 动量momentum coefficient 动量系数momentum compaction factor 动量压缩因数momentum conservation 动量守恒momentum conservation law 动量守恒定律momentum deficit thickness 动量损失厚度momentum density 动量密度momentum density tensor 动量密度张量momentum distribution 动量分布momentum ellipse 动量椭圆momentum ellipsoid 动量椭球momentum energy space 动量能量空间momentum equation 动量方程momentum flow tensor 动量僚量momentum flux 动量通量momentum flux tensor 动量僚量momentum integral 动量积分momentum loss thickness 动量损失厚度momentum of system 系统的动量momentum of the impact 碰撞动量momentum screw 动量螺旋momentum space 动量空间momentum spectrum 动量谱momentum sphere 动量球momentum tensor 动量张量momentum transfer 动量转移momentum transfer equation 动量转移方程momentum vector 动量矢量monin obukhov length 莫宁奥布霍夫长度monoatomic gas 单原子气体monochromatic source 单色光源monocoque 硬壳式结构monocrystal 单晶monophase action potential 单相酌势monophase system 单相系monoplane 单翼机monopropellant 单元推进剂monte carlo method 蒙特卡罗法moody diagram 穆迪图moon rocket 月球火箭moon's gravity acceleration 月球引力加速度mooney plasticity 穆尼塑性mooney viscosity 穆尼粘度morison formula 莫里森公式morse equation 莫尔斯方程morse function 莫尔斯函数morse potential function 莫尔斯势函数mosaic structure 嵌镶构造most probable value 最可几值motion 运动motion decomposition 运动分解motion equation 运动方程motion in a straight line 直线运动motion of center of mass 质心运动motional impedance 动阻抗motionless satellite 同步卫星motive force 起动力motor 发动机mounting 安装movable 可移动的movable bearing 可动轴承movable bed 动床movable load 活载荷movable support 活动支座movable vane 可动叶片movement 运动movement group 运动群movement of the top 陀螺运动movement stability 运动稳定性moving average method 移动平均法moving axode 动瞬轴面moving bed 移动床moving blade 转动叶片moving boundary method 移动边界方法moving centrode 动瞬心迹moving coil gradiometer 动圈重力梯度计moving in 进入moving load 活动荷载moving medium 动介质moving reference system 动参考系moving source 移动源moving system 运动系统muffler 消声器multi layer structure 多层结构multi parameter analysis 多参数分析multi plane balancing 多平面平衡法multi stage rocket 多级火箭multichannel instrument 多道仪器multicomponent system 多元系multidimensional analysis 多维分析multigrid method 多重网格法multilayer film 多层膜multilayered shell 多层壳multiphase flow 多相流multiphase mixture 多相混合物multiphase porous flow 多相渗流multiphase structure 多相结构multiple 倍数multiple acceleration 多重加速度multiple action potential 多重酌势multiple correlation coefficient 多重相关系数multiple formation 多重形成multiple fourier series 多重傅里叶级数multiple fourier transform 多重傅里叶变换multiple frequency oscillator 多频振荡器multiple pendulum 多重摆multiple resonance 复合共振multiple slip 复滑移multiple source 多束源multiple stage expansion 多级膨胀multiplicity 多重性multipropellant 多元推进剂multishock compression 多次冲还缩multistage compression 多级压缩multistage reaction turbine 多级反唤涡轮机multistage turbine 多级涡轮mutation rate 突变速率mutual action 相互酌mutual exchange 互换mutual friction 互摩擦mutual interaction 相互酌mutual interchange 相互交换myria 万。

微分方程的常用词汇

Ordinary Differential equation vocabulary Asymptotic stability 渐进稳定Auto-oscillations 自振系统Auto-oscillatory regime 自激振荡Characteristic frequencies 特征频率Chebyshev polynomial 切比雪夫多项式Clairaut equation 柯罗特方程Class c r c r类方程Comparison theorem 比较定理Conservative system 保守系统Curve 曲线Constant of integration 积分常数Decomposition into direct sum 直和分解Differential equation 微分方程Differential of first order 一阶微分方程Differential of higher order 高阶微分方程Differentiability theorem 可微性定理Direction field 线速场（或方向场）Directional derivative 方向导数Divergence 发散Determinant 行列式Differentiability 可微性Eigenvector 特征性Eigenvector 特征相量Equation of variations 变系数方程Euler line 欧拉折线Existence theorem 存在性定理Extension of solution 解的延拓Exponential 指数First integral 首次积分Fixed point 不动点Forced oscillations 强迫振动Free oscillations 自由振动Fundamental theorem of algebra 代数基本定理Fundamental system of solution 基础解系Hamillonl’s equation 哈密米顿方程Homogeneous 齐次的Imaginary plane 虚平面Initial condition 初值条件Integral curve 积分曲面Invariant subspaces 不变子空间Inverse function theorem 反函数定理Jordan block 约当块Limit cycle 极限环Linear operator 线性算子Linearized equation 线性化方程Liouville’s formula 刘维尔公式Lipschitz condition 李普希茨条件Lyapunov function 李雅普罗夫函数Lyapunov stability 李雅普罗夫稳定Manifold structure 微分流形Method of ovular line 欧拉折线法Method of small parameters 小参数法Metric space 度量空间Nilpotent operator 幂零算子Nonautonomous linear equation 非自治方程Nonautonomous system 非自治系统Norm form 法式Null space 零空间One-parameter group 单参数群Oscillation 振动Parameterized curve 参数化曲线Pendulum 单摆Phase curve 相曲线Phase flow 相流Phase space 相空间Phase point 相点Phase velocity 相速度Picard approximation theorem 皮卡逼近定理Polynomials 多项式Projective space 投影空间Projection 投影Quasi-polynomials 拟多项式Rectify 求（曲线的）长度Regular point 正则点Regular value 正则值Routh-Hurwitz theorem 路希——霍尔维茨定理Saddle point 鞍点Self-excited oscillation 自激振荡Separable 可分离的Singular point 奇点Small oscillation 小振动Solution of a differential equation 微分方程的解Swing 摆动Tangent bundle 切丛Tangent vectors 切相量Tangent mapping 切映射Transform 变换Torus 圆环Triangle inequality 三角不等式Uniformly convergent 一次收敛Uniqueness theorem 唯一性定理Variation of constants 常数变异法Vector bundle 相量场Velocity vector 速度相量Wronskian 朗斯基arithmetic mean 算术平均值weighted average 加权平均值geometric mean 几何平均数base 乘幂的底数,底边cube 立方数，立方体square root 平方根cube root 立方根common logarithm 常用对数digit 数字constant 常数variable 变量inverse function 反函数round off 四舍五入。

具有强迫项的高阶非线性中立型微分方程的振动性

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[指南]偏微分方程中的英文单词和短语

[指南]偏微分方程中的英文单词和短语维数 dimension一维波动方程 one-dimensional wave equation二维波动方程 two-dimensional wave equation三维波动方程 three-dimensional wave equation热传导方程 heat conduction equation热传导 heat conduction非齐次热传导方nonhomogeneous heat conduction程 equation齐次热传导方程 homogeneous heat conduction equation拉普拉斯方程 Laplace equation泊松方程(有源Poisson equation的电势方程)拉普拉斯算子 Laplace operator 偏微分方程定解问题 definite problem定解条件 definite problem Partial Differential 初始条件 initial condition边界条件 boundary condition Equations 泛函方程 functional equation 第一类边界条件 boundary condition of the first kind第二类边界条件 boundary condition of the second kind初边值问题 initial boundary value problem 第一章偏微分方程的导混合问题 mixed problem柯西问题 Cauchy problem初值问题 initial value problem 出和分类边值问题 boundary value problem适定问题 well posed problem二阶线性偏微分second order linear partial differential方程 equation特征方程 characteristic equation Chapter 1 Derivation and Classification of特征线 characteristic line Partial Differential Equations双曲型方程的标standard form of hyperbolic equation准形式偏微分方程 partial differential equation 超双曲型方程 ultra-hyperbolic equation 波动方程 wave equation 抛物型方程 parabolic equation 弦 string 椭圆型方程的标standard form of elliptic equation 膜 film 准形式振动方程 oscillating equation 特里古米方程 Tricomi equation 扰动disturbance 椭圆型 elliptic type 张力 tension横向振动 transversal oscillation弦的自由振动方free vibration equation of string程波 wave分离变量法 method of separation variables 第二章柯西问题(初值特征值问题 eigenvalue problem特征值 eigenvalue特征函数 eigenfunction 问题)固有函数法(试heuristic method探法)Chapter 2 Cauchy Problems (Initial Value第四章特征值问题Problems)行波法 method of traveling wave达朗贝尔公式D’Alembert formula影响区域 influence regionChapter 4 Eigenvalue Problems决定区域 determining region 特征线法method of characteristic line依赖区域 region of dependence贝塞尔方程 Bessel equation 球面均值法 spherical means method连带的勒让德方associated Legendre equation 泊松公式 Poisson formula 程降维法 method of descent施图姆-刘维尔Sturm-Liouville equation 齐次化原理 homogenization principle 方程推迟势 retarded potential贝塞尔函数 Bessel function 傅里叶-贝塞尔Fourier-Bessel series级数纽曼函数 Neumann function 第三章分离变量法勒让德函数 Legendre function勒让德方程 Legendre equationChapter 3 Methods of Separation of Variables第五章边值问题叠加法 superposition method自由振动 free vibration正弦波 sine waveChapter 5 Boundary Value Problems节点 node 腹点(腹波) antinode驻波 stationary wave 亥姆霍兹方程 Helmholtz equation 固有频率eigenfrequency 定态薛定谔方程 stationary Schrodinger equation 基音fundamental tone 第一边值问题 first boundary value problem 泛音 harmonic 狄利克雷问题 Dirichlet problem 驻波法 method of stationary wave 第二边值问题 second boundary value problem纽曼问题 Neumann problem 矩形脉冲函数 rectangular pulse function 第三边值问题 third boundary value problem 滤波函数 filtering function 第四边值问题 fourth boundary value problem 闸门函数 sluice function 调和方程harmonic equation 拉普拉斯变换 Laplace transform 内边值问题 inner boundary value problem 拉普拉斯逆变换 inverse Laplace transform 狄利克雷外问题 outer Dirichlet problem 反演积分 inversion integral 纽曼外问题outer Neumann problem 拉普拉斯反演积inversion integral of Laplace 分圆的泊松积分 Poisson integral on circular region黎曼-梅林公式 Riemann-Mellin formula赫维赛德展开式Heaviside expansion method法第六章格林函数法延迟定理法 delay theorem method第八章定解问题的近似Chapter 6 Method of Green Function解法格林第一公式 first Green formula 格林第二公示 second Green formula 基本解 fundamental solution形式解 formal solution Chapter 8 Approximate Solutions to Definite 源函数 source function Problems 静电源像法 method of electrostatic source image差分法 difference method差分方程 difference equation网络法 network method 第七章积分变换法相容性条件 compatibility condition同步迭代法 synchronous iteration 异步迭代法 asynchronous iteration method变分方法 variation method变分问题 variation problem Chapter 7 Method of Integral Transform泛函 functional零级距离 zero-level distance 一级距离 first-level distance 傅里叶积分 Fourier integration m级距离 m-level distance 傅里叶积分公式 Fourier integral formula 零级领域 zero-level neighborhood 傅里叶逆变换 inverse Fourier transform 一级邻域 first-level neighborhood 狄拉克函数 Dirac function 相对极小值 relative minimum 集中力 concentrated force 里茨法 Ritz method 单位阶梯函数 unite step function 有限元法 finite element method 赫维赛德阶梯函Heaviside step function刚度矩阵 rigidity matrix 数第九章适定问题和不适定问题Chapter 9 Well-Posed and ill-Posed Problems稳定性 stability极值原理 extremum principle。

高等数学(微积分学)专业术语名词、概念、定理等英汉对照.

目录第一部分英汉微积分词汇Part 1 English-Chinese Calculus Vocabulary第一章函数与极限Chapter 1 function and Limit (1)第二章导数与微分Chapter 2 Derivative and Differential (2)第三章微分中值定理Chapter 3 Mean Value theorem of differentials and theApplicati on of Derivatives (3)第四章不定积分Chapter 4 Indefinite Intergrals (3)第五章定积分Chapter 5 Definite Integral (3)第六章定积分的应用Chapter 6 Application of the Definite Integrals (4)第七章空间解析几何与向量代数Chapter 7 Space Ana lytic Geomertry and Vector Algebra (4)第八章多元函数微分法及其应用Chapter 8 Differentiation of functions Several variablesand Its Application (5)第九章重积分Multiple Integrals (6)第十章曲线积分与曲面积分Chapter 10 Line(Curve ) Integrals and Sur face Integrals……………………6 第十一章无穷级数Chapter 11 Infinite Series……………………………………………………6 第十二章微分方程Chapter 12 Differential Equation (7)第二部分定理定义公式的英文表达 Part 2 English Expression for Theorem, Definition and Formula第一章函数与极限Chapter 1 Function and L imit (19)1.1 映射与函数(Mapping and Function ) (19)1.2 数列的极限(Limit of the Sequence of Number) (20)1.3 函数的极限(Limit of Function) (21)1.4 无穷小与无穷大(Infinitesimal and Inifinity) (23)1.5 极限运算法则(Operation Rule of L imit) (24)1.6 极限存在准则两个重要的极限(Rule for theExistence of Limits Two Important Limits) (25)1.7 无穷小的比较(The Comparison of infinitesimal) (26)1.8 函数的连续性与间断点(Continuity of FunctionAnd Discontinuity Points) (28)1.9 连续函数的运酸与初等函数的连续性(OperationOf Continuous Functions and Continuity ofElementary Functions) (28)1.10 闭区间上联系汗水的性质(Properties ofContinuous Functions on a Closed Interval) (30)第二章导数与数分Chapter2 Derivative and Differential (31)2.1 导数的概念(The Concept of Derivative) (31)2.2 函数的求导法则(Rules for Finding Derivatives) (33)2.3 高阶导数(Higher-order Derivatives) (34)2.4 隐函数及由参数方程所确定的函数的导数相关变化率(Derivatives of Implicit Functions and Functions Determined by Parametric Equation and Correlative Change Rate) (34)2.5 函数的微分(Differential of a Function) (35)第三章微分中值定理与导数的应用Chapter 3 Mean Value Theorem of Differentials and theApplication of Derivatives (36)3.1 微分中值定理(The Mean Value Theorem) (36)3.2 洛必达法则(L’Hopital’s Rule) (38)3.3 泰勒公式(Taylor’s Formula) (41)3.4 函数的单调性和曲线的凹凸性(Monotonicityof Functions and Concavity of Curves) (43)3.5 函数的极值与最大最小值(Extrema, Maximaand Minima of Functions) (46)3.6 函数图形的描绘(Graphing Functions) (49)3.7 曲率(Curvature) (50)3.8 方程的近似解(Solving Equation Numerically) (53)第四章不定积分Chapter 4 Indefinite Integrals (54)4.1 不定积分的概念与性质(The Concept andProperties of Indefinite Integrals) (54)4.2 换元积分法(Substitution Rule for Indefinite Integrals) (56)4.3 分部积分法(Integration by Parts) (57)4.4 有理函数的积分(Integration of Rational Functions) (58)第五章定积分Chapter 5 Definite Integrals (61)5.1 定积分的概念和性质(Concept of Definite Integraland its Properties) (61)5.2 微积分基本定理(Fundamental Theorem of Calculus) (67)5.3 定积分的换元法和分部积分法(Integration by Substitution andDefinite Integrals by Parts) (69)5.4 反常积分(Improper Integrals) (70)第六章定积分的应用Chapter 6 Applications of the Definite Integrals (75)6.1 定积分的元素法(The Element Method of Definite Integra (75)6.2 定积分在几何学上的应用(Applications of the DefiniteIntegrals to Geometry) (76)6.3 定积分在物理学上的应用(Applications of the DefiniteIntegrals to Physics) (79)第七章空间解析几何与向量代数Chapter 7 Space Analytic Geometry and Vector Algebar (80)7.1 向量及其线性运算(Vector and Its Linear Operation) (80)7.2 数量积向量积(Dot Produc t and Cross Product) (86)7.3 曲面及其方程(Surface and Its Equation) (89)7.4 空间曲线及其方程(The Curve in Three-space and Its Equation (91)7.5 平面及其方程（Plane in Space and Its Equation) (93)7.6 空间直线及其方程（Lines in and Their Equations) (95)第八章多元函数微分法及其应用Chapter 8 Differentiation of Functions of SeveralVariables and Its Application (99)8.1 多元函数的基本概念（The Basic Concepts of Functionsof Several Variables) (99)8.2 偏导数(Partial Derivative) (102)8.3 全微分(Total Differential) (103)8.4 链式法则（The Chain Rule) (104)8.5 隐函数的求导公式(Derivative Formula for Implicit Functions). (104)8.6 多元函数微分学的几何应用(Geometric Applications of Differentiationof Ffunctions of Severalvariables) (106)8.7方向导数与梯度(Directional Derivatives and Gradients) (107)8.8多元函数的极值(Extreme Value of Functions of Several Variables) (108)第九章重积分Chapter 9 Multiple Integrals (111)9.1二重积分的概念与性质(The Concept of Double Integralsand Its Properities) (111)9.2二重积分的计算法(Evaluation of double Integrals) (114)9.3三重积分(Triple Integrals) (115)9.4重积分的应用(Applications of Multiple Itegrals) (120)第十章曲线积分与曲面积分Chapte 10 Line Integrals and Surface Integrals………………………………121 10.1 对弧长的曲线积分(line Intergrals with Respect to Arc Length) ………121 10.2 对坐标的曲线积分(Line Integrals with respect toCoordinate Variables) ……………………………………………………123 10.3 格林公式及其应用(Green's Formula and Its Applications) ………………124 10.4 对面积的曲面积分(Surface Integrals with Respect to Aarea) ……………126 10.5 对坐标的曲面积分(Surface Integrals with Respect toCoordinate Variables) ………………………………………………………128 10.6 高斯公式通量与散度(Gauss's Formula Flux and Divirgence) …… 130 10.7 斯托克斯公式环流量与旋度(Stokes's Formula Circulationand Rotation) (131)第十一章无穷级数Chapter 11 Infinite Series (133)11.1 常数项级数的概念与性质(The concept and Properties ofThe Constant series) ………………………………………………………133 11.2 常数项级数的审敛法(Test for Convergence of the Constant Series) ……137 11.3 幂级数(powe r Series). ……………………………………………………143 11.4 函数展开成幂级数(Represent the Function as Power Series) ……………148 11.5 函数的幂级数展开式的应用(the Appliacation of the Power Seriesrepresentation of a Function) (148)11.6 函数项级数的一致收敛性及一致收敛级数的基本性质(The Unanimous Convergence of the Ser ies of Functions and Its properties) (149)11.7 傅立叶级数（Fourier Series）.............................................152 11.8 一般周期函数的傅立叶级数(Fourier Series of Periodic Functions) (153)第十二章微分方程Chapter 12 Differential Equation……………………………………………155 12.1 微分方程的基本概念（The Concept of DifferentialEqu ation) ……155 12.2 可分离变量的微分方程(Separable Differential Equation) ………156 12.3 齐次方程(Homogeneous Equation) ………………………………156 12.4 一次线性微分方程(Linear Differential Equation of theFirst Order) (157)12.5 全微分方程(Total Differential Equation) …………………………158 12.6 可降阶的高阶微分方程(Higher-order DifferentialEquation Turned to Lower-order DifferentialEquation) (159)12.7 高阶线性微分方程(Linear Differential Equation of Higher Order) …159 12.8 常系数齐次线性微分方程(Homogeneous LinearDifferential Equation with Constant Coefficient) (163)12.9 常系数非齐次线性微分方程(Non HomogeneousDifferential Equation with Constant Coefficient) (164)12.10 欧拉方程(Euler Equation) …………………………………………164 12.11 微分方程的幂级数解法(Power Series Solutionto Differential Equation) (164)第三部分常用数学符号的英文表达Part 3 English Expression of the Mathematical Symbol in Common Use第一部分英汉微积分词汇Part1 English-Chinese Calculus Vocabulary映射 mappingX到Y的映射 mapping of X ontoY 满射 surjection 单射 injection一一映射 one-to-one mapping 双射 bijection 算子 operator变化 transformation 函数 function逆映射 inverse mapping复合映射 composite mapping 自变量 independent variable 因变量 dependent variable 定义域 domain函数值 value of function 函数关系 function relation 值域 range自然定义域 natural domain 单值函数 single valued function 多值函数 multiple valued function 单值分支 one-valued branch 函数图形 graph of a function 绝对值函数 absolute value 符号函数 sigh function 整数部分 integral part 阶梯曲线 step curve 第一章函数与极限Chapter1 Function and Limit 集合 set元素 element 子集 subset 空集 empty set 并集 union交集 intersection 差集 difference of set 基本集 basic set补集 complement set 直积 direct product笛卡儿积 Cartesian product 开区间 open interval 闭区间 closed interval 半开区间half open interval 有限区间 finite interval区间的长度 length of an interval 无限区间 infinite interval 领域 neighborhood领域的中心 centre of a neighborhood 领域的半径 radius of a neighborhood 左领域left neighborhood 右领域 right neighborhood当且仅当 if and only if(iff) 分段函数 piecewise function 上界 upper bound 下界lower bound 有界 boundedness 无界 unbounded函数的单调性 monotonicity of a function 单调增加的 increasing 单调减少的decreasing单调函数 monotone function函数的奇偶性 parity(odevity) of a function对称 symmetry 偶函数 even function 奇函数 odd function函数的周期性 periodicity of a function 周期 period反函数 inverse function 直接函数 direct function 复合函数 composite function 中间变量 intermediate variable 函数的运算 operation of function基本初等函数 basic elementary function 初等函数 elementary function 幂函数 power function指数函数 exponential function 对数函数 logarithmic function 三角函数 trigonometric function反三角函数 inverse trigonometric function 常数函数 constant function 双曲函数hyperbolic function 双曲正弦 hyperbolic sine 双曲余弦 hyperbolic cosine 双曲正切hyperbolic tangent反双曲正弦 inverse hyperbolic sine 反双曲余弦 inverse hyperbolic cosine 反双曲正切 inverse hyperbolic tangent 极限 limit数列 sequence of number 收敛 convergence 收敛于 a converge to a 发散 divergent极限的唯一性 uniqueness of limits收敛数列的有界性 boundedness of aconvergent sequence子列 subsequence函数的极限 limits of functions函数f(x)当x趋于x0时的极限 limit of functions f(x) as x approaches x0 左极限 left limit 右极限 right limit单侧极限 one-sided limits水平渐近线 horizontal asymptote 无穷小 infinitesimal 无穷大 infinity铅直渐近线 vertical asymptote 夹逼准则 squeeze rule单调数列 monotonic sequence高阶无穷小 infinitesimal of higher order 低阶无穷小 infinitesimal of lower order 同阶无穷小 infinitesimal of the same order 等阶无穷小 equivalent infinitesimal 函数的连续性 continuity of a function 增量 increment函数f(x)在x0连续 the function f(x) is continuous at x0左连续 left continuous 右连续 right continuous区间上的连续函数 continuous function 函数f(x)在该区间上连续 function f(x) is continuous on an interval 不连续点 discontinuity point第一类间断点 discontinuity point of the first kind第二类间断点 discontinuity point of the second kind初等函数的连续性 continuity of the elementary functions定义区间 defined interval最大值 global maximum value (absolute maximum)最小值 global minimum value (absolute minimum)零点定理 the zero point theorem介值定理 intermediate value theorem 第二章导数与微分Chapter2 Derivative and Differential 速度 velocity匀速运动 uniform motion 平均速度 average velocity瞬时速度 instantaneous velocity 圆的切线 tangent line of a circle 切线 tangent line切线的斜率 slope of the tangent line 位置函数 position function 导数 derivative 可导derivable函数的变化率问题 problem of the change rate of a function导函数 derived function 左导数 left-hand derivative 右导数 right-hand derivative 单侧导数 one-sided derivativesf(x)在闭区间【a,b】上可导 f(x)isderivable on the closed interval [a,b] 切线方程 tangent equation 角速度 angular velocity 成本函数 cost function 边际成本 marginal cost 链式法则 chain rule隐函数 implicit function 显函数 explicit function 二阶函数 second derivative 三阶导数 third derivative 高阶导数 nth derivative莱布尼茨公式 Leibniz formula 对数求导法 log- derivative 参数方程 parametric equation 相关变化率 correlative change rata 微分 differential 可微的 differentiable 函数的微分 differential of function自变量的微分 differential of independent variable微商 differential quotient间接测量误差 indirect measurement error 绝对误差 absolute error相对误差 relative error第三章微分中值定理与导数的应用Chapter3 MeanValue Theorem of Differentials and the Application of Derivatives 罗马定理Rolle’s theorem 费马引理Fermat’s lemma拉格朗日中值定理Lagrange’s mean value theorem驻点 stationary point 稳定点 stable point 临界点 critical point辅助函数 auxiliary function拉格朗日中值公式Lagrange’s mean value formula柯西中值定理Cauchy’s mean value theorem洛必达法则L’Hospital’s Rule0/0型不定式 indeterminate form of type 0/0不定式 indeterminate form泰勒中值定理Taylor’s mean value theorem泰勒公式 Taylor formula 余项 remainder term拉格朗日余项 Lagrange remainder term 麦克劳林公式Maclaurin’s formula 佩亚诺公式 Peano remainder term 凹凸性 concavity凹向上的 concave upward, cancave up 凹向下的，向上凸的concave downward’ concave down拐点 inflection point函数的极值 extremum of function 极大值 local(relative) maximum 最大值global(absolute) mximum 极小值 local(relative) minimum 最小值 global(absolute) minimum 目标函数 objective function 曲率 curvature弧微分 arc differential平均曲率 average curvature 曲率园 circle of curvature 曲率中心 center of curvature 曲率半径 radius of curvature渐屈线 evolute 渐伸线 involute根的隔离 isolation of root 隔离区间 isolation interval 切线法 tangent line method第四章不定积分Chapter4 Indefinite Integrals原函数 primitive function(antiderivative) 积分号 sign of integration 被积函数integrand积分变量 integral variable 积分曲线 integral curve 积分表 table of integrals换元积分法 integration by substitution 分部积分法 integration by parts分部积分公式 formula of integration by parts有理函数 rational function 真分式 proper fraction 假分式 improper fraction第五章定积分Chapter5 Definite Integrals 曲边梯形 trapezoid with 曲边 curve edge窄矩形 narrow rectangle曲边梯形的面积 area of trapezoid with curved edge积分下限 lower limit of integral 积分上限 upper limit of integral 积分区间 integral interval 分割 partition积分和 integral sum 可积 integrable矩形法 rectangle method积分中值定理 mean value theorem of integrals函数在区间上的平均值 average value of a function on an integvals牛顿－莱布尼茨公式 Newton-Leibniz formula微积分基本公式 fundamental formula of calculus换元公式 formula for integration by substitution递推公式 recurrence formula 反常积分 improper integral反常积分发散 the improper integral is divergent反常积分收敛 the improper integral is convergent无穷限的反常积分 improper integral on an infinite interval无界函数的反常积分 improper integral of unbounded functions绝对收敛 absolutely convergent第六章定积分的应用Chapter6 Applications of the Definite Integrals元素法 the element method 面积元素 element of area平面图形的面积 area of a luane figure 直角坐标又称“笛卡儿坐标 (Cartesian coordinates)”极坐标 polar coordinates 抛物线 parabola 椭圆 ellipse旋转体的面积 volume of a solid of rotation旋转椭球体 ellipsoid of revolution, ellipsoid of rotation曲线的弧长 arc length of acurve 可求长的 rectifiable 光滑 smooth 功 work水压力 water pressure 引力 gravitation 变力 variable force第七章空间解析几何与向量代数Chapter7 Space Analytic Geometry and Vector Algebra向量 vector自由向量 free vector 单位向量 unit vector 零向量 zero vector 相等 equal 平行parallel向量的线性运算 linear poeration of vector 三角法则 triangle rule平行四边形法则 parallelogram rule 交换律 commutative law 结合律 associative law 负向量 negative vector 差 difference分配律 distributive law空间直角坐标系 space rectangular coordinates坐标面 coordinate plane 卦限 octant向量的模 modulus of vector向量a与b的夹角 angle between vector a and b方向余弦 direction cosine 方向角 direction angle向量在轴上的投影 projection of a vector onto an axis数量积，外积，叉积 scalar product,dot product,inner product曲面方程 equation for a surface 球面 sphere旋转曲面 surface of revolution 母线 generating line 轴 axis圆锥面 cone 顶点 vertex旋转单叶双曲面 revolution hyperboloids of one sheet旋转双叶双曲面 revolution hyperboloids of two sheets柱面 cylindrical surface ,cylinder 圆柱面 cylindrical surface 准线 directrix抛物柱面 parabolic cylinder 二次曲面 quadric surface 椭圆锥面 dlliptic cone 椭球面ellipsoid单叶双曲面 hyperboloid of one sheet 双叶双曲面 hyperboloid of two sheets 旋转椭球面 ellipsoid of revolution 椭圆抛物面 elliptic paraboloid旋转抛物面 paraboloid of revolution 双曲抛物面 hyperbolic paraboloid 马鞍面 saddle surface椭圆柱面 elliptic cylinder 双曲柱面 hyperbolic cylinder 抛物柱面 parabolic cylinder 空间曲线 space curve空间曲线的一般方程 general form equations of a space curve空间曲线的参数方程 parametric equations of a space curve 螺转线 spiral 螺矩 pitch 投影柱面 projecting cylinder 投影 projection平面的点法式方程 pointnorm form eqyation of a plane法向量 normal vector平面的一般方程 general form equation of a plane两平面的夹角 angle between two planes 点到平面的距离 distance from a point to a plane空间直线的一般方程 general equation of a line in space方向向量 direction vector直线的点向式方程 pointdirection form equations of a line方向数 direction number直线的参数方程 parametric equations of a line两直线的夹角 angle between two lines 垂直 perpendicular直线与平面的夹角 angle between a line and a planes平面束 pencil of planes平面束的方程 equation of a pencil of planes行列式 determinant系数行列式 coefficient determinant第八章多元函数微分法及其应用Chapter8 Differentiation of Functions of Several Variables and Its Application 一元函数 function of one variable 多元函数 function of several variables 内点 interior point 外点 exterior point 边界点 frontier point,boundary point 聚点 point of accumulation 开集 openset 闭集 closed set 连通集 connected set 开区域 open region 闭区域 closed region有界集 bounded set 无界集 unbounded setn维空间 n-dimentional space 二重极限 double limit 多元函数的连续性 continuity of function of seveal 连续函数 continuous function 不连续点 discontinuity point 一致连续 uniformly continuous 偏导数 partial derivative 对自变量x的偏导数 partial derivative with respect to independent variable x 高阶偏导数 partial derivative of higher order 二阶偏导数 second order partial derivative 混合偏导数 hybrid partial derivative 全微分 total differential 偏增量 oartial increment 偏微分 partial differential 全增量 total increment 可微分 differentiable 必要条件 necessary condition充分条件 sufficient condition 叠加原理 superpostition principle 全导数 total derivative中间变量 intermediate variable 隐函数存在定理 theorem of the existence of implicit function 曲线的切向量 tangent vector of a curve 法平面 normal plane 向量方程vector equation 向量值函数 vector-valued function 切平面 tangent plane 法线 normal line 方向导数 directional derivative梯度 gradient数量场 scalar field 梯度场 gradient field 向量场 vector field 势场 potential field 引力场 gravitational field 引力势 gravitational potential 曲面在一点的切平面 tangent plane to asurface at a point 曲线在一点的法线 normal line to asurface at a point 无条件极值 unconditional extreme values 条件极值 conditional extreme values 拉格朗日乘数法 Lagrange multiplier method 拉格朗日乘子 Lagrange multiplier 经验公式 empirical formula 最小二乘法 method of least squares 均方误差mean square error 第九章重积分 Chapter9 Multiple Integrals 二重积分 double integral 可加性 additivity累次积分 iterated integral 体积元素 volume element 三重积分 triple integral 直角坐标系中的体积元素 volumeelement in rectangular coordinate system 柱面坐标 cylindrical coordinates 柱面坐标系中的体积元素 volumeelement in cylindrical coordinate system 球面坐标 spherical coordinates 球面坐标系中的体积元素 volumeelement in spherical coordinate system 反常二重积分 improper double integral 曲面的面积 area of a surface 质心 centre of mass 静矩 static moment 密度 density 形心centroid 转动惯量 moment of inertia 参变量 parametric variable 第十章曲线积分与曲面积分Chapter10 Line(Curve)Integrals and Surface Integrals对弧长的曲线积分 line integrals with respect to arc hength第一类曲线积分 line integrals of the first type对坐标的曲线积分 line integrals with respect to x,y,and z第二类曲线积分 line integrals of the second type有向曲线弧 directed arc单连通区域 simple connected region 复连通区域 complex connected region 格林公式Green formula第一类曲面积分 surface integrals of the first type对面的曲面积分 surface integrals with respect to area有向曲面 directed surface对坐标的曲面积分 surface integrals with respect to coordinate elements第二类曲面积分 surface integrals of the second type有向曲面元 element of directed surface 高斯公式 gauss formula拉普拉斯算子 Laplace operator 格林第一公式Green’s first formula 通量 flux散度 divergence斯托克斯公式 Stokes formula 环流量 circulation 旋度 rotation,curl第十一章无穷级数Chapter11 Infinite Series 一般项 general term 部分和 partial sum 余项 remainder term 等比级数 geometric series 几何级数 geometric series 公比 common ratio调和级数 harmonic series柯西收敛准则 Cauchy convergence criteria, Cauchy criteria for convergence 正项级数series of positive terms 达朗贝尔判别法D’Alembert test 柯西判别法 Cauchy test交错级数 alternating series 绝对收敛 absolutely convergent 条件收敛 conditionally convergent 柯西乘积 Cauchy product 函数项级数 series of functions 发散点 point of divergence 收敛点 point of convergence 收敛域 convergence domain 和函数 sum function 幂级数 power series幂级数的系数 coeffcients of power series 阿贝尔定理 Abel Theorem收敛半径 radius of convergence 收敛区间 interval of convergence 泰勒级数 Taylor series麦克劳林级数 Maclaurin series 二项展开式 binomial expansion 近似计算approximate calculation舍入误差 round-off error,rounding error 欧拉公式Euler’s formula魏尔斯特拉丝判别法 Weierstrass test 三角级数 trigonometric series 振幅 amplitude 角频率 angular frequency 初相 initial phase 矩形波 square wave谐波分析 harmonic analysis 直流分量 direct component 基波 fundamental wave 二次谐波 second harmonic三角函数系 trigonometric function system 傅立叶系数 Fourier coefficient 傅立叶级数 Forrier series 周期延拓 periodic prolongation 正弦级数 sine series 余弦级数cosine series 奇延拓 odd prolongation 偶延拓 even prolongation傅立叶级数的复数形式 complex form of Fourier series第十二章微分方程Chapter12 Differential Equation解微分方程 solve a dirrerential equation 常微分方程 ordinary differential equation偏微分方程 partial differential equation,PDE微分方程的阶 order of a differential equation微分方程的解 solution of a differential equation微分方程的通解 general solution of a differential equation初始条件 initial condition微分方程的特解 particular solution of a differential equation初值问题 initial value problem微分方程的积分曲线 integral curve of a differential equation可分离变量的微分方程 variable separable differential equation隐式解 implicit solution隐式通解 inplicit general solution 衰变系数 decay coefficient 衰变 decay齐次方程 homogeneous equation一阶线性方程 linear differential equation of first order非齐次 non-homogeneous齐次线性方程 homogeneous linear equation非齐次线性方程 non-homogeneous linear equation常数变易法 method of variation of constant暂态电流 transient stata current 稳态电流 steady state current 伯努利方程 Bernoulli equation全微分方程 total differential equation 积分因子 integrating factor高阶微分方程 differential equation of higher order悬链线 catenary高阶线性微分方程 linera differentialequation of higher order自由振动的微分方程 differential equation of free vibration强迫振动的微分方程 differential equation of forced oscillation串联电路的振荡方程 oscillation equation of series circuit二阶线性微分方程 second order linera differential equation线性相关 linearly dependence 线性无关 linearly independce二阶常系数齐次线性微分方程 second order homogeneour linear differential equation with constant coefficient二阶变系数齐次线性微分方程 second order homogeneous linear differential equation with variable coefficient 特征方程 characteristic equation无阻尼自由振动的微分方程 differential equation of free vibration with zero damping 固有频率 natural frequency简谐振动 simple harmonic oscillation,simple harmonic vibration微分算子 differential operator待定系数法 method of undetermined coefficient共振现象 resonance phenomenon 欧拉方程 Euler equation幂级数解法 power series solution 数值解法 numerial solution 勒让德方程 Legendre equation微分方程组 system of differential equations常系数线性微分方程组 system of linera differential equations with constant coefficient第二部分定理定义公式的英文表达Part2 English Expression for Theorem, Definition and Formula第一章函数与极限Chapter 1 Function and Limit1.1 映射与函数 (Mapping and Function)一、集合 (Set)二、映射 (Mapping)映射概念 (The Concept of Mapping) 设X, Y是两个非空集合 , 如果存在一个法则f，使得对X中每个元素x，按法则f，在Y中有唯一确定的元素y与之对应 ,则称f为从X到 Y的映射 , 记作f:X→Y。

高阶非线性脉冲泛函微分方程的振动性

２主要结果
以下研究脉冲泛函微分系统
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维普资讯
２０，８１：８— ００８Ａ（）８２０２１
数学物理学报
高阶非线性脉冲泛函微分方程的振动性
张超龙杨逢建杨建富
（仲恺农业技术学院计算科学系广州５０２）１２５
摘要：究了一类广义的高阶非线性脉冲泛函微分方程的振动性，到关于解振动的几个充分研得条件．
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收稿日期：０６０ —８修订日期：２０－６ｌ２０－１０；０７０＿８
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基金项目：广州市科技计划项目（０６１Ｃ３１资助２０Ｊ一０４）
关键词。高阶；泛函微分方程；脉冲；振动性；非线性．
ＭＲ（００２０）主题分类：４中图分类号：７．文献标识码：３ＤＯ１５１Ａ文章编号：０３３９（０）１８—３１０－９８２８０— ８１０１

机械工程学专业词汇英语翻译(L)

labile 不稳定的labile equilibrium 不稳平衡lability 不稳定性lacing 栅格桁架lag 延迟lag angle 滞后角lagrange bracket 拉格朗日括号lagrange d'alembert principle 拉格朗日达朗伯原理lagrange dirichlet theorem 拉格朗日狄利克莱定理lagrange equations of the first kind 第一类拉格朗日方程lagrange formula 拉格朗日公式lagrange function 拉格朗日函数lagrange gyroscope 拉格朗日陀螺仪lagrange interpolation formula 拉格朗日插值公式lagrange interpolation polynomial 拉格朗日插值多项式lagrange multiplier 拉格朗日乘数lagrange three body problem 拉格朗日三体问题lagrange's equation of motion 拉格朗日运动方程lagrange's equations of the second kind 第二类拉格朗日方程lagrange's theorem 拉格朗日定理lagrange's variable 拉格朗日变量lagrangian 拉格朗日算符lagrangian coordinates 拉格朗日坐标lagrangian correlation 拉格朗日相关lagrangian density 拉格朗日密度lagrangian dynamics 拉格朗日动力学lagrangian multiplier method 拉格朗日乘子法lagrangian operator 拉格朗日算符lagrangian turbulence scale 拉格朗日湍吝度lamb wave 拉姆波lambda shock wave 形激波lambert's equation 朗伯方程lamina 薄片laminar 层聊laminar aerofoil section 层另型laminar boundary layer 层吝界层laminar convection 层猎流laminar flame 层琉焰laminar flow 层流laminar friction 层力擦laminar grating 层状晶格laminar motion 层了动laminar separation 层林离laminar structure 层压结构laminar sublayer 层磷层laminarization 层怜laminate 层压板laminated sheet 层压板laminated spring 叠层弹簧laminated structure 层状结构lamination 叠层lamination theory 叠层理论lamont nozzle 拉蒙喷管landing flap 着陆襟翼lane 航线langmuir frequency 朗谬尔频率langmuir gage 朗谬尔规langmuir manometer 朗谬尔规langmuir oscillation 朗谬尔振荡langmuir type probe 朗谬尔探针laplace coefficient 拉普拉斯系数laplace expansion 拉普拉斯展开laplace formula 拉普拉斯公式laplace operator 拉普拉斯算符laplace transformation 拉普拉斯变换laplace's integral 拉普拉斯积分laplace's theorem 拉普拉斯定理laplace's vector 拉普拉斯矢量laplacian equation 拉普拉斯方程large calorie 大卡large deflection 大挠度large deformation 大变形large reynolds number flow 大雷诺数怜latent energy 潜能latent heat of evaporation 蒸发潜热latent heat of fusion 熔化潜热latent heat of liquefaction 液化潜热latent heat of solidification 凝固潜热latent vector 本崭量lateral 横的lateral buckling 横向压屈lateral contraction 横向收缩lateral deflection 横向挠曲lateral deviation 横向偏差lateral displacement 横向位移lateral force 横向力lateral force coefficient 侧力系数lateral force density 横力密度lateral load 横向载荷lateral pressure 侧压力lateral refraction 侧向折射lateral section 横截面lateral stability 横向稳定性lateral strain 横向应变lateral stress 横向应力lateral velocity 横向速度lateral vibration 横向振动latitude 纬度lattice 晶格lattice gas 晶格气lattice girder 桁架梁lattice parameter 晶格参数lattice structure 晶格结构lattice truss 栅格桁架lattice vibration 点阵振动lattice work 栅格结构launching 发射launching acceleration 发射加速度launching speed 发射速度laurent's expansion 劳朗展开laval density 拉瓦尔密度laval nozzle 拉瓦尔喷嘴laval pressure 拉瓦尔压力laval state 拉瓦尔状态laval temperature 拉瓦尔温度laval velocity 拉瓦尔速度law 法则law of action and reaction 酌反酌定律law of areas 面积定律law of conservation of energy 能量守恒律law of conservation of mass 质量守恒律law of conservation of momentum 动量守恒律law of corresponding state 对应态定律law of elasticity 弹性定律law of equivalence 等效定律law of errors 误差律law of falling bodies 落体定律law of inertia 惯性定律law of mass action 质量酌定律law of moment of momentum 动量矩定律law of motion 运动律law of mutuality of phases 共存相定律law of reflection 反射定律law of resistance for turbulent flow 湍凌力定律law of shearing stress 切应力定律law of similarity transformation 相似变换定律law of the transmissibility of pressure 压力传递定律law of the wall 壁定律law of thermal equilibrium 热平衡定律law of thermodynamics 热力学定律law of torsion stress 切应力定律law of universal gravitation 万有引力定律law of velocity addition 速度加法定律law of vortex motion 涡动定律layer 层layer division 分层layer of fluid 液层layer thickness 层厚度le chatelier's principle 勒夏特利原理leaching 浸出lead angle 超前角leading edge 前缘leading edge vortex 前缘涡流leaf metal 金属薄片leaf spring 板弹簧leak 漏泄leakage 漏泄leakage loss 漏损lean mixture 稀混合气leap 跳跃leap distance 跳跃距离least action principle 最小酌原理least line of resistance 最小阻抗线least square approximation 最小二乘逼近least square method 最小二乘法least work 最小功lee side vortex 下风涡lee wave 背风波lee wave equation 背风波动方程lee wave theory 背风波动理论left hand rule 左手定则left hand screw 左螺旋left handed 在旋的left handed coordinate system 左手坐标系legendre transformation 勒让德变换lemniscate 双纽线length 长度length measurement 长度测量length measuring 长度测量length measuring machine 测长器length of action 咬合长度length of path 路径长度length of run 滑走距离length unit 长度单位lennard jones potential 林纳德琼斯势letdown 下降level 水准level diagram 水位变化曲线图levelling depth 平整深度lever 杠杆leverage ratio 杠杆率levorotation 左旋liapunov conditions 李亚普诺夫条件liapunov first method 李亚普诺夫第一方法liapunov function 李亚普诺夫函数liapunov's second method 李亚普诺夫第二方法liapunov's theorem of stability 李亚普诺夫稳定性定理libration 天平动libration period 天平动周期libration point 天平动点librational wave 天平动波lifetime 寿命lift 升降机lift axis 升力轴lift coefficient 升力系数lift curve 升力曲线lift drag ratio 升阻比lift off 起飞lifting 上升lifting force 举升力lifting height 上升高度lifting line 升力线lifting line theory 升力线理论lifting moment 升力矩lifting power 升力lifting pressure 升压lifting speed 升速度lifting surface 浮升面；升力面lifting surface theory 升力面理论lifting vortex line theory 升力涡线理论lifting work 上升功limit 界限limit analysis 极限分析limit case 极限情况limit cycle 极限周期limit design 极限设计limit distribution 极限分布limit equilibrium 极限平衡limit load 临界载荷limit of error 误差的限界limit of proportionality 屈服点limit of strength 强度极限limit theorem 极限定理limit value 极限值limitation 限制limiter 限制器limiting angle of friction 极限摩擦角limiting concentration 极限浓度limiting flow 极限流limiting frequency 极限频率limiting mass 极限质量limiting speed 极限速度limiting trajectory 极限轨迹limiting vacuum 极限真空limiting value 极限值limiting velocity 极限速度limitless 无界的line element 线元line of action 酌线line of action of force 力的酌线line of curvature 曲率线line of direction 方向线line of discontinuity 不连续线line of displacement vector 位移矢量线line of equal velocity 等速度线line of flow 吝line of force 力线line of fracture 断裂线line of intersection 交线line of magnetic force 磁力线line of pressure 压力线line of principal stress 枝力轨迹line of tension 应力线line of torsion 扭曲线line spectrum 线状谱line splitting 线分裂linear acceleration 线加速度linear accelerator 线性加速器linear compressibility 线性压缩性linear contraction 线收缩linear correlation 线性相关linear differential equation 线性微分方程linear dilatation 线性伸长linear dimension 线性尺寸linear elastic fracture mechanics 线弹性断裂力学linear elasticity 线性弹性linear energy 线性能量linear energy transfer 线性能量转移linear expansion 线膨胀linear extension 线性伸长linear flow 线性流linear harmonic oscillator 线性谐振子linear macromolecule 线性大分子linear mapping 线性映射linear measure 线性量度linear moment 线性矩linear moment of inertia 线性转动惯量linear momentum 线动量linear motion 一维运动linear oscillation 线性振荡linear pinch 线箍缩linear polarization 线偏振linear programming 线性规划linear shrinkage 线收缩linear stress 线应力linear system 线性系统linear temperature coefficient 线性温度系数linear tensor 线性张量linear thermal expansion 线性热膨胀linear transformation 线性变换linear vector space 线性矢量空间linear velocity 线速度linear vibration 线性振动linear viscoelasticity 线性粘弹性linear viscosity 线性粘度linear viscous damping 线性粘性阻尼linearity 线性linearization 线性化linearly elastic 线性弹性的linearly viscoelastic 线性粘弹性的lining 衬砌link polygon 肃边形linkage 连杆机构liouville's theorem 刘维定理liquefaction 液化liquefaction coefficient 液化系数liquefaction point 液化点liquid 液体liquid air 液态空气liquid column 液柱liquid damping 液体阻尼liquid filament 细水流量liquid film 液膜liquid friction 液体摩擦liquid fuel 液体燃料liquid gas interface 液气界面liquid jet pump 液体喷射泵liquid layer 液层liquid level 液面liquid lubrication 液体润滑liquid manometer 液压计liquid meniscus 液体的弯月面liquid phase 液相liquid propellant rocket 液体推进剂火箭liquid resistor 液体阻力器liquid seal 液封liquid solid flow 液固怜liquid state 液态liquid statics 液体静力学liquid surface wave 液面波liquid vapor equilibrium 液汽平衡liquid water 液态水liter 升liter atmosphere 公升大气压lithomechanics 岩石力学lithostatic pressure 静岩压litre 升live center 活顶尖live load 活载荷load 载荷load capacity 负载容量load center 载荷中心load characteristic 负载特性load coefficient 负载系数load curve 载荷曲线load deformation diagram 载荷变形图load diagram 载荷图load factor 载荷因数load line 载荷曲线load moment 载荷力矩load on spring 弹簧负载load rating 额定载荷load ratio 载荷比load test 加载试验loading 装载loading cycle 载荷循环loading surface 加载面local action 局部酌local contraction 局部收缩local displacement field 局部位移场local equation of motion 局部运动方程local feature 局部特咋local generalized force 局部广义力local heat transfer coefficient 局部传热系数local heating 局部加热local inertial system of coordinate 定域惯性坐标系local losses of head 局部压头损失local mach number 局部马赫数local perturbation 局部微扰local resistance 局部阻力local sonic speed 局部声速local stress 局部应力local support 局部支承local thermodynamic equilibrium 局部热力学平衡local transfer theory 局部传输理论locally isotropic turbulence 局部蛤同性湍流locking 锁定locus 轨迹logarithmic decrement 对数衰减logarithmic increment 对数增量logarithmic spiral 对数螺线logical model 逻辑模型logical simulation 逻辑模拟london force 伦敦力long periodic oscillation 长周期振荡long range effect 超距酌long range force 长程力long term stability 长期稳定性long term strength 长期强度long time behavior 长期行为long time creep test 长期蠕变试验long ton 长吨long tube effect 长管效应long wave 长波long wave approximation 长波近似longitude 经度longitudinal axis 纵轴longitudinal beam 纵梁longitudinal crack 纵向裂缝longitudinal crevasse 纵裂缝longitudinal damping 纵阻尼longitudinal diffusion 纵向扩散longitudinal flow 纵向怜longitudinal force 纵向力longitudinal impact 纵向碰撞longitudinal mode 纵模longitudinal modulus of elasticity 纵向弹性模量longitudinal moment 俯仰力矩longitudinal oscillation 纵振动longitudinal section 纵剖面longitudinal sound wave 纵向声波longitudinal stability 纵向稳定性longitudinal stress 纵向应力longitudinal tension 纵向应力longitudinal velocity 纵向速度longitudinal wave 纵波longitudinally damped wave 纵向阻尼波loop 回线loop of the river 河曲loose axoide 活动锥面loosening of soil 土壤膨松lorentz force 洛伦兹力lorentz transformation 洛伦兹变换lorentz's invariant 洛伦兹不变量loss 损失loss factor 损失率loss function 损失函数loss modulus 损失模量loss of head 水头抑损loss of pressure head 压头损失loss of velocity 速度损失lossy flow 损耗怜love wave 勒夫波low cycle fatigue 低循环疲劳low energy 低能的low frequency 低频low frequency wave 低频波low power 小功率的low pressure 低压low pressure branch 气旋分支low pressure cylinder 低压汽缸low pressure physics 低压物理学low pressure piston 低压活塞low pressure stage 低压级low speed wind tunnel 低速风洞low temperature 低温low temperature brittleness 低温脆性low temperature plasma 低温等离子体low tide 低潮low water 低潮lower atmosphere 低层大气lower atmospheric layer 底层大气lower bound 下界lower critical 下临界的lower surface 下表面lower yield point 下屈服点lowering of pressure 压力下降lowering of temperature 温度下降lowering of the freezing point 凝固点下降lubricating film 润滑膜lubrication 润滑lumped mass 集中质量lumped parameter system 集中参数系统lunar gravity 月球重力lunar tidal wave 太阴潮汐波lunar tides 太阴潮lune 弓形。

振动方面的专业英语及词汇

振动方面的专业英语及词汇1 振动信号的时域、频域描述振动过程 (Vibration Process)简谐振动 (Harmonic Vibration)周期振动 (Periodic Vibration)准周期振动 (Ouasi-periodic Vibration)瞬态过程 (Transient Process)随机振动过程 (Random Vibration Process)各态历经过程 (Ergodic Process)确定性过程 (Deterministic Process)振幅 (Amplitude)相位 (Phase)初相位 (Initial Phase)频率 (Frequency)角频率 (Angular Frequency)周期 (Period)复数振动 (Complex Vibration)复数振幅 (Complex Amplitude)峰值 (Peak-value)平均绝对值 (Average Absolute Value)有效值 (Effective Value，RMS Value)均值 (Mean Value，Average Value)傅里叶级数 (FS，Fourier Series)傅里叶变换 (FT，Fourier Transform)傅里叶逆变换 (IFT，Inverse Fourier Transform)离散谱 (Discrete Spectrum)连续谱 (Continuous Spectrum)傅里叶谱 (Fourier Spectrum)线性谱 (Linear Spectrum)幅值谱 (Amplitude Spectrum)相位谱 (Phase Spectrum)均方值 (Mean Square Value)方差 (Variance)协方差 (Covariance)自协方差函数 (Auto-covariance Function)互协方差函数 (Cross-covariance Function)自相关函数 (Auto-correlation Function)互相关函数 (Cross-correlation Function)标准偏差 (Standard Deviation)相对标准偏差 (Relative Standard Deviation)概率 (Probability)概率分布 (Probability Distribution)高斯概率分布 (Gaussian Probability Distribution) 概率密度 (Probability Density)集合平均 (Ensemble Average)时间平均 (Time Average)功率谱密度 (PSD，Power Spectrum Density)自功率谱密度 (Auto-spectral Density)互功率谱密度 (Cross-spectral Density)均方根谱密度 (RMS Spectral Density)能量谱密度 (ESD，Energy Spectrum Density)相干函数 (Coherence Function)帕斯瓦尔定理 (Parseval''''s Theorem)维纳，辛钦公式 (Wiener-Khinchin Formula2 振动系统的固有特性、激励与响应振动系统 (Vibration System)激励 (Excitation)响应 (Response)单自由度系统 (Single Degree-Of-Freedom System) 多自由度系统 (Multi-Degree-Of- Freedom System) 离散化系统 (Discrete System)连续体系统 (Continuous System)刚度系数 (Stiffness Coefficient)自由振动 (Free Vibration)自由响应 (Free Response)强迫振动 (Forced Vibration)强迫响应 (Forced Response)初始条件 (Initial Condition)固有频率 (Natural Frequency)阻尼比 (Damping Ratio)衰减指数 (Damping Exponent)阻尼固有频率 (Damped Natural Frequency)对数减幅系数 (Logarithmic Decrement)主频率 (Principal Frequency)无阻尼模态频率 (Undamped Modal Frequency)模态 (Mode)主振动 (Principal Vibration)振型 (Mode Shape)振型矢量 (Vector Of Mode Shape)模态矢量 (Modal Vector)正交性 (Orthogonality)展开定理 (Expansion Theorem)主质量 (Principal Mass)模态质量 (Modal Mass)主刚度 (Principal Stiffness)模态刚度 (Modal Stiffness)正则化 (Normalization)振型矩阵 (Matrix Of Modal Shape)模态矩阵 (Modal Matrix)主坐标 (Principal Coordinates)模态坐标 (Modal Coordinates)模态分析 (Modal Analysis)模态阻尼比 (Modal Damping Ratio)频响函数 (Frequency Response Function)幅频特性 (Amplitude-frequency Characteristics)相频特性 (Phase frequency Characteristics)共振 (Resonance)半功率点 (Half power Points)波德图(Bodé Plot)动力放大系数 (Dynamical Magnification Factor)单位脉冲 (Unit Impulse)冲激响应函数 (Impulse Response Function)杜哈美积分(Duhamel’s Integral)卷积积分 (Convolution Integral)卷积定理 (Convolution Theorem)特征矩阵 (Characteristic Matrix)阻抗矩阵 (Impedance Matrix)频响函数矩阵 (Matrix Of Frequency Response Function) 导纳矩阵 (Mobility Matrix)冲击响应谱 (Shock Response Spectrum)冲击激励 (Shock Excitation)冲击响应 (Shock Response)冲击初始响应谱 (Initial Shock Response Spectrum)冲击剩余响应谱 (Residual Shock Response Spectrum)冲击最大响应谱 (Maximum Shock Response Spectrum)冲击响应谱分析 (Shock Response Spectrum Analysis3 模态试验分析模态试验 (Modal Testing)机械阻抗 (Mechanical Impedance)位移阻抗 (Displacement Impedance)速度阻抗 (Velocity Impedance)加速度阻抗 (Acceleration Impedance)机械导纳 (Mechanical Mobility)位移导纳 (Displacement Mobility)速度导纳 (Velocity Mobility)加速度导纳 (Acceleration Mobility)驱动点导纳 (Driving Point Mobility)跨点导纳 (Cross Mobility)传递函数 (Transfer Function)拉普拉斯变换 (Laplace Transform)传递函数矩阵 (Matrix Of Transfer Function)频响函数 (FRF，Frequency Response Function)频响函数矩阵 (Matrix Of FRF)实模态 (Normal Mode)复模态 (Complex Mode)模态参数 (Modal Parameter)模态频率 (Modal Frequency)模态阻尼比 (Modal Damping Ratio)模态振型 (Modal Shape)模态质量 (Modal Mass)模态刚度 (Modal Stiffness)模态阻力系数 (Modal Damping Coefficient)模态阻抗 (Modal Impedance)模态导纳 (Modal Mobility)模态损耗因子 (Modal Loss Factor)比例粘性阻尼 (Proportional Viscous Damping)非比例粘性阻尼 (Non-proportional Viscous Damping)结构阻尼 (Structural Damping，Hysteretic Damping)复频率 (Complex Frequency)复振型 (Complex Modal Shape)留数 (Residue)极点 (Pole)零点 (Zero)复留数 (Complex Residue)随机激励 (Random Excitation)伪随机激励 (Pseudo Random Excitation)猝发随机激励 (Burst Random Excitation)稳态正弦激励 (Steady State Sine Excitation)正弦扫描激励 (Sweeping Sine Excitation)锤击激励 (Impact Excitation)频响函数的H1 估计 (FRF Estimate by H1)频响函数的H2 估计 (FRF Estimate by H2)频响函数的H3 估计 (FRF Estimate by H3)单模态曲线拟合法 (Single-mode Curve Fitting Method)多模态曲线拟合法 (Multi-mode Curve Fitting Method)模态圆 (Mode Circle)剩余模态 (Residual Mode)幅频峰值法 (Peak Value Method)实频-虚频峰值法 (Peak Real／Imaginary Method)圆拟合法 (Circle Fitting Method)加权最小二乘拟合法 (Weighting Least Squares Fitting method) 复指数拟合法 (Complex Exponential Fitting method)1.2 振动测试的名词术语1 传感器测量系统传感器测量系统 (Transducer Measuring System)传感器 (Transducer)振动传感器 (Vibration Transducer)机械接收 (Mechanical Reception)机电变换 (Electro-mechanical Conversion)测量电路 (Measuring Circuit)惯性式传感器 (Inertial Transducer，Seismic Transducer)相对式传感器 (Relative Transducer)电感式传感器 (Inductive Transducer)应变式传感器 (Strain Gauge Transducer)电动力传感器 (Electro-dynamic Transducer)压电式传感器 (Piezoelectric Transducer)压阻式传感器 (Piezoresistive Transducer)电涡流式传感器 (Eddy Current Transducer)伺服式传感器 (Servo Transducer)灵敏度 (Sensitivity)复数灵敏度 (Complex Sensitivity)分辨率 (Resolution)频率范围 (Frequency Range)线性范围 (Linear Range)频率上限 (Upper Limit Frequency)频率下限 (Lower Limit Frequency)静态响应 (Static Response)零频率响应 (Zero Frequency Response)动态范围 (Dynamic Range)幅值上限 Upper Limit Amplitude)幅值下限 (Lower Limit Amplitude)最大可测振级 (Max．Detectable Vibration Level)最小可测振级 (Min．Detectable Vibration Level)信噪比 (S/N Ratio)振动诺模图 (Vibration Nomogram)相移 (Phase Shift)波形畸变 (Wave-shape Distortion)比例相移 (Proportional Phase Shift)惯性传感器的稳态响应 (Steady Response Of Inertial Transducer)惯性传感器的稳击响应 (Shock Response Of Inertial Transducer)位移计型的频响特性 (Frequency Response Characteristics Vibrometer)加速度计型的频响特性 (Frequency Response Characteristics Accelerometer) 幅频特性曲线 (Amplitude-frequency Curve)相频特性曲线 (Phase-frequency Curve)固定安装共振频率 (Mounted Resonance Frequency)安装刚度 (Mounted Stiffness)有限高频效应 (Effect Of Limited High Frequency)有限低频效应 (Effect Of Limited Low Frequency)电动式变换 (Electro-dynamic Conversion)磁感应强度 (Magnetic Induction， Magnetic Flux Density)磁通 (Magnetic Flux)磁隙 (Magnetic Gap)电磁力 (Electro-magnetic Force)相对式速度传 (Relative Velocity Transducer)惯性式速度传感器 (Inertial Velocity Transducer)速度灵敏度 (Velocity Sensitivity)电涡流阻尼 (Eddy-current Damping)无源微(积)分电路 (Passive Differential (Integrate) Circuit) 有源微(积)分电路 (Active Differential (Integrate) Circuit) 运算放大器 (Operational Amplifier)时间常数 (Time Constant)比例运算 (Scaling)积分运算 (Integration)微分运算 (Differentiation)高通滤波电路 (High-pass Filter Circuit)低通滤波电路 (Low-pass Filter Circuit)截止频率 (Cut-off Frequency)压电效应 (Piezoelectric Effect)压电陶瓷 (Piezoelectric Ceramic)压电常数 (Piezoelectric Constant)极化 (Polarization)压电式加速度传感器 (Piezoelectric Acceleration Transducer) 中心压缩式 (Center Compression Accelerometer)三角剪切式 (Delta Shear Accelerometer)压电方程 (Piezoelectric Equation)压电石英 (Piezoelectric Quartz)电荷等效电路 (Charge Equivalent Circuit)电压等效电路 (Voltage Equivalent Circuit)电荷灵敏度 (Charge Sensitivity)电压灵敏度 (Voltage Sensitivity)电荷放大器 (Charge Amplifier)适调放大环节 (Conditional Amplifier Section)归一化 (Uniformization)电荷放大器增益 (Gain Of Charge Amplifier)测量系统灵敏度 (Sensitivity Of Measuring System)底部应变灵敏度 (Base Strain Sensitivity)横向灵敏度 (Transverse Sensitivity)地回路 (Ground Loop)力传感器 (Force Transducer)力传感器灵敏度 (Sensitivity Of Force Transducer)电涡流 (Eddy Current)前置器 (Proximitor)间隙-电压曲线 (Voltage vs Gap Curve)间隙-电压灵敏度 (Voltage vs Gap Sensitivity)压阻效应 (Piezoresistive Effect)轴向压阻系数 (Axial Piezoresistive Coefficient)横向压阻系数 (Transverse Piezoresistive Coefficient)压阻常数 (Piezoresistive Constant)单晶硅 (Monocrystalline Silicon)应变灵敏度 (Strain Sensitivity)固态压阻式加速度传感器 (Solid State Piezoresistive Accelerometer) 体型压阻式加速度传感器 (Bulk Type Piezoresistive Accelerometer) 力平衡式传感器 (Force Balance Transducer)电动力常数 (Electro-dynamic Constant)机电耦合系统 (Electro-mechanical Coupling System)2 检测仪表、激励设备及校准装置时间基准信号 (Time Base Signal)李萨茹图 (Lissojous Curve)数字频率计 (Digital Frequency Meter)便携式测振表 (Portable Vibrometer)有效值电压表 (RMS Value Voltmeter)峰值电压表 (Peak-value Voltmeter)平均绝对值检波电路 (Average Absolute Value Detector)峰值检波电路 (Peak-value Detector)准有效值检波电路 (Quasi RMS Value Detector)真有效值检波电路 (True RMS Value Detector)直流数字电压表 (DVM，DC Digital Voltmeter)数字式测振表 (Digital Vibrometer)A/D 转换器 (A/D Converter)D/A 转换器 (D/A Converter)相位计 (Phase Meter)电子记录仪 (Lever Recorder)光线示波器 (Oscillograph)振子 (Galvonometer)磁带记录仪 (Magnetic Tape Recorder)DR 方式(直接记录式) (Direct Recorder)FM 方式(频率调制式) (Frequency Modulation)失真度 (Distortion)机械式激振器 (Mechanical Exciter)机械式振动台 (Mechanical Shaker)离心式激振器 (Centrifugal Exciter)电动力式振动台 (Electro-dynamic Shaker)电动力式激振器 (Electro-dynamic Exciter)液压式振动台 (Hydraulic Shaker)液压式激振器 (Hydraulic Exciter)电液放大器 (Electro-hydraulic Amplifier)磁吸式激振器 (Magnetic Pulling Exciter)涡流式激振器 (Eddy Current Exciter)压电激振片 (Piezoelectric Exciting Elements)冲击力锤 (Impact Hammer)冲击试验台 (Shock Testing Machine)激振控制技术 (Excitation Control Technique)波形再现 (Wave Reproduction)压缩技术 (Compression Technique)均衡技术 (Equalization Technique)交越频率 (Crossover Frequency)综合技术 (Synthesis Technique)校准 (Calibration)分部校准 (Calibration for Components in system)系统校准 (Calibration for Over-all System)模拟传感器 (Simulated Transducer)静态校准 (Static Calibration)简谐激励校准 (Harmonic Excitation Calibration)绝对校准 (Absolute Calibration)相对校准 (Relative Calibration)比较校准 (Comparison Calibration)标准振动台 (Standard Vibration Exciter)读数显微镜法 (Microscope-streak Method)光栅板法 (Ronchi Ruling Method)光学干涉条纹计数法 (Optical Interferometer Fringe Counting Method)光学干涉条纹消失法 (Optical Interferometer Fringe Disappearance Method) 背靠背安装 (Back-to-back Mounting)互易校准法 (Reciprocity Calibration)共振梁 (Resonant Bar)冲击校准 (Impact Exciting Calibration)摆锤冲击校准 (Ballistic Pendulum Calibration)落锤冲击校准 (Drop Test Calibration)振动和冲击标准 (Vibration and Shock Standard)迈克尔逊干涉仪 (Michelson Interferometer)摩尔干涉图象 (Moire Fringe)参考传感器 (Reference Transducer)3 频率分析及数字信号处理带通滤波器 (Band-pass Filter)半功率带宽 (Half-power Bandwidth)3 dB 带宽 (3 dB Bandwidth)等效噪声带宽 (Effective Noise Bandwidth)恒带宽 (Constant Bandwidth)恒百分比带宽 (Constant Percentage Bandwidth)1/N 倍频程滤波器 (1/N Octave Filter)形状因子 (Shape Factor)截止频率 (Cut-off Frequency)中心频率 (Centre Frequency)模拟滤波器 (Analog Filter)数字滤波器 (Digital Filter)跟踪滤波器 (Tracking Filter)外差式频率分析仪 (Heterodyne Frequency Analyzer) 逐级式频率分析仪 (Stepped Frequency Analyzer)扫描式频率分析仪 (Sweeping Filter Analyzer)混频器 (Mixer)RC 平均 (RC Averaging)平均时间 (Averaging Time)扫描速度 (Sweeping Speed)滤波器响应时间 (Filter Response Time)离散傅里叶变换 (DFT，Discrete Fourier Transform) 快速傅里叶变换 (FFT，Fast Fourier Transform)抽样频率 (Sampling Frequency)抽样间隔 (Sampling Interval)抽样定理 (Sampling Theorem)抗混滤波 (Anti-aliasing Filter)泄漏 (Leakage)加窗 (Windowing)窗函数 (Window Function)截断 (Truncation)频率混淆 (Frequency Aliasing)乃奎斯特频率 (Nyquist Frequency)矩形窗 (Rectangular Window)汉宁窗 (Hanning Window)凯塞-贝塞尔窗 (Kaiser-Bessel Window)平顶窗 (Flat-top Window)平均 (Averaging)线性平均 (Linear Averaging)指数平均 (Exponential Averaging)峰值保持平均 (Peak-hold Averaging)时域平均 (Time-domain Averaging)谱平均 (Spectrum Averaging)重叠平均 (Overlap Averaging)栅栏效应 (Picket Fence Effect)吉卜斯效应 (Gibbs Effect)基带频谱分析 (Base-band Spectral Analysis)选带频谱分析 (Band Selectable Sp4ctralAnalysis) 细化 (Zoom)数字移频 (Digital Frequency Shift)抽样率缩减 (Sampling Rate Reduction)功率谱估计 (Power Spectrum Estimate)相关函数估计 (Correlation Estimate)频响函数估计 (Frequency Response Function Estimate) 相干函数估计 (Coherence Function Estimate)冲激响应函数估计 (Impulse Response Function Estimate) 倒频谱 (Cepstrum)功率倒频谱 (Power Cepstrum)幅值倒频谱 (Amplitude Cepstrum)倒频率 (Quefrency)4 旋转机械的振动测试及状态监测状态监测 (Condition Monitoring)故障诊断 (Fault Diagnosis)转子 (Rotor)转手支承系统 (Rotor-Support System)振动故障 (Vibration Fault)轴振动 (Shaft Vibration)径向振动 (Radial Vibration)基频振动 (Fundamental Frequency Vibration)基频检测 (Fundamental Frequency Component Detecting) 键相信号 (Key-phase Signal)正峰相位 (+Peak Phase)高点 (High Spot)光电传感器 (Optical Transducer)同相分量 (In-phase Component)正交分量 (Quadrature Component)跟踪滤波 (Tracking Filter)波德图 (Bode Plot)极坐标图 (Polar Plot)临界转速 (Critical Speed)不平衡响应 (Unbalance Response)残余振幅 (Residual Amplitude)方位角 (Attitude Angle)轴心轨迹 (Shaft Centerline Orbit)正进动 (Forward Precession)同步正进动 (Synchronous Forward Precession)反进动 (Backward Precession)正向涡动 (Forward Whirl)反向涡动 (Backward Whirl)油膜涡动 (Oil Whirl)油膜振荡 (Oil Whip)轴心平均位置 (Average Shaft Centerline Position)复合探头 (Dual Probe)振摆信号 (Runout Signal)电学振摆 (Electrical Runout)机械振摆 (Mechanical Runout)慢滚动向量 (Slow Roll Vector)振摆补偿 (Runout Compensation)故障频率特征 (Frequency Characteristics Of Fault) 重力临界 (Gravity Critical)对中 (Alignment)双刚度转子 (Dual Stiffness Rotor)啮合频率 (Gear-mesh Frequency)间入简谐分量 (Interharmonic Component)边带振动 (Side-band Vibration)三维频谱图 (Three Dimensional Spectral Plot)瀑布图 (Waterfall Plot)级联图 (Cascade Plot)阶次跟踪 (Order Tracking)阶次跟踪倍乘器 (Order Tracking Multiplier)监测系统 (Monitoring System)适调放大器 (Conditional Amplifier)趋势分析 (Trend Analysis)倒频谱分析 (Cepstrum Analysis)直方图 (Histogram)确认矩阵 (Confirmation Matrix)通频幅值 (Over-all Amplitude)幅值谱 (Amplitude Spectrum)相位谱 (Phase Spectrum)报警限 (Alarm Level)。

偏微分方程中的英文单词和短语

Partial Differential Equations
第一章
Chapter 1 Derivation and Classification of Partial Differential Equations
偏微分方程
partial differential equation
波动方程
wave equation
狄利克雷问题
Dirichlet problem
第二边值问题
second boundary value problem
纽曼问题
Neumann problem
第三边值问题
third boundary value problem
第四边值问题
fourth boundary value problem
调和方程
球面均值法
spherical means method
泊松公式
Poisson formula
降维法
method of descent
齐次化原理
homogenization principle
推迟势
retarded potential
第三章
Chapter 3 Methods of Separation of Variables
勒让德函数
Legendre function
勒让德方程
Legendre equation
第五章
Chapter 5 Boundary Value Problems
亥姆霍兹方程
Helmholtz equation
定态薛定谔方程
stationarySchrodinger equation
第一边值问题

高阶中立型拟性偏泛函微分方程系统的强迫振动性

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１期８
张艳青，：等高阶中立型拟性偏泛函微分方程系统的强迫振动性
摘
要
采用一种新方法研究一类高阶中立型拟线性偏泛函微分方程系统的强迫振动性，得到了一些充分性条件。高阶拟线性偏泛函数分方程系统
关键词强迫振动性
中图法分类号
０５．；１７５
文献标识码
Ａ

自动控制原理专业词汇中英文对照

自动控制原理专业词汇中英文对照自动控制原理专业词汇中英文对照中文英文自动控制automatic control；cybernation 自动控制系统automatic control system自动控制理论 automatic control theory经典控制理论 classical control theory现代控制理论 modern control theory智能控制理论intelligent control theory 开环控制open-loop control闭环控制 closed-loop control输入量 input输出量 output给定环节 given unit/element比较环节 comparing unit/element放大环节 amplifying unit/element执行环节 actuating unit/element控制环节 controlling unit/element被控对象 (controlled) plant反馈环节 feedback unit/element控制器 controller扰动/干扰 perturbance/disturbance前向通道 forward channel反馈通道feedback channel 恒值控制系统constant control system随动控制系统servo/drive control system 程序控制系统programmed control system 连续控制系统continuous control system离散控制系统 discrete control system线性控制系统 linear control system非线性控制系统 nonlinear control system定常/时不变控制系统time-invariant control system 时变控制系统 time-variant control system 稳定性 stability快速性 rapidity准确性 accuracy数学模型 mathematical model微分方程 differential equation非线性特性 nonlinear characteristic线性化处理 linearization processing泰勒级数 Taylor series传递函数 transfer function比例环节 proportional element积分环节 integrating element一阶惯性环节 first order inertial element二阶惯性环节 second order inertial element二阶震荡环节second order oscillation element 微分环节differentiation element一阶微分环节 first order differentiation element二阶微分环节 second order differentiation element 延迟环节delay element动态结构图 dynamic structure block串联环节 serial unit并联环节 parallel unit信号流图 signal flow graph梅逊增益公式Mason’s gain formula时域分析法 time domain analysis method性能指标 performance index阶跃函数 step function斜坡函数 ramp function抛物线函数 parabolic function /acceleration function 冲击函数impulse function正弦函数 sinusoidal function动态/暂态响应 transient response静态/稳态响应 steady-state response 延迟时间 delay time上升时间 rise time峰值时间 peak time调节时间 settling time最大超调量 maximum overshoot稳态误差 steady-state error无阻尼 undamping欠阻尼 underdamping过阻尼 overdamping特征根 eigen root极点 pole零点 zero实轴 real axis虚轴 imaginary axis 稳态/静态分量 steady-state component 瞬态/暂态/动态分量transient component 运动模态motion mode衰减 attenuation系数 coefficient初相角 initial phase angle响应曲线 response curve主导极点 dominant pole 劳斯稳定判据 Routh stability criterion S平面 S plane胡尔维茨稳定判据Hurwitz stability criterion 测量误差measurement error扰动误差 agitation error结构性误差 structural error偏差 deviation根轨迹 root locus 常规根轨迹 routine root locus根轨迹方程 root locus equation 幅值 magnitude幅角 argument对称性 symmetry分离点 separation/break away point会合点 meeting/break-in point渐近线 asymptote出射角 emergence angle/angle of departure入射角incidence angle/angle of arrival 广义根轨迹generalized root locus零度根轨迹zero degree root locus 偶极子dipole/zero-pole pair 频域分析法frequency-domain analysis method 频率特性frequency characteristic极坐标系 polar coordinate system直角坐标系 rectangular coordinate system幅频特性 magnitude-frequency characteristic相频特性phase-frequency characteristic 幅相频率特性magnitude-phase frequency characteristic 最小相位系统minimum phase system非最小相位系统 nonminimum phase system奈奎斯特稳定判据Nyquist stability criterion 伯德定理Bode theorem稳定裕度 stability margin幅值裕度 magnitude margin 相位/相角裕度 phase margin对数幅频特性 log magnitude-frequency characteristic 无阻尼自然震荡角频率 undamped oscillation angular frequency 阻尼震荡角频率damped oscillation angular frequency 阻尼角damping angle带宽频率bandwidth frequency 穿越/截止频率crossover/cutoff frequency 谐振峰值 resonance peak系统校正 system compensation超前校正 lead compensation滞后校正 lag compensation自激震荡 self-excited oscillation死区特性 dead zone characteristic饱和特性 saturation characteristic间隙特性 backlash characteristic描述函数法 describing function method相平面法 phase plane method 采样控制系统 sampling control system数字控制系统 digital control system频谱 frequency spectrum 采样定理 sampling theorem信号重现 signal recurrence拉氏变换 Laplace transformZ变换 Z transform终值定理 final-value theorem差分方程 difference equation迭代法 iterative method 脉冲传递函数 pulse transfer function 零阶保持器 zero-order holder映射 mapping方框图 block diagram伯德图 Bode diagram特征方程 characteristic equation可控性 controllability临界阻尼 critical damping阻尼常数 damping constant阻尼比 damping ratio初始状态 initial state初值定理 initial-value theorem反Z变换 inverse Z-transformation负反馈 negative feedback正反馈 positive feedback 尼科尔斯图 Nichols chart部分分式展开partial fraction expansion 幅角原理argument principle相对稳定性 relative stability共振频率 resonant frequency劳斯表 Routh tabulation/array奇点 singularity渐进稳定性 asymptotic stability控制精度 control accuracy临界稳定性 critical stability耦合 coupling解耦 decoupling比例积分微分调节器proportional integral derivative regulator(PID) 串联校正 series/cascade compensation 单输入单输出 single input single output(SISO)多输入多输出 multi input multi output(MIMO)低通滤波器 low pass filter非线性系统 nonlinear system复合控制 compound control衰减振荡 damped oscillation主反馈 monitoring feedback 转折(交接)频率 break frequency 稳定焦点/节点 stable focus/node。

《自动控制原理》部分中英文词汇对照表(英文解释)

《自动控制原理》部分中英文词汇对照表AAcceleration 加速度Angle of departure分离角Asymptotic stability渐近稳定性Automation自动化Auxiliary equation辅助方程BBacklash间隙Bandwidth带宽Block diagram方框图Bode diagram波特图CCauchy’s theorem高斯定理Characteristic equation特征方程Closed-loop control system闭环控制系统Constant常数Control system控制系统Controllability可控性Critical damping临界阻尼DDamping constant阻尼常数Damping ratio阻尼比DC control system直流控制系统Dead zone死区Delay time延迟时间Derivative control 微分控制Differential equations微分方程Digital computer compensator数字补偿器Dominant poles主导极点Dynamic equations动态方程EError coefficients误差系数Error transfer function误差传递函数FFeedback反馈Feedback compensation反馈补偿Feedback control systems反馈控制系统Feedback signal反馈信号Final-value theorem终值定理Frequency-domain analysis频域分析Frequency-domain design频域设计Friction摩擦GGain增益Generalized error coefficients广义误差系数IImpulse response脉冲响应Initial state初始状态Initial-value theorem初值定理Input vector输入向量Integral control积分控制Inverse z-transformation反Z变换JJordan block约当块Jordan canonical form约当标准形LLag-lead controller滞后-超前控制器Lag-lead network 滞后-超前网络Laplace transform拉氏变换Lead-lag controller超前-滞后控制器Linearization线性化Linear systems线性系统MMass质量Mathematical models数学模型Matrix矩阵Mechanical systems机械系统NNatural undamped frequency自然无阻尼频率Negative feedback负反馈Nichols chart尼科尔斯图Nonlinear control systems非线性控制系统Nyquist criterion柰奎斯特判据OObservability可观性Observer观测器Open-loop control system开环控制系统Output equations输出方程Output vector输出向量PParabolic input抛物线输入Partial fraction expansion部分分式展开PD controller比例微分控制器Peak time峰值时间Phase-lag controller相位滞后控制器Phase-lead controller相位超前控制器Phase margin相角裕度PID controller比例、积分微分控制器Polar plot极坐标图Poles definition极点定义Positive feedback正反馈Prefilter 前置滤波器Principle of the argument幅角原理RRamp error constant斜坡误差常数Ramp input斜坡输入Relative stability相对稳定性Resonant frequency共振频率Rise time上升时间调节时间 accommodation timeRobust system鲁棒系统Root loci根轨迹Routh tabulation（array）劳斯表SSampling frequency采样频率Sampling period采样周期Second-order system二阶系统Sensitivity灵敏度Series compensation串联补偿Settling time调节时间Signal flow graphs信号流图Similarity transformation相似变换Singularity奇点Spring弹簧Stability稳定性State diagram状态图State equations状态方程State feedback状态反馈State space状态空间State transition equation状态转移方程State transition matrix状态转移矩阵State variables状态变量State vector状态向量Steady-state error稳态误差Steady-state response稳态响应Step error constant阶跃误差常数Step input阶跃输入TTime delay时间延迟Time-domain analysis时域分析Time-domain design时域设计Time-invariant systems时不变系统Time-varying systems时变系统Type number型数Torque constant扭矩常数Transfer function转换方程Transient response暂态响应Transition matrix转移矩阵UUnit step response单位阶跃响应VVandermonde matrix范德蒙矩阵Velocity control system速度控制系统Velocity error constant速度误差常数ZZero-order hold零阶保持z-transfer function Z变换函数z-transform Z变换欢迎您的下载，资料仅供参考！致力为企业和个人提供合同协议，策划案计划书，学习课件等等打造全网一站式需求。

高阶非线性泛函方程解的振动准则

基金项目：国家自然科学基金（
第4期
徐艳芬等:高阶非线性泛函方程解的振动准则
71
令 /( r ) =
r -W
+1，则通过求导讨论可以得到:/( r ) = (r -W +1)z =
l-gU
+ l)/，令 / ( r )=〇， r = (U + l )
^ ] 处取得最值。经过验算， /( r )在
由归纳法，有：％ < V + i (o )彡
n y =i
/?(,(〇)%(茗（〇)“ = ， 2 , …， m
(4)
把方程式(4)式代入方程式(1)得：
〇 c(g(t))^p(t)x(t) + Q(t)x(g(t))f{[
i=l j=l
IT
由假设可以有：％ (尽（ 0)^： /?(0^； (0 +也（尽（ 0) 或者：
r = ((K + 1
) ] 时取到最大值。
从上述论述中可以得到第一个振动准则：定理 1 假设 maX /( r ) < j p，则方程式(1)一切解振动。
注 :当
w= ^
= ^ = 1 时，定理 1 即为参考文献[1]的定理 :若柯 >
j ，贝 ! J方程％(尽（〇=/?(%)^； (〇 +
1
=1;函数 P ， ( ？： /— /?+=(0,
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如果函数使得
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forcing oscillation物理含义

forcing oscillation物理含义
在物理中，forcing oscillation（强迫振动）通常指的是一个系统在受到周期性外力的作用下的振动行为。

这个周期性外力（也被称为强迫函数或激励函数）可以由其他系统的振动、声音、电磁场变化、化学反应过程等等产生。

当这个周期性外力的频率与系统的自然频率（即在没有外部激励的情况下，系统自己振动的频率）相近或者成整数倍关系时，系统将产生共振，此时系统的振动幅度会显著增加，这可能会带来积极（例如，共振可以用于驱动机械系统，如扬声器）或消极（例如，共振可以导致桥梁等结构的破坏）的影响。

此外，强迫振动也可以用来描述在混沌理论和非线性动力学中，当一个系统受到微小扰动时，其行为可能会产生的复杂、不可预测的变化。

例如，一个简单的线性弹簧振荡器在受到持续的微小扰动时，其运动轨迹可能会变为一个复杂的驼峰形状或者其它非线性形状。

微积分专有名词中英文对照

微积分专有名词中英文对照absolutely convergent 绝对收敛absolute value 绝对值algebraic function 代数函数analytic geometry 解析几何antiderivative 不定积分approximate integration 近似积分approximation 近似法、逼近法arbitrary constant 任意常数arithmetic series/progression (AP)算数级数asymptotes (vertical and horizontal)(垂直/水平)渐近线average rate of change 平均变化率base 基数binomial theorem 二项式定理，二项展开式Cartesian coordinates 笛卡儿坐标(一般指直角坐标) Cartesian coordinates system 笛卡儿坐标系Cauch’s Mean Value Theorem 柯西均值定理chain rule 链式求导法则calculus 微积分学closed interval integral 闭区间积分coefficient 系数composite function 复合函数conchoid 蚌线continuity (函数的)连续性concavity (函数的)凹凸性conditionally convergent 有条件收敛continuity 连续性critical point 临界点cubic function 三次函数cylindrical coordinates 圆柱坐标decreasing function 递减函数decreasing sequence 递减数列definite integral 定积分derivative 导数determinant 行列式differential coefficient 微分系数differential equation 微分方程directional derivative 方向导数discontinuity 不连续性discriminant (二次函数)判别式disk method 圆盘法divergence 散度divergent 发散的domain 定义域dot product 点积double integral 二重积分ellipse 椭圆ellipsoid 椭圆体epicycloid 外摆线Euler's method (BC)欧拉法expected valued 期望值exponential function 指数函数extreme value heorem 极值定理factorial 阶乘finite series 有限级数fundamental theorem of calculus 微积分基本定理geometric series/progression (GP)几何级数gradient 梯度Green formula 格林公式half-angle formulas 半角公式harmonic series 调和级数helix 螺旋线higher derivative 高阶导数horizontal asymptote 水平渐近线horizontal line 水平线hyperbola 双曲线hyper boloid 双曲面implicit differentiation 隐函数求导implicit function 隐函数improper integral 广义积分、瑕积分increment 增量increasing function 增函数indefinite integral 不定积分independent variable 自变数inequality 不等式ndeterminate form 不定型infinite point 无穷极限infinite series 无穷级数infinite series 无限级数inflection point (POI) 拐点initial condition 初始条件instantaneous rate of change 瞬时变化率integrable 可积的integral 积分integrand 被积分式integration 积分integration by part 分部积分法intercept 截距intermediate value of Theorem ：中间值定理inverse function 反函数irrational function 无理函数iterated integral 逐次积分Laplace transform 拉普拉斯变换law of cosines 余弦定理least upper bound 最小上界left-hand derivative 左导数left-hand limit 左极限L'Hospital's rule 洛必达法则limacon 蚶线linear approximation 线性近似法linear equation 线性方程式linear function 线性函数linearity 线性linearization 线性化local maximum 极大值local minimum 极小值logarithmic function 对数函数MacLaurin series 麦克劳林级数maximum 最大值mean value theorem (MVT)中值定理minimum 最小值method of lagrange multipliers 拉格朗日乘数法modulus 绝对值multiple integral 多重积分multiple 倍数multiplier 乘子octant 卦限open interval integral 开区间积分optimization 优化法，极值法origin 原点orthogonal 正交parametric equation (BC)参数方程partial derivative 偏导数partial differential equation 偏微分方程partial fractions 部分分式piece-wise function 分段函数parabola 抛物线parabolic cylinder 抛物柱面paraboloid ：抛物面parallelepiped 平行六面体parallel lines 并行线parameter ：参数partial integration 部分积分partiton ：分割period ：周期periodic function 周期函数perpendicular lines 垂直线piecewise defined function 分段定义函数plane 平面point of inflection 反曲点point-slope form 点斜式polar axis 极轴polar coordinates 极坐标polar equation 极坐标方程pole 极点polynomial 多项式power series 幂级数product rule 积的求导法则quadrant 象限quadratic functions 二次函数quotient rule 商的求导法则radical 根式radius of convergence 收敛半径range 值域(related) rate of change with time (时间)变化率rational function 有理函数reciprocal 倒数remainder theorem 余数定理Riemann sum 黎曼和Riemannian geometry 黎曼几何right-hand limit 右极限Rolle's theorem 罗尔(中值)定理root 根rotation 旋转secant line 割线second derivative 二阶导数second derivative test 二阶导数试验法second partial derivative 二阶偏导数series 级数shell method (积分)圆筒法sine function 正弦函数singularity 奇点slant 母线slant asymptote 斜渐近线slope 斜率slope-intercept equation of a line 直线的斜截式smooth curve 平滑曲线smooth surface 平滑曲面solid of revolution 旋转体symmetry 对称性substitution 代入法、变量代换tangent function 正切函数tangent line 切线tangent plane 切(平)面tangent vector 切矢量taylor's series 泰勒级数three-dimensional analytic geometry 空间解析几何total differentiation 全微分trapezoid rule 梯形(积分)法则。

一类高阶非线性泛函方程的振动准则

一类高阶非线性泛函方程的振动准则戴丽娜;林全文【期刊名称】《肇庆学院学报》【年(卷),期】2012(033)002【摘要】研究了变系数高阶非线性泛函方程x（g（t））=P（t）x（t）＋m∑im1 Qi（t）x（gK＋i（t））,的解的振动性。

得到了一些新的振动准则．所得蛄论推广了目前已有结果，此外，给出了新振动准则在差分方程中的一些应用．%This paper studies the oscillation of the solutions of high order nonlinear functional equation with variable coefficientsx（g（t））=P（t）x（t）＋m∑im1 Qi（t）x（gK＋i（t））and some new oscillation criteria are obtained. The researches in this paper extend or improve some existent results at present. Some applications of differential equation are given.【总页数】6页(P13-18)【作者】戴丽娜;林全文【作者单位】广东石油化工学院理学院．广东茂名525000;广东石油化工学院理学院．广东茂名525000【正文语种】中文【中图分类】O175.7【相关文献】1.带有振动系数的一类高阶中立型非线性受迫微分方程的振动准则 [J], 王国巧;邢文雅2.一类具连续分布滞量的高阶非线性中立型偏微分方程的振动准则 [J], 罗李平;欧阳自根3.一类高阶线性泛函方程的振动准则 [J], 戴丽娜;伍思敏;林全文;苏新晓;;;;4.高阶非线性泛函方程解的振动准则 [J], 徐艳芬;戴丽娜;伍思敏;曾世轩5.高阶非线性泛函方程解的振动准则 [J], 徐艳芬;戴丽娜;伍思敏;曾世轩;因版权原因，仅展示原文概要，查看原文内容请购买。