proe各种曲线方程

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[整理]proe中各种曲线方程.

[整理]proe中各种曲线方程.

Pro/E 各种曲线方程集合1.碟形弹簧圓柱坐标方程:r = 5theta = t*3600z =(sin(3.5*theta-90))+24*t[快车下载]1.jpg:2.葉形线.笛卡儿坐標标方程:a=10x=3*a*t/(1+(t^3))y=3*a*(t^2)/(1+(t^3))[快车下载]2.jpg:3.螺旋线(Helical curve) 圆柱坐标(cylindrical)方程:r=ttheta=10+t*(20*360)z=t*3[快车下载]3.jpg:4.蝴蝶曲线球坐标方程:rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 8[快车下载]4.jpg:5.渐开线采用笛卡尔坐标系方程:r=1ang=360*ts=2*pi*r*tx0=s*cos(ang)y0=s*sin(ang)x=x0+s*sin(ang)y=y0-s*cos(ang)z=0[快车下载]5.jpg:6.螺旋线.笛卡儿坐标方程:x = 4 * cos ( t *(5*360)) y = 4 * sin ( t *(5*360))z = 10*t[快车下载]6.jpg:7.对数曲线笛卡尔坐标系方程:z=0x = 10*ty = log(10*t+0.0001) [快车下载]7.jpg:8.球面螺旋线采用球坐标系方程:rho=4theta=t*180phi=t*360*20[快车下载]8.jpg:9.双弧外摆线卡迪尔坐标方程:l=2.5b=2.5x=3*b*cos(t*360)+l*cos(3*t*360) Y=3*b*sin(t*360)+l*sin(3*t*360) [快车下载]9.jpg:10.星行线卡迪尔坐标方程:a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^3[快车下载]10.jpg:11.心脏线圓柱坐标方程:a=10r=a*(1+cos(theta)) theta=t*360[快车下载]11.jpg:12.圆内螺旋线采用柱座标系方程:theta=t*360r=10+10*sin(6*theta)z=2*sin(6*theta)[快车下载]12.jpg:13.正弦曲线笛卡尔坐标系方程:x=50*ty=10*sin(t*360)z=0[快车下载]13.jpg:14.太阳线(这本来是做别的曲线的,结果做错了,就变成这样了)[快车下载]14.jpg:15.费马曲线(有点像螺纹线)数学方程:r*r = a*a*theta圓柱坐标方程1: theta=360*t*5a=4r=a*sqrt(theta*180/pi)方程2: theta=360*t*5a=4r=-a*sqrt(theta*180/pi)由于Pro/e只能做连续的曲线,所以只能分两次做[快车下载]15.jpg:16.Talbot 曲线卡笛尔坐标方程:theta=t*360a=1.1b=0.666c=sin(theta)f=1x = (a*a+f*f*c*c)*cos(theta)/ay = (a*a-2*f+f*f*c*c)*sin(theta)/b [快车下载]16.jpg:17.4叶线(一个方程做的,没有复制)[快车下载]17.jpg:18.Rhodonea 曲线采用笛卡尔坐标系方程:theta=t*360*4x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta) y=25+(10-6)*sin(theta)-6*sin((10/6-1)*theta)[快车下载]18.jpg:19. 抛物线笛卡儿坐标方程:x =(4 * t)y =(3 * t) + (5 * t ^2)z =0[快车下载]19.jpg:20.螺旋线圓柱坐标方程:r = 5theta = t*1800z =(cos(theta-90))+24*t[快车下载]20.jpg:我要自学网,打造专业软件视频教程21.三叶线圆柱坐标方程:a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)[快车下载]21.jpg:22.外摆线迪卡尔坐标方程:theta=t*720*5b=8a=5x=(a+b)*cos(theta)-b*cos((a/b+1)*theta) y=(a+b)*sin(theta)-b*sin((a/b+1)*theta) z=0[快车下载]22.jpg:23. Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c) y=b*sin(theta)[快车下载]23.jpg:24.长短幅圆内旋轮线卡笛尔坐标方程:a=5b=7c=2.2theta=360*t*10x=(a-b)*cos(theta)+c*cos((a/b-1)*theta) y=(a-b)*sin(theta)-c*sin((a/b-1)*theta) [快车下载]24.jpg:25.长短幅圆外旋轮线卡笛尔坐标方程:theta=t*360*10a=5b=3c=5x=(a+b)*cos(theta)-c*cos((a/b+1)*theta) y=(a+b)*sin(theta)-c*sin((a/b+1)*theta)[快车下载]25.jpg:26. 三尖瓣线a=10x = a*(2*cos(t*360)+cos(2*t*360)) y = a*(2*sin(t*360)-sin(2*t*360)) [快车下载]26.jpg:27.概率曲线!方程:笛卡儿坐标x = t*10-5y = exp(0-x^2)[快车下载]27.jpg:28.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2) [快车下载]28.jpg:29.阿基米德螺线柱坐标a=100theta = t*400r = a*theta[快车下载]29.jpg:30.对数螺线柱坐标theta = t*360*2.2a = 0.005r = exp(a*theta)[快车下载]30.jpg:我要自学网,打造专业软件视频教程31.蔓叶线笛卡儿坐标系a=10y=t*100-50solvex^3 = y^2*(2*a-x) for x[快车下载]31.jpg:32.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20)[快车下载]32.jpg:33.双曲余弦x = 6*t-3y = (exp(x)+exp(0-x))/2 [快车下载]33.jpg:34.双曲正弦x = 6*t-3y = (exp(x)-exp(0-x))/235.双曲正切x = 6*t-3y = (exp(x)-exp(0-x))/(exp(x)+exp(0-x)) [快车下载]35.jpg:36.一峰三驻点曲线x = 3*t-1.5y=(x^2-1)^3+137.八字曲线x = 2 * cos ( t *(2*180)) y = 2 * sin ( t *(5*360)) z = 0[快车下载]37.jpg:38.螺旋曲线r=t*(10*180)+1theta=10+t*(20*180)z=t[快车下载]38.jpg:39.圆x = cos ( t *(5*180)) y = sin ( t *(5*180))z = 0[快车下载]39.jpg:40.封闭球形环绕曲线rho=2theta=360*tphi=t*360*10[快车下载]40.jpg:41.柱坐标螺旋曲线x = 100*t * cos ( t *(5*180)) y = 100*t * sin ( t *(5*180)) z = 0[快车下载]41.jpg:42.蛇形曲线x = 2 * cos ( (t+1) *(2*180)) y = 2 * sin ( t *(5*360))z = t*(t+1)[快车下载]42.jpg:43.8字形曲线柱坐标theta = t*360r=10+(8*sin(theta))^2[快车下载]43.jpg:44.椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta)y = b*sin(theta)[快车下载]44.jpg:45.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5))^2 [快车下载]45.jpg:46.另一个花曲线theta = t*360r=10-(3*sin(theta*3))^2z=4*sin(theta*3)^2[快车下载]46.jpg:47.改一下就成为空间感更强的花曲线了;) theta = t*360r=10-(3*sin(theta*3))^2z=(r*sin(theta*3))^2[快车下载]47.gif:48.螺旋上升的椭圆线a = 10b = 20theta = t*360*3x = a*cos(theta)y = b*sin(theta)z=t*12[快车下载]48.jpg:49.甚至这种螺旋花曲线theta = t*360*4r=10+(3*sin(theta*2.5))^2 z = t*16[快车下载]49.jpg:50 鼓形线笛卡尔方程r=5+3.3*sin(t*180)+ttheta=t*360*10z=t*10[快车下载]50.jpg:51 长命锁曲线笛卡尔方程:a=1*t*359.5b=q2*t*360c=q3*t*360rr1=w1rr2=w2rr3=w3x=rr1*cos(a)+rr2*cos(b)+rr3*cos(c) y=rr1*sin(a)+rr2*sin(b)+rr3*sin(c)[快车下载]51.jpg:<script src="/icax_gg.php?pos=Ncontent" type="text/javascript"></script>52 簪形线球坐标方程:rho=200*ttheta=900*tphi=t*90*10[快车下载]52.jpg:53.螺旋上升曲线r=t^10theta=t^3*360*6*3+t^3*360*3*3 z=t^3*(t+1)[快车下载]53.jpg:54.蘑菇曲线rho=t^3+t*(t+1) theta=t*360phi=t^2*360*20*20[快车下载]54.jpg:55. 8字曲线a=1b=1x=3*b*cos(t*360)+a*cos(3*t*360) Y=b*sin(t*360)+a*sin(3*t*360)[快车下载]55.jpg:56.梅花曲线theta=t*360r=100+50*cos(5*theta) z=2*cos(5*theta)[快车下载]56.jpg:57.桃形曲线rho=t^3+t*(t+1) theta=t*360phi=t^2*360*10*10 [快车下载]57.jpg:58.名稱:碟形弹簧建立環境:pro/e圓柱坐r = 5theta = t*3600z =(sin(3.5*theta-90))+24 [快车下载]58.jpg:59.环形二次曲线笛卡儿方程:x=50*cos(t*360)y=50*sin(t*360)z=10*cos(t*360*8)[快车下载]59.jpg:60 蝶线球坐标:rho=4*sin(t*360)+6*cos(t*360^2) theta=t*360phi=log(1+t*360)*t*360[快车下载]60.jpg:61.正弦周弹簧笛卡尔:ang1=t*360ang2=t*360*20x=ang1*2*pi/360y=sin(ang1)*5+cos(ang2) z=sin(ang2)[快车下载]61.jpg:62.环形螺旋线x=(50+10*sin(t*360*15))*cos(t*360) y=(50+10*sin(t*360*15))*sin(t*360)z=10*cos(t*360*5)[快车下载]62.jpg:63.内接弹簧x=2*cos(t*360*10)+cos(t*180*10) y=2*sin(t*360*10)+sin(t*180*10) z=t*6[快车下载]63.jpg:64.多变内接式弹簧x=3*cos(t*360*8)-1.5*cos(t*480*8) y=3*sin(t*360*8)-1.5*sin(t*480*8)z=t*8[快车下载]64.jpg:65.柱面正弦波线柱坐标:方程r=30theta=t*360z=5*sin(5*theta-90)[快车下载]65.jpg:66. ufo (漩涡线)球坐标:rho=t*20^2 theta=t*log(30)*60 phi=t*7200[快车下载]66.jpg:67. 手把曲线thta0=t*360 thta1=t*360*6r0=400r1=40r=r0+r1*cos(thta1) x=r*cos(thta0)y=r1*sin(thta1)z=0[快车下载]67.jpg:68.篮子圆柱坐标r=5+0.3*sin(t*180)+ttheta=t*360*30z=t*5[快车下载]68.gif:69. 圆柱齿轮齿廓的渐开线方程:x=10*cos(afa)+pi*10*afa/180*sin(afa)x=10*sin(afa)-pi*10*afa/180*cos(afa)z=0注:afa为压力角,取值范围是0到60,10为基圆半径。

PROE中的方程式

PROE中的方程式

1.碟形弹簧圓柱坐标方程:r= 5 t h e t a=t*3600 z=(s i n(3.5*t h e t a-90))+24*t此主题相关图片如下:1.j p g2.葉形线.笛卡儿坐標标方程:a=10x=3*a*t/(1+(t^3))y=3*a*(t^2)/(1+(t^3))此主题相关图片如下:2.jpg3.螺旋线(Helical curve)圆柱坐标(cylindrical)方程:r=ttheta=10+t*(20*360)z=t*3此主题相关图片如下:3.jpg4.蝴蝶曲线球坐标方程:rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 8此主题相关图片如下:4.jpg5.渐开线采用笛卡尔坐标系方程:r=1ang=360*ts=2*pi*r*tx0=s*cos(ang)y0=s*sin(ang)x=x0+s*sin(ang)y=y0-s*cos(ang)z=0此主题相关图片如下:5.jpg6.螺旋线.笛卡儿坐标方程:x = 4 * cos ( t *(5*360)) y = 4 * sin ( t *(5*360))z = 10*t此主题相关图片如下:6.jpg7.对数曲线笛卡尔坐标系方程:z=0x = 10*ty = log(10*t+0.0001)此主题相关图片如下:7.jpg8.球面螺旋线采用球坐标系方程:rho=4theta=t*180phi=t*360*20此主题相关图片如下:8.jpg9.双弧外摆线卡迪尔坐标方程:l=2.5b=2.5x=3*b*cos(t*360)+l*cos(3*t*360) Y=3*b*sin(t*360)+l*sin(3*t*360)此主题相关图片如下:9.jpg10.星行线卡迪尔坐标方程:a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^3此主题相关图片如下:10.jpg11.心脏线圓柱坐标方程:a=10r=a*(1+cos(theta))theta=t*360此主题相关图片如下:11.jpg12.圆内螺旋线采用柱座标系方程:theta=t*360r=10+10*sin(6*theta)z=2*sin(6*theta)此主题相关图片如下:12.jpg13.正弦曲线笛卡尔坐标系方程:x=50*ty=10*sin(t*360)z=0此主题相关图片如下:13.jpg14.太阳线(这本来是做别的曲线的,结果做错了,就变成这样了)此主题相关图片如下:14.jpg15.费马曲线(有点像螺纹线)数学方程:r*r = a*a*theta圓柱坐标方程1: theta=360*t*5a=4r=a*sqrt(theta*180/pi)方程2: theta=360*t*5a=4r=-a*sqrt(theta*180/pi)由于Pro/e只能做连续的曲线,所以只能分两次做此主题相关图片如下:15.jpg16.Talbot 曲线卡笛尔坐标方程:theta=t*360a=1.1b=0.666c=sin(theta)f=1x = (a*a+f*f*c*c)*cos(theta)/ay = (a*a-2*f+f*f*c*c)*sin(theta)/b此主题相关图片如下:16.jpg17.4叶线(一个方程做的,没有复制)此主题相关图片如下:17.jpg18.Rhodonea 曲线采用笛卡尔坐标系方程:theta=t*360*4x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta) y=25+(10-6)*sin(theta)-6*sin((10/6-1)*theta)此主题相关图片如下:18.jpg19. 抛物线笛卡儿坐标方程:x =(4 * t)y =(3 * t) + (5 * t ^2)z =0此主题相关图片如下:19.jpg20.螺旋线圓柱坐标方程:r = 5theta = t*1800z =(cos(theta-90))+24*t此主题相关图片如下:20.jpg21.三叶线圆柱坐标方程:a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)此主题相关图片如下:21.jpg22.外摆线迪卡尔坐标方程:theta=t*720*5b=8a=5x=(a+b)*cos(theta)-b*cos((a/b+1)*theta) y=(a+b)*sin(theta)-b*sin((a/b+1)*theta) z=0此主题相关图片如下:22.jpg23. Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)此主题相关图片如下:23.jpg24.长短幅圆内旋轮线卡笛尔坐标方程:a=5b=7c=2.2theta=360*t*10x=(a-b)*cos(theta)+c*cos((a/b-1)*theta) y=(a-b)*sin(theta)-c*sin((a/b-1)*theta)此主题相关图片如下:24.jpg25.长短幅圆外旋轮线卡笛尔坐标方程:theta=t*360*10a=5b=3c=5x=(a+b)*cos(theta)-c*cos((a/b+1)*theta) y=(a+b)*sin(theta)-c*sin((a/b+1)*theta)此主题相关图片如下:25.jpg26. 三尖瓣线a=10x = a*(2*cos(t*360)+cos(2*t*360)) y = a*(2*sin(t*360)-sin(2*t*360))此主题相关图片如下:26.jpg27.概率曲线!方程:笛卡儿坐标x = t*10-5y = exp(0-x^2)此主题相关图片如下:27.jpg28.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2)此主题相关图片如下:28.jpg29.阿基米德螺线柱坐标a=100theta = t*400r = a*theta此主题相关图片如下:29.jpg30.对数螺线柱坐标theta = t*360*2.2a = 0.005r = exp(a*theta)此主题相关图片如下:30.jpg31.蔓叶线笛卡儿坐标系a=10y=t*100-50solvex^3 = y^2*(2*a-x)for x此主题相关图片如下:31.jpg32.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20)此主题相关图片如下:32.jpg33.双曲余弦x = 6*t-3y = (exp(x)+exp(0-x))/2此主题相关图片如下:33.jpg34.双曲正弦x = 6*t-3y = (exp(x)-exp(0-x))/2此主题相关图片如下:34.jpg35.双曲正切x = 6*t-3y = (exp(x)-exp(0-x))/(exp(x)+exp(0-x))此主题相关图片如下:35.jpg36.一峰三驻点曲线x = 3*t-1.5y=(x^2-1)^3+1此主题相关图片如下:36.jpg37.八字曲线x = 2 * cos ( t *(2*180))y = 2 * sin ( t *(5*360))z = 0此主题相关图片如下:37.jpg38.螺旋曲线r=t*(10*180)+1theta=10+t*(20*180)z=t此主题相关图片如下:38.jpg39.圆x = cos ( t *(5*180))y = sin ( t *(5*180))z = 0此主题相关图片如下:39.jpg40.封闭球形环绕曲线rho=2theta=360*tphi=t*360*10此主题相关图片如下:40.jpg41.柱坐标螺旋曲线x = 100*t * cos ( t *(5*180))y = 100*t * sin ( t *(5*180))z = 0此主题相关图片如下:41.jpg42.蛇形曲线x = 2 * cos ( (t+1) *(2*180))y = 2 * sin ( t *(5*360))z = t*(t+1)此主题相关图片如下:42.jpg43.8字形曲线柱坐标theta = t*360r=10+(8*sin(theta))^2此主题相关图片如下:43.jpg44.椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta)y = b*sin(theta)此主题相关图片如下:44.jpg45.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5))^2此主题相关图片如下:45.jpg46.另一个花曲线theta = t*360r=10-(3*sin(theta*3))^2z=4*sin(theta*3)^2此主题相关图片如下:46.jpg47.改一下就成为空间感更强的花曲线了;) theta = t*360r=10-(3*sin(theta*3))^2z=(r*sin(theta*3))^2此主题相关图片如下:47.gif48.螺旋上升的椭圆线a = 10b = 20theta = t*360*3x = a*cos(theta)y = b*sin(theta)z=t*12此主题相关图片如下:48.jpg49.甚至这种螺旋花曲线theta = t*360*4r=10+(3*sin(theta*2.5))^2z = t*16此主题相关图片如下:49.jpg50 鼓形线笛卡尔方程r=5+3.3*sin(t*180)+ttheta=t*360*10z=t*10此主题相关图片如下:50.jpg51 长命锁曲线笛卡尔方程:a=1*t*359.5b=q2*t*360c=q3*t*360rr1=w1rr2=w2rr3=w3x=rr1*cos(a)+rr2*cos(b)+rr3*cos(c)y=rr1*sin(a)+rr2*sin(b)+rr3*sin(c)此主题相关图片如下:51.jpgPro/E 各种曲线方程集合51 长命锁曲线笛卡尔方程:a=1*t*359.5b=q2*t*360c=q3*t*360此主题相关图片如下:53.螺旋上升曲线r=t^10theta=t^3*360*6*3+t^3*360*3*3 z=t^3*(t+1)此主题相关图片如下:53.jpg54.蘑菇曲线rho=t^3+t*(t+1)theta=t*360phi=t^2*360*20*20此主题相关图片如下:54.jpg55. 8字曲线a=1b=1x=3*b*cos(t*360)+a*cos(3*t*360) Y=b*sin(t*360)+a*sin(3*t*360)此主题相关图片如下:55.jpg56.梅花曲线theta=t*360r=100+50*cos(5*theta)z=2*cos(5*theta)此主题相关图片如下:56.jpg57.桃形曲线rho=t^3+t*(t+1)theta=t*360phi=t^2*360*10*10此主题相关图片如下:57.jpg58.名稱:碟形弹簧建立環境:pro/e圓柱坐r = 5theta = t*3600z =(sin(3.5*theta-90))+24此主题相关图片如下:58.jpg59.环形二次曲线笛卡儿方程:x=50*cos(t*360)y=50*sin(t*360)z=10*cos(t*360*8)此主题相关图片如下:59.jpg60 蝶线球坐标:rho=4*sin(t*360)+6*cos(t*360^2)theta=t*360phi=log(1+t*360)*t*360此主题相关图片如下:60.jpg61.正弦周弹簧笛卡尔:ang1=t*360ang2=t*360*20x=ang1*2*pi/360y=sin(ang1)*5+cos(ang2)z=sin(ang2)此主题相关图片如下:61.jpg62.环形螺旋线x=(50+10*sin(t*360*15))*cos(t*360) y=(50+10*sin(t*360*15))*sin(t*360) z=10*cos(t*360*5)此主题相关图片如下:62.jpg63.内接弹簧x=2*cos(t*360*10)+cos(t*180*10) y=2*sin(t*360*10)+sin(t*180*10) z=t*6此主题相关图片如下:63.jpg64.多变内接式弹簧x=3*cos(t*360*8)-1.5*cos(t*480*8)y=3*sin(t*360*8)-1.5*sin(t*480*8)z=t*8此主题相关图片如下:64.jpg65.柱面正弦波线柱坐标:方程r=30theta=t*360z=5*sin(5*theta-90)此主题相关图片如下:65.jpg66. ufo (漩涡线)球坐标:rho=t*20^2theta=t*log(30)*60phi=t*7200此主题相关图片如下:66.jpg67. 手把曲线thta0=t*360thta1=t*360*6r0=400r1=40r=r0+r1*cos(thta1)x=r*cos(thta0)y=r1*sin(thta1)z=0此主题相关图片如下:67.jpg68.篮子圆柱坐标r=5+0.3*sin(t*180)+ttheta=t*360*30z=t*5此主题相关图片如下:68.gif69. 圆柱齿轮齿廓的渐开线方程:afa=60*t。

PROE中各种曲线的方程

PROE中各种曲线的方程
z = 0
38.螺旋曲线
r=t*(10*180)+1
theta=10+t*(20*180)
z=t
39.圆
x = cos ( t *(5*180))
y = sin ( t *(5*180))
z = 0
40.封闭球形环绕曲线
rho=2
theta=360*t
phi=t*360*10
a=1.1
b=0.666
c=sin(theta)
f=1
x = (a*a+f*f*c*c)*cos(theta)/a
y = (a*a-2*f+f*f*c*c)*sin(theta)/b
18.Rhodonea 曲线
采用笛卡尔坐标系
方程:theta=t*360*4
x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta)
61.正弦周弹簧
笛卡尔:
ang1=t*360
ang2=t*360*20
x=ang1*2*pi/360
y=sin(ang1)*5+cos(ang2)
z=sin(ang2)
62.环形螺旋线
x=(50+10*sin(t*360*15))*cos(t*360)
y=(50+10*sin(t*360*15))*sin(t*360)
s=2*pi*r*t
x0=s*cos(ang)
y0=s*sin(ang)
x=x0+s*sin(ang)
y=y0-s*cos(ang)
z=0
6.螺旋线.

proe(creo)曲线方程式和详细表达式

proe(creo)曲线方程式和详细表达式

最全proe(creo)方程式曲线和表达式作者:登科螺旋曲线建立环境:Pro/E软件、笛卡尔坐标系半径是10,螺距是2,总长是20的螺旋线x=10*cos(t*10*360)y=10*sin(t*10*360)z=20*t名称:正弦曲线建立环境:Pro/E软件、笛卡尔坐标系x=50*ty=10*sin(t*360)z=0名称:螺旋线(Helical curve)建立环境:PRO/E;圆柱坐标(cylindrical)r=ttheta=10+t*(20*360)z=t*3蝴蝶曲线球坐标PRO/E方程:rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 8Rhodonea 曲线采用笛卡尔坐标系theta=t*360*4x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta) y=25+(10-6)*sin(theta)-6*sin((10/6-1)*theta) *********************************圆内螺旋线采用柱座标系theta=t*360r=10+10*sin(6*theta)z=2*sin(6*theta)渐开线的方程r=1ang=360*ts=2*pi*r*tx0=s*cos(ang)y0=s*sin(ang)x=x0+s*sin(ang)y=y0-s*cos(ang)z=0对数曲线z=0x = 10*ty = log(10*t+0.0001)球面螺旋线(采用球坐标系)rho=4theta=t*180phi=t*360*20名称:双弧外摆线卡迪尔坐标方程:l=2.5b=2.5x=3*b*cos(t*360)+l*cos(3*t*360)Y=3*b*sin(t*360)+l*sin(3*t*360)名称:星行线卡迪尔坐标方程:a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^3名稱:心臟線建立環境:pro/e,圓柱坐標a=10r=a*(1+cos(theta)) theta=t*360名稱:葉形線建立環境:笛卡儿坐標a=10x=3*a*t/(1+(t^3))y=3*a*(t^2)/(1+(t^3))笛卡儿坐标下的螺旋线x = 4 * cos ( t *(5*360)) y = 4 * sin ( t *(5*360)) z = 10*t一抛物线笛卡儿坐标x =(4 * t)y =(3 * t) + (5 * t ^2) z =0名稱:碟形弹簧建立環境:pro/e圓柱坐r = 5theta = t*3600z =(sin(3.5*theta-90))+24*t 费马曲线(有点像螺纹线)数学方程:r*r = a*a*theta圓柱坐标方程1: theta=360*t*5a=4r=a*sqrt(theta*180/pi)方程2: theta=360*t*5a=4r=-a*sqrt(theta*180/pi)由于Pro/e只能做连续的曲线,所以只能分两次做Talbot 曲线卡笛尔坐标方程:theta=t*360a=1.1b=0.666c=sin(theta)f=1x = (a*a+f*f*c*c)*cos(theta)/ay = (a*a-2*f+f*f*c*c)*sin(theta)/b.螺旋线圓柱坐标方程:r = 5theta = t*1800z =(cos(theta-90))+24*t三叶线圆柱坐标方程:a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)外摆线迪卡尔坐标方程:theta=t*720*5b=8a=5x=(a+b)*cos(theta)-b*cos((a/b+1)*theta)y=(a+b)*sin(theta)-b*sin((a/b+1)*theta)z=0Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)长短幅圆内旋轮线卡笛尔坐标方程:a=5b=7c=2.2theta=360*t*10x=(a-b)*cos(theta)+c*cos((a/b-1)*theta)y=(a-b)*sin(theta)-c*sin((a/b-1)*theta)长短幅圆外旋轮线卡笛尔坐标方程:theta=t*360*10a=5b=3c=5x=(a+b)*cos(theta)-c*cos((a/b+1)*theta)y=(a+b)*sin(theta)-c*sin((a/b+1)*theta)三尖瓣线a=10x = a*(2*cos(t*360)+cos(2*t*360)) y = a*(2*sin(t*360)-sin(2*t*360))概率曲线!方程:笛卡儿坐标x = t*10-5y = exp(0-x^2)箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2)阿基米德螺线柱坐标a=100theta = t*400r = a*theta对数螺线柱坐标theta = t*360*2.2 a = 0.005r = exp(a*theta)八字曲线x = 2 * cos ( t *(2*180))y = 2 * sin ( t *(5*360))z = 0螺旋曲线r=t*(10*180)+1theta=10+t*(20*180)z=t圆x = cos ( t *(5*180))y = sin ( t *(5*180))z = 0柱坐标螺旋曲线x = 100*t * cos ( t *(5*180))y = 100*t * sin ( t *(5*180))z = 0椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta)y = b*sin(theta)梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5))^2笛卡尔方程r=5+3.3*sin(t*180)+t theta=t*360*10z=t*10环形二次曲线笛卡儿方程:x=50*cos(t*360)y=50*sin(t*360)z=10*cos(t*360*8)x=(50+10*sin(t*360*15))*cos(t*360) y=(50+10*sin(t*360*15))*sin(t*360)z=10*cos(t*360*5)内接弹簧笛卡尔:x=2*cos(t*360*10)+cos(t*180*10)y=2*sin(t*360*10)+sin(t*180*10)z=t*6ufo (漩涡线)球坐标:rho=t*20^2theta=t*log(30)*60 phi=t*7200手把曲线笛卡尔:thta0=t*360thta1=t*360*6r0=400r1=40r=r0+r1*cos(thta1) x=r*cos(thta0)y=r1*sin(thta1)z=0圆柱坐标r=5+0.3*sin(t*180)+ttheta=t*360*30z=t*5篮子圆柱齿轮齿廓的渐开线方程:笛卡尔坐标afa=60*tx=10*cos(afa)+pi*10*afa/180*sin(afa)x=10*sin(afa)-pi*10*afa/180*cos(afa)z=0注:afa为压力角,取值范围是0到60,10为基圆半径笛卡尔:theta=t*360r=30+10*sin(theta*30) z=0太阳线r=1.5*cos(50*theta)+1 theta=t*360z=0迪卡尔坐标x=200*t*sin(t*3600) y=250*t*cos(t*3600) z=300*t*sin(t*1800)蕊theta = t*360r=5-(3*sin(theta*3))^2 z=(r*sin(theta*3))^2。

proe曲线方程式

proe曲线方程式

Pro/E 各种曲线方程集合1.碟形弹簧圓柱坐标方程:r = 5theta = t*3600z =(sin(3.5*theta-90>>+24*t2.葉形线.笛卡儿坐標标方程:a=10x=3*a*t/(1+(t^3>>y=3*a*(t^2>/(1+(t^3>>3.螺旋线(Helical curve>圆柱坐标<cylindrical)方程: r=ttheta=10+t*(20*360>z=t*34.蝴蝶曲线球坐标方程:rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 85.渐开线采用笛卡尔坐标系方程:r=1 ang=360*ts=2*pi*r*tx0=s*cos(ang>y0=s*sin(ang>x=x0+s*sin(ang>y=y0-s*cos(ang>z=06.螺旋线.笛卡儿坐标方程:x = 4 * cos ( t *(5*360>> y = 4 * sin ( t *(5*360>>z = 10*t7.对数曲线笛卡尔坐标系方程:z=0x = 10*ty = log(10*t+0.0001>8.球面螺旋线采用球坐标系方程:rho=4theta=t*180phi=t*360*209.双弧外摆线卡迪尔坐标方程: l=2.5b=2.5x=3*b*cos(t*360>+l*cos(3*t*360> Y=3*b*sin(t*360>+l*sin(3*t*360>10.星行线卡迪尔坐标方程:a=5x=a*(cos(t*360>>^3y=a*(sin(t*360>>^311.心脏线圓柱坐标方程:a=10r=a*(1+cos(theta>>theta=t*36022.外摆线迪卡尔坐标方程:theta=t*720*5b=8a=5x=(a+b>*cos(theta>-b*cos((a/b+1>*theta>y=(a+b>*sin(theta>-b*sin((a/b+1>*theta>z=023. Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c>y=b*sin(theta>24.长短幅圆内旋轮线卡笛尔坐标方程:a=5b=7c=2.2theta=360*t*10x=(a-b>*cos(theta>+c*cos((a/b-1>*theta>y=(a-b>*sin(theta>-c*sin((a/b-1>*theta>25.长短幅圆外旋轮线卡笛尔坐标方程:theta=t*360*10a=5b=3c=5x=(a+b>*cos(theta>-c*cos((a/b+1>*theta>y=(a+b>*sin(theta>-c*sin((a/b+1>*theta>26. 三尖瓣线a=10x = a*(2*cos(t*360>+cos(2*t*360>>y = a*(2*sin(t*360>-sin(2*t*360>>27.概率曲线方程:笛卡儿坐标x = t*10-5y = exp(0-x^2>28.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2>29.阿基M德螺线柱坐标a=100theta = t*400r = a*theta30.对数螺线柱坐标theta = t*360*2.2a = 0.005r = exp(a*theta>31.蔓叶线笛卡儿坐标系a=10y=t*100-50solvex^3 = y^2*(2*a-x>for x32.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20>33.双曲余弦x = 6*t-3y = (exp(x>+exp(0-x>>/234.双曲正弦x = 6*t-3y = (exp(x>-exp(0-x>>/235.双曲正切x = 6*t-3y = (exp(x>-exp(0-x>>/(exp(x>+exp(0-x>>36.一峰三驻点曲线x = 3*t-1.5y=(x^2-1>^3+137.八字曲线x = 2 * cos ( t *(2*180>>y = 2 * sin ( t *(5*360>>z = 038.螺旋曲线r=t*(10*180>+1theta=10+t*(20*180>z=t39.圆x = cos ( t *(5*180>>y = sin ( t *(5*180>>z = 040.封闭球形环绕曲线rho=2theta=360*tphi=t*360*1041.柱坐标螺旋曲线x = 100*t * cos ( t *(5*180>>y = 100*t * sin ( t *(5*180>>z = 042.蛇形曲线x = 2 * cos ( (t+1> *(2*180>> y = 2 * sin ( t *(5*360>>z = t*(t+1>43.8字形曲线柱坐标theta = t*360r=10+(8*sin(theta>>^244.椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta>y = b*sin(theta>45.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5>>^246.另一个花曲线theta = t*360r=10-(3*sin(theta*3>>^2z=4*sin(theta*3>^247.改一下就成为空间感更强的花曲线了。

proe曲线方程式详解

proe曲线方程式详解

proe曲线方程式详解
"proe" ,可能是指PTC Creo的简称,它是一款计算机辅助设计(CAD)软件。

"曲线方程式" 是指描述曲线的数学方程。

在PTC Creo中,曲线可以由以下几种方式描述:
1. 直线方程:使用一阶多项式方程描述直线。

形式为:y = ax + b ,其中a和b为常数。

2. 圆弧方程:使用二阶多项式方程描述圆弧。

形式为:(x - h)²+ (y - k)² = r²,其中(h, k)为圆心坐标,r为半径。

3. 椭圆方程:使用二阶多项式方程描述椭圆。

形式为:((x -
h)² / a²) + ((y - k)² / b²) = 1 ,其中(a, b)为半长轴和半短轴的长度,(h, k)为椭圆中心的坐标。

4. 抛物线方程:使用二阶多项式方程描述抛物线。

形式为:y = ax² + bx + c ,其中a、b和c为常数。

5. 双曲线方程:使用二阶多项式方程描述双曲线。

形式为:((x - h)² / a²) - ((y - k)² / b²) = 1 ,其中(a, b)为半长轴和半短轴的长度,(h, k)为双曲线中心的坐标。

这些方程可以在PTC Creo的绘图功能中使用,用于创建和编辑曲线形状。

用户可以输入方程的参数值,并在CAD界面上生成对应的曲线。

通过调整参数,可以实现不同形状的曲线。

proe曲线方程式

proe曲线方程式

Pro/E 各种曲线方程集合1.碟形弹簧圓柱坐标方程:r = 5theta = t*3600z =(sin(3.5*theta-90>>+24*t2.葉形线.笛卡儿坐標标方程:a=10x=3*a*t/(1+(t^3>>y=3*a*(t^2>/(1+(t^3>>3.螺旋线(Helical curve>圆柱坐标<cylindrical)方程: r=ttheta=10+t*(20*360>z=t*34.蝴蝶曲线球坐标方程:rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 85.渐开线采用笛卡尔坐标系方程:r=1 ang=360*ts=2*pi*r*tx0=s*cos(ang>y0=s*sin(ang>x=x0+s*sin(ang>y=y0-s*cos(ang>z=06.螺旋线.笛卡儿坐标方程:x = 4 * cos ( t *(5*360>> y = 4 * sin ( t *(5*360>>z = 10*t7.对数曲线笛卡尔坐标系方程:z=0x = 10*ty = log(10*t+0.0001>8.球面螺旋线采用球坐标系方程:rho=4theta=t*180phi=t*360*209.双弧外摆线卡迪尔坐标方程: l=2.5b=2.5x=3*b*cos(t*360>+l*cos(3*t*360> Y=3*b*sin(t*360>+l*sin(3*t*360>10.星行线卡迪尔坐标方程:a=5x=a*(cos(t*360>>^3y=a*(sin(t*360>>^311.心脏线圓柱坐标方程:a=10r=a*(1+cos(theta>>theta=t*36022.外摆线迪卡尔坐标方程:theta=t*720*5b=8a=5x=(a+b>*cos(theta>-b*cos((a/b+1>*theta>y=(a+b>*sin(theta>-b*sin((a/b+1>*theta>z=023. Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c>y=b*sin(theta>24.长短幅圆内旋轮线卡笛尔坐标方程:a=5b=7c=2.2theta=360*t*10x=(a-b>*cos(theta>+c*cos((a/b-1>*theta>y=(a-b>*sin(theta>-c*sin((a/b-1>*theta>25.长短幅圆外旋轮线卡笛尔坐标方程:theta=t*360*10a=5b=3c=5x=(a+b>*cos(theta>-c*cos((a/b+1>*theta>y=(a+b>*sin(theta>-c*sin((a/b+1>*theta>26. 三尖瓣线a=10x = a*(2*cos(t*360>+cos(2*t*360>>y = a*(2*sin(t*360>-sin(2*t*360>>27.概率曲线方程:笛卡儿坐标x = t*10-5y = exp(0-x^2>28.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2>29.阿基M德螺线柱坐标a=100theta = t*400r = a*theta30.对数螺线柱坐标theta = t*360*2.2a = 0.005r = exp(a*theta>31.蔓叶线笛卡儿坐标系a=10y=t*100-50solvex^3 = y^2*(2*a-x>for x32.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20>33.双曲余弦x = 6*t-3y = (exp(x>+exp(0-x>>/234.双曲正弦x = 6*t-3y = (exp(x>-exp(0-x>>/235.双曲正切x = 6*t-3y = (exp(x>-exp(0-x>>/(exp(x>+exp(0-x>>36.一峰三驻点曲线x = 3*t-1.5y=(x^2-1>^3+137.八字曲线x = 2 * cos ( t *(2*180>>y = 2 * sin ( t *(5*360>>z = 038.螺旋曲线r=t*(10*180>+1theta=10+t*(20*180>z=t39.圆x = cos ( t *(5*180>>y = sin ( t *(5*180>>z = 040.封闭球形环绕曲线rho=2theta=360*tphi=t*360*1041.柱坐标螺旋曲线x = 100*t * cos ( t *(5*180>>y = 100*t * sin ( t *(5*180>>z = 042.蛇形曲线x = 2 * cos ( (t+1> *(2*180>> y = 2 * sin ( t *(5*360>>z = t*(t+1>43.8字形曲线柱坐标theta = t*360r=10+(8*sin(theta>>^244.椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta>y = b*sin(theta>45.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5>>^246.另一个花曲线theta = t*360r=10-(3*sin(theta*3>>^2z=4*sin(theta*3>^247.改一下就成为空间感更强的花曲线了。

proe曲线方程大全

proe曲线方程大全

1.碟形弹簧圓柱坐标r = 5theta = t*3600z =(sin(3.5*theta-90))+24*t 2.葉形线笛卡儿坐標标a=10x=3*a*t/(1+(t^3))y=3*a*(t^2)/(1+(t^3))3.螺旋线(Helical curve)圆柱坐标(cylindrical)r=ttheta=10+t*(20*360)z=t*34.蝴蝶曲线球坐标rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 85.渐开线笛卡尔坐标系r=1ang=360*ts=2*pi*r*tx0=s*cos(ang)y0=s*sin(ang)x=x0+s*sin(ang)y=y0-s*cos(ang)z=06.螺旋线.笛卡儿坐标x = 4 * cos ( t *(5*360))y = 4 * sin ( t *(5*360))z = 10*t7.对数曲线笛卡尔坐标系z=0x = 10*ty = log(10*t+0.0001)8.球面螺旋线球坐标系rho=4theta=t*180phi=t*360*209.双弧外摆线卡迪尔坐标l=2.5b=2.5x=3*b*cos(t*360)+l*cos(3*t*360) Y=3*b*sin(t*360)+l*sin(3*t*360) 10.星行线卡迪尔坐标a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^311.心脏线圓柱坐标a=10r=a*(1+cos(theta))theta=t*36012.圆内螺旋线柱座标系theta=t*360r=10+10*sin(6*theta)z=2*sin(6*theta)13.正弦曲线笛卡尔坐标系x=50*ty=10*sin(t*360)z=014.太阳线柱坐标r=1.5*cos(50*theta)+1theta=t*360z=015.费马曲线(有点像螺纹线)数学方程:r*r = a*a*theta圓柱坐标方程1: theta=360*t*5a=4r=a*sqrt(theta*180/pi)方程2: theta=360*t*5a=4r=-a*sqrt(theta*180/pi)由于Pro/e只能做连续的曲线,所以只能分两次做16.Talbot 曲线卡笛尔坐标theta=t*360a=1.1b=0.666c=sin(theta)f=1x = (a*a+f*f*c*c)*cos(theta)/ay = (a*a-2*f+f*f*c*c)*sin(theta)/b18.Rhodonea 曲线笛卡尔坐标系theta=t*360*4x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta) y=25+(10-6)*sin(theta)-6*sin((10/6-1)*theta) 19. 抛物线笛卡儿坐标x =(4 * t)y =(3 * t) + (5 * t ^2)z =020.螺旋线圓柱坐标r = 5theta = t*1800z =(cos(theta-90))+24*t21.三叶线圆柱坐标a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)22.外摆线迪卡尔坐标theta=t*720*5b=8a=5x=(a+b)*cos(theta)-b*cos((a/b+1)*theta) y=(a+b)*sin(theta)-b*sin((a/b+1)*theta) z=023. Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)24.长短幅圆内旋轮线卡笛尔坐标a=5b=7c=2.2theta=360*t*10x=(a-b)*cos(theta)+c*cos((a/b-1)*theta) y=(a-b)*sin(theta)-c*sin((a/b-1)*theta) 25.长短幅圆外旋轮线卡笛尔坐标theta=t*360*10a=5b=3c=5x=(a+b)*cos(theta)-c*cos((a/b+1)*theta) y=(a+b)*sin(theta)-c*sin((a/b+1)*theta) 26. 三尖瓣线a=10x = a*(2*cos(t*360)+cos(2*t*360))y = a*(2*sin(t*360)-sin(2*t*360))27.概率曲线!笛卡儿坐标x = t*10-5y = exp(0-x^2)28.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2)29.阿基米德螺线柱坐标a=100theta = t*400r = a*theta30.对数螺线柱坐标theta = t*360*2.2a = 0.005r = exp(a*theta)31.蔓叶线笛卡儿坐标系a=10y=t*100-50solvex^3 = y^2*(2*a-x)for x32.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20)33.双曲余弦x = 6*t-3y = (exp(x)+exp(0-x))/234.双曲正弦x = 6*t-3y = (exp(x)-exp(0-x))/235.双曲正切x = 6*t-3y = (exp(x)-exp(0-x))/(exp(x)+exp(0-x)) 36.一峰三驻点曲线x = 3*t-1.5y=(x^2-1)^3+137.八字曲线x = 2 * cos ( t *(2*180))y = 2 * sin ( t *(5*360))z = 038.螺旋曲线r=t*(10*180)+1theta=10+t*(20*180)z=t39.圆x = cos ( t *(5*180))y = sin ( t *(5*180))z = 040.封闭球形环绕曲线rho=2theta=360*tphi=t*360*1041.柱坐标螺旋曲线x = 100*t * cos ( t *(5*180))y = 100*t * sin ( t *(5*180))z = 042.蛇形曲线x = 2 * cos ( (t+1) *(2*180))y = 2 * sin ( t *(5*360))z = t*(t+1)43.8字形曲线柱坐标theta = t*360r=10+(8*sin(theta))^244.椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta)y = b*sin(theta)45.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5))^246.另一个花曲线theta = t*360r=10-(3*sin(theta*3))^2z=4*sin(theta*3)^247.改一下就成为空间感更强的花曲线了;) theta = t*360r=10-(3*sin(theta*3))^2z=(r*sin(theta*3))^248.螺旋上升的椭圆线a = 10b = 20theta = t*360*3x = a*cos(theta)y = b*sin(theta)z=t*1249.甚至这种螺旋花曲线theta = t*360*4r=10+(3*sin(theta*2.5))^2z = t*1650 鼓形线笛卡尔方程r=5+3.3*sin(t*180)+ttheta=t*360*10z=t*1051 长命锁曲线笛卡尔方程:a=1*t*359.5b=q2*t*360c=q3*t*360rr1=w1rr2=w2rr3=w3x=rr1*cos(a)+rr2*cos(b)+rr3*cos(c) y=rr1*sin(a)+rr2*sin(b)+rr3*sin(c) 52 簪形线球坐标rho=200*ttheta=900*tphi=t*90*1053.螺旋上升曲线r=t^10theta=t^3*360*6*3+t^3*360*3*3z=t^3*(t+1)54.蘑菇曲线球坐标rho=t^3+t*(t+1)theta=t*360phi=t^2*360*20*2055. 8字曲线a=1b=1x=3*b*cos(t*360)+a*cos(3*t*360) Y=b*sin(t*360)+a*sin(3*t*360) 56.梅花曲线theta=t*360r=100+50*cos(5*theta)z=2*cos(5*theta)57.桃形曲线rho=t^3+t*(t+1)theta=t*360phi=t^2*360*10*1058.碟形弹簧圓柱坐r = 5theta = t*3600z =(sin(3.5*theta-90))+2459 环形二次曲线笛卡儿方程:x=50*cos(t*360)y=50*sin(t*360)z=10*cos(t*360*8)60 蝶线球坐标:rho=4*sin(t*360)+6*cos(t*360^2) theta=t*360phi=log(1+t*360)*t*36061.正弦周弹簧笛卡尔:ang1=t*360ang2=t*360*20x=ang1*2*pi/360y=sin(ang1)*5+cos(ang2)z=sin(ang2)62.环形螺旋线笛卡尔:x=(50+10*sin(t*360*15))*cos(t*360) y=(50+10*sin(t*360*15))*sin(t*360) z=10*cos(t*360*5)63.内接弹簧笛卡尔:x=2*cos(t*360*10)+cos(t*180*10)y=2*sin(t*360*10)+sin(t*180*10)z=t*664.多变内接式弹簧笛卡尔:x=3*cos(t*360*8)-1.5*cos(t*480*8)y=3*sin(t*360*8)-1.5*sin(t*480*8)z=t*865.柱面正弦波线柱坐标r=30theta=t*360z=5*sin(5*theta-90)66.漩涡线球坐标:rho=t*20^2theta=t*log(30)*60phi=t*720067. 手把曲线笛卡尔:thta0=t*360thta1=t*360*6r0=400r1=40r=r0+r1*cos(thta1)x=r*cos(thta0)y=r1*sin(thta1)z=068.篮子圆柱坐标r=5+0.3*sin(t*180)+ttheta=t*360*30z=t*569. 圆柱齿轮齿廓的渐开线方程:笛卡尔坐标afa=60*tx=10*cos(afa)+pi*10*afa/180*sin(afa) x=10*sin(afa)-pi*10*afa/180*cos(afa) z=0注:afa为压力角,取值范围是0到60,10为基圆半径。

[整理]proe各种曲线方程.

[整理]proe各种曲线方程.

Pro/E 各种曲线方程集合1.碟形弹簧圓柱坐标方程:r = 5theta = t*3600z =(sin(3.5*theta-90))+24*t2.葉形线.笛卡儿坐標标方程:a=10x=3*a*t/(1+(t^3))y=3*a*(t^2)/(1+(t^3))3.螺旋线(Helical curve)圆柱坐标(cylindrical)方程:r=ttheta=10+t*(20*360)z=t*34.蝴蝶曲线球坐标方程:rho = 8 * t theta = 360 * t * 4 phi = -360 * t * 85.渐开线采用笛卡尔坐标系方程:r=1s=2*pi*r*tx0=s*cos(ang)y0=s*sin(ang)x=x0+s*sin(ang)y=y0-s*cos(ang)z=06.螺旋线.笛卡儿坐标方程:x = 4 * cos ( t *(5*360)) y = 4 * sin ( t *(5*360))z = 10*t笛卡尔坐标系方程:z=0x = 10*ty = log(10*t+0.0001)8.球面螺旋线采用球坐标系方程:rho=4theta=t*180phi=t*360*209.双弧外摆线卡迪尔坐标方程:l=2.5b=2.5x=3*b*cos(t*360)+l*cos(3*t*360) Y=3*b*sin(t*360)+l*sin(3*t*360)10.星行线卡迪尔坐标方程:a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^311.心脏线圓柱坐标方程:a=10r=a*(1+cos(theta))theta=t*36012.圆内螺旋线采用柱座标系方程:theta=t*360r=10+10*sin(6*theta) z=2*sin(6*theta)13.正弦曲线笛卡尔坐标系方程:x=50*ty=10*sin(t*360)z=014.太阳线(这本来是做别的曲线的,结果做错了,就变成这样了)15.费马曲线(有点像螺纹线)数学方程:r*r = a*a*theta圓柱坐标方程1: theta=360*t*5a=4r=a*sqrt(theta*180/pi)方程2: theta=360*t*5a=4r=-a*sqrt(theta*180/pi)由于Pro/e只能做连续的曲线,所以只能分两次做16.Talbot 曲线卡笛尔坐标方程:theta=t*360a=1.1b=0.666c=sin(theta)f=1x = (a*a+f*f*c*c)*cos(theta)/ay = (a*a-2*f+f*f*c*c)*sin(theta)/b17.4叶线(一个方程做的,没有复制)18.Rhodonea 曲线采用笛卡尔坐标系方程:theta=t*360*4x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta) y=25+(10-6)*sin(theta)-6*sin((10/6-1)*theta)19. 抛物线笛卡儿坐标方程:x =(4 * t)y =(3 * t) + (5 * t ^2) z =020.螺旋线圓柱坐标方程:r = 5theta = t*1800z =(cos(theta-90))+24*t21.三叶线圆柱坐标方程:a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)22.外摆线迪卡尔坐标方程:theta=t*720*5b=8a=5x=(a+b)*cos(theta)-b*cos((a/b+1)*theta) y=(a+b)*sin(theta)-b*sin((a/b+1)*theta)23. Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)24.长短幅圆内旋轮线卡笛尔坐标方程:a=5b=7theta=360*t*10x=(a-b)*cos(theta)+c*cos((a/b-1)*theta) y=(a-b)*sin(theta)-c*sin((a/b-1)*theta)25.长短幅圆外旋轮线卡笛尔坐标方程:theta=t*360*10a=5b=3c=5x=(a+b)*cos(theta)-c*cos((a/b+1)*theta)y=(a+b)*sin(theta)-c*sin((a/b+1)*theta)26. 三尖瓣线a=10x = a*(2*cos(t*360)+cos(2*t*360))y = a*(2*sin(t*360)-sin(2*t*360))27.概率曲线!方程:笛卡儿坐标x = t*10-5y = exp(0-x^2)28.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2)29.阿基米德螺线柱坐标a=100theta = t*400r = a*theta30.对数螺线柱坐标theta = t*360*2.2 a = 0.005r = exp(a*theta)31.蔓叶线笛卡儿坐标系a=10y=t*100-50solvex^3 = y^2*(2*a-x)for x32.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20)33.双曲余弦x = 6*t-3y = (exp(x)+exp(0-x))/234.双曲正弦x = 6*t-3y = (exp(x)-exp(0-x))/235.双曲正切x = 6*t-3y = (exp(x)-exp(0-x))/(exp(x)+exp(0-x))。

proe公式大全

proe公式大全

proe公式⼤全1.正弦曲线建⽴环境:Pro/E软件、笛卡尔坐标系x=50*ty=10*sin(t*360)z=02.螺旋线(Helical curve)建⽴环境:PRO/E;圆柱坐标(cylindrical)r=t theta=10+t*(20*360)z=t*33.蝴蝶曲线球坐标PRO/E⽅程:rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 84.Rhodonea曲线螺旋线(圓柱坐标)⽅程:r = 5theta = t*1800z =(cos(theta-90))+24*t采⽤笛卡尔坐标系theta=t*360*4x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta) y=25+(10-6)*sin(theta)-6*sin((10/6-1)*theta) *********************************5.圆内螺旋线采⽤柱座标系theta=t*360r=10+10*sin(6*theta) z=2*sin(6*theta)6.渐开线的⽅程r=1ang=360*ts=2*pi*r*tx0=s*cos(ang)y0=s*sin(ang)x=x0+s*sin(ang)y=y0-s*cos(ang)z=07.对数曲线z=0x = 10*ty = log(10*t+0.0001)8.球⾯螺旋线(采⽤球坐标系)rho=4theta=t*180phi=t*360*209.双弧外摆线卡迪尔坐标⽅程:l=2.5b=2.5x=3*b*cos(t*360)+l*cos(3*t*360) Y=3*b*sin(t*360)+l*sin(3*t*360)10.星⾏线卡迪尔坐标⽅程:a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^311.⼼脏线建⽴環境:pro/e,圓柱坐標a=10r=a*(1+cos(theta))theta=t*36012.葉形線建⽴環境:笛卡⼉坐標a=10x=3*a*t/(1+(t^3))y=3*a*(t^2)/(1+(t^3))13.笛卡⼉坐标下的螺旋线x = 4 * cos ( t *(5*360)) y = 4 * sin ( t *(5*360))z = 10*t14.抛物线笛卡⼉坐标x =(4 * t)y =(3 * t) + (5 * t ^2)z =015.碟形弹簧建⽴環境:pro/e圓柱坐标r = 5theta = t*3600z =(sin(3.5*theta-90))+24*t16.费马曲线(有点像螺纹线)数学⽅程:r*r = a*a*theta圓柱坐标⽅程1: theta=360*t*5a=4r=a*sqrt(theta*180/pi)⽅程2: theta=360*t*5a=4r=-a*sqrt(theta*180/pi)由于Pro/e只能做连续的曲线,所以只能分两次做17.Talbot 曲线卡笛尔坐标⽅程:theta=t*360a=1.1b=0.666c=sin(theta)f=1x = (a*a+f*f*c*c)*cos(theta)/ay = (a*a-2*f+f*f*c*c)*sin(theta)/b18.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5))^219.螺旋上升的椭圆线a = 10b = 20theta = t*360*3x = a*cos(theta)y = b*sin(theta)z=t*1220.环形螺旋线x=(50+10*sin(t*360*15))*cos(t*360) y=(50+10*sin(t*360*15))*sin(t*360) z=10*cos(t*360*5)21.阿基⽶德螺线柱坐标a=100theta = t*400r = a*theta22.正弦曲线笛卡尔坐标系⽅程:x=50*ty=10*sin(t*360*8)z=0pro/e关系式、函数的相关说明资料?关系中使⽤的函数数学函数下列运算符可⽤于关系(包括等式和条件语句)中。

Proe各种曲线方程大集合

Proe各种曲线方程大集合

Pro/E 各种曲线方程集合: Pro/E 各种曲线方程集合1.碟形弹簧圓柱坐标方程:r = 5theta = t*3600z =(sin(3.5*theta-90))+24*t图12.葉形线.笛卡儿坐標标方程:a=10x=3*a*t/(1+(t^3))y=3*a*(t^2)/(1+(t^3))图2 3.螺旋线(Helical curve)圆柱坐标(cylindrical)方程:r=ttheta=10+t*(20*360)z=t*3图34.蝴蝶曲线球坐标方程:rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 8图45.渐开线采用笛卡尔坐标系方程:r=1ang=360*ts=2*pi*r*tx0=s*cos(ang)y0=s*sin(ang)x=x0+s*sin(ang)y=y0-s*cos(ang)z=0图56.螺旋线.笛卡儿坐标方程:x = 4 * cos ( t *(5*360))y = 4 * sin ( t *(5*360))z = 10*t图67.对数曲线笛卡尔坐标系方程:z=0x = 10*ty = log(10*t+0.0001)图78.球面螺旋线采用球坐标系方程:rho=4theta=t*180phi=t*360*20图89.双弧外摆线卡迪尔坐标方程:l=2.5b=2.5x=3*b*cos(t*360)+l*cos(3*t*360)Y=3*b*sin(t*360)+l*sin(3*t*360)图910.星行线卡迪尔坐标方程:a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^3图1011.心脏线圓柱坐标方程:a=10r=a*(1+cos(theta))theta=t*360图11 12.圆内螺旋线采用柱座标系方程:theta=t*360r=10+10*sin(6*theta)z=2*sin(6*theta)图1213.正弦曲线笛卡尔坐标系方程:x=50*ty=10*sin(t*360)z=0图1314.太阳线(这本来是做别的曲线的,结果做错了,就变成这样了)图1415.费马曲线(有点像螺纹线)数学方程:r*r = a*a*theta圓柱坐标方程1: theta=360*t*5a=4r=a*sqrt(theta*180/pi)方程2: theta=360*t*5a=4r=-a*sqrt(theta*180/pi)由于Pro/e只能做连续的曲线,所以只能分两次做图15 16.Talbot 曲线卡笛尔坐标方程:theta=t*360a=1.1b=0.666c=sin(theta)f=1x = (a*a+f*f*c*c)*cos(theta)/ay = (a*a-2*f+f*f*c*c)*sin(theta)/b图1617.4叶线(一个方程做的,没有复制)图1718.Rhodonea 曲线采用笛卡尔坐标系方程:theta=t*360*4x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta) y=25+(10-6)*sin(theta)-6*sin((10/6-1)*theta)图18 19. 抛物线笛卡儿坐标方程:x =(4 * t)y =(3 * t) + (5 * t ^2)z =0图1920.螺旋线圓柱坐标方程:r = 5theta = t*1800z =(cos(theta-90))+24*t图1920.螺旋线圓柱坐标方程:r = 5theta = t*1800z =(cos(theta-90))+24*t图2021.三叶线圆柱坐标方程:a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)圖2122.外摆线迪卡尔坐标方程:theta=t*720*5b=8a=5x=(a+b)*cos(theta)-b*cos((a/b+1)*theta)y=(a+b)*sin(theta)-b*sin((a/b+1)*theta)z=0图2223. Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)图2324.长短幅圆内旋轮线卡笛尔坐标方程:a=5b=7c=2.2theta=360*t*10x=(a-b)*cos(theta)+c*cos((a/b-1)*theta)y=(a-b)*sin(theta)-c*sin((a/b-1)*theta)图2425.长短幅圆外旋轮线卡笛尔坐标方程:theta=t*360*10a=5b=3c=5x=(a+b)*cos(theta)-c*cos((a/b+1)*theta)y=(a+b)*sin(theta)-c*sin((a/b+1)*theta)图25 26. 三尖瓣线a=10x = a*(2*cos(t*360)+cos(2*t*360))y = a*(2*sin(t*360)-sin(2*t*360))图2627.概率曲线!方程:笛卡儿坐标x = t*10-5y = exp(0-x^2)图2728.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2)图2829.阿基米德螺线柱坐标a=100theta = t*400r = a*theta图29 30.对数螺线柱坐标theta = t*360*2.2a = 0.005r = exp(a*theta)图3031.蔓叶线笛卡儿坐标系a=10y=t*100-50solvex^3 = y^2*(2*a-x)for x图3132.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20)图3233.双曲余弦x = 6*t-3y = (exp(x)+exp(0-x))/2图33 34.双曲正弦x = 6*t-3y = (exp(x)-exp(0-x))/2图3435.双曲正切x = 6*t-3y = (exp(x)-exp(0-x))/(exp(x)+exp(0-x))图3536.一峰三驻点曲线x = 3*t-1.5y=(x^2-1)^3+1图3637.八字曲线x = 2 * cos ( t *(2*180))y = 2 * sin ( t *(5*360))z = 0图3738.螺旋曲线r=t*(10*180)+1theta=10+t*(20*180)z=t图3839.圆x = cos ( t *(5*180))y = sin ( t *(5*180))z = 0图3940.封闭球形环绕曲线rho=2theta=360*tphi=t*360*10图4041.柱坐标螺旋曲线x = 100*t * cos ( t *(5*180))y = 100*t * sin ( t *(5*180))z = 042.蛇形曲线x = 2 * cos ( (t+1) *(2*180)) y = 2 * sin ( t *(5*360))z = t*(t+1)图4243.8字形曲线柱坐标theta = t*360r=10+(8*sin(theta))^2图4344.椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta)y = b*sin(theta)图44 45.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5))^2图4546.另一个花曲线theta = t*360r=10-(3*sin(theta*3))^2z=4*sin(theta*3)^2图4647.改一下就成为空间感更强的花曲线了;)theta = t*360r=10-(3*sin(theta*3))^2z=(r*sin(theta*3))^2图4748.螺旋上升的椭圆线a = 10b = 20theta = t*360*3x = a*cos(theta)y = b*sin(theta)z=t*12图48 49.甚至这种螺旋花曲线theta = t*360*4r=10+(3*sin(theta*2.5))^2z = t*16图49 50 鼓形线笛卡尔方程r=5+3.3*sin(t*180)+ttheta=t*360*10z=t*10图50 51 长命锁曲线笛卡尔方程:a=1*t*359.5b=q2*t*360c=q3*t*360rr1=w1rr2=w2rr3=w3x=rr1*cos(a)+rr2*cos(b)+rr3*cos(c)y=rr1*sin(a)+rr2*sin(b)+rr3*sin(c)图51 52 簪形线球坐标方程:rho=200*ttheta=900*tphi=t*90*10图5253.螺旋上升曲线r=t^10theta=t^3*360*6*3+t^3*360*3*3z=t^3*(t+1)图53 54.蘑菇曲线rho=t^3+t*(t+1)theta=t*360phi=t^2*360*20*20图5455. 8字曲线a=1b=1x=3*b*cos(t*360)+a*cos(3*t*360)Y=b*sin(t*360)+a*sin(3*t*360)图5556.梅花曲线theta=t*360r=100+50*cos(5*theta)z=2*cos(5*theta)图5657.桃形曲线rho=t^3+t*(t+1)theta=t*360phi=t^2*360*10*10图5758.名稱:碟形弹簧建立環境:pro/e圓柱坐r = 5theta = t*3600z =(sin(3.5*theta-90))+24图58。

proe方程式

proe方程式

47.改一下就成为空间感更强的花曲线了;) theta = t*360 r=10-(3*sin(theta*3))^2 z=(r*sin(theta*3))^2 48.螺旋上升的椭圆线 a = 10 b = 20 theta = t*360*3 x = a*cos(theta) y = b*sin(theta) z=t*12 49.甚至这种螺旋花曲线 theta = t*360*4 r=10+(3*sin(theta*2.5))^2 z = t*16 50 鼓形线 笛卡尔方程 r=5+3.3*sin(t*180)+t theta=t*360*10 z=t*10 51 长命锁曲线 笛卡尔方程: a=1*t*359.5 b=q2*t*360 c=q3*t*360 rr1=w1 rr2=w2 rr3=w3 x=rr1*cos(a)+rr2*cos(b)+rr3*cos(c) y=rr1*sin(a)+rr2*sin(b)+rr3*sin(c) 52 簪形线 球坐标 rho=200*t theta=900*t phi=t*90*10 53.螺旋上升曲线 r=t^10 theta=t^3*360*6*3+t^3*360*3*3 z=t^3*(t+1) 54.蘑菇曲线 球坐标 rho=t^3+t*(t+1) theta=t*360 phi=t^2*360*20*20 55. 8字曲线 a=1 b=1 x=3*b*cos(t*360)+a*cos(3*t*360) Y=b*sin(t*360)+a*sin(3*t*360) 56.梅花曲线
66.漩涡线 球坐标: rho=t*20^2 theta=t*log(30)*60 phi=t*7200 67. 手把曲线 笛卡尔: thta0=t*360 thta1=t*360*6 r0=400 r1=40 r=r0+r1*cos(thta1) x=r*cos(thta0) y=r1*sin(thta1) z=0 68.篮子 圆柱坐标 r=5+0.3*sin(t*180)+t theta=t*360*30 z=t*5 69. 圆柱齿轮齿廓的渐开线方程: 笛卡尔坐标 afa=60*t x=10*cos(afa)+pi*10*afa/180*sin(afa) x=10*sin(afa)-pi*10*afa/180*cos(afa) z=0 注:afa 为压力角,取值范围是0到60,10为基圆半径。 70.对数螺旋曲线 柱坐标: r=sqrt(theta) theta=t*360*30 z=0 71. 罩形线 球坐标: rho=4 theta=t*60 phi=t*360*10 72. 向日葵线 笛卡尔: theta=t*360 r=30+10*sin(theta*30) z=0 73. 太阳线 笛卡尔: r=1.5*cos(50*theta)+1 theta=t*360 z=0 74 塔形螺旋线 笛卡尔:

proe曲线方程式

proe曲线方程式

螺旋曲线建立环境:Pro/E软件、笛卡尔坐标系半径是10,螺距是2,总长是20的螺旋线x=10*cos(t*10*360)y=10*sin(t*10*360)z=20*t名称:正弦曲线建立环境:Pro/E软件、笛卡尔坐标系x=50*t y=10*sin(t*360) z=0名称:螺旋线(Helical curve) 建立环境:PRO/E;圆柱坐标(cylindrical)r=t theta=10+t*(20*360) z=t*3蝴蝶曲线球坐标PRO/E 方程:rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 8Rhodonea曲线采用笛卡尔坐标系theta=t*360*4 x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta) y=25+(10-6)*sin(theta)-6*sin((10/6-1)*theta) ********************************* 圆内螺旋线采用柱座标系theta=t*360 r=10+10*sin(6*theta) z=2*sin(6*theta)渐开线的方程r=1 ang=360*t s=2*pi*r*t x0=s*cos(ang) y0=s*sin(ang) x=x0+s*sin(ang) y=y0-s*cos(ang) z=0对数曲线z=0 x = 10*t y = log(10*t+0.0001)球面螺旋线(采用球坐标系)rho=4 theta=t*180 phi=t*360*20名称:双弧外摆线卡迪尔坐标方程:l=2.5b=2.5x=3*b*cos(t*360)+l*cos(3*t*360)Y=3*b*sin(t*360)+l*sin(3*t*360)名称:星行线卡迪尔坐标方程:a=5 x=a*(cos(t*360))^3 y=a*(sin(t*360))^3名稱:心臟線建立環境:pro/e,圓柱坐標a=10 r=a*(1+cos(theta)) theta=t*360名稱:葉形線建立環境:笛卡儿坐標a=10 x=3*a*t/(1+(t^3)) y=3*a*(t^2)/(1+(t^3))笛卡儿坐标下的螺旋线x = 4 * cos ( t *(5*360)) y = 4 * sin ( t *(5*360)) z = 10*t一抛物线笛卡儿坐标 x =(4 * t) y =(3 * t) + (5 * t ^2) z =0名稱:碟形弹簧建立環境:pro/e 圓柱坐r = 5 theta = t*3600 z =(sin(3.5*theta-90))+24*t费马曲线(有点像螺纹线)数学方程:r*r = a*a*theta 圓柱坐标方程1: theta=360*t*5 a=4r=a*sqrt(theta*180/pi)方程2: theta=360*t*5a=4r=-a*sqrt(theta*180/pi)由于Pro/e只能做连续的曲线,所以只能分两次做Talbot 曲线卡笛尔坐标方程:theta=t*360a=1.1b=0.666c=sin(theta)f=1x = (a*a+f*f*c*c)*cos(theta)/ay = (a*a-2*f+f*f*c*c)*sin(theta)/b.螺旋线圓柱坐标方程:r = 5theta = t*1800z =(cos(theta-90))+24*t三叶线圆柱坐标方程:a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)外摆线迪卡尔坐标方程:theta=t*720*5 b=8a=5x=(a+b)*cos(theta)-b*cos((a/b+1)*theta)y=(a+b)*sin(theta)-b*sin((a/b+1)*theta)z=0Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)长短幅圆内旋轮线卡笛尔坐标方程:a=5b=7c=2.2theta=360*t*10x=(a-b)*cos(theta)+c*cos((a/b-1)*theta)y=(a-b)*sin(theta)-c*sin((a/b-1)*theta)长短幅圆外旋轮线卡笛尔坐标方程:theta=t*360*10 a=5b=3c=5x=(a+b)*cos(theta)-c*cos((a/b+1)*theta)y=(a+b)*sin(theta)-c*sin((a/b+1)*theta)三尖瓣线a=10x = a*(2*cos(t*360)+cos(2*t*360))y = a*(2*sin(t*360)-sin(2*t*360))概率曲线!方程:笛卡儿坐标x = t*10-5y = exp(0-x^2)箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2)阿基米德螺线柱坐标a=100theta = t*400r = a*theta对数螺线柱坐标theta = t*360*2.2a = 0.005r = exp(a*theta)八字曲线x = 2 * cos ( t *(2*180))y = 2 * sin ( t *(5*360))z = 0螺旋曲线r=t*(10*180)+1theta=10+t*(20*180)z=t圆x = cos ( t *(5*180))y = sin ( t *(5*180)) z = 0柱坐标螺旋曲线x = 100*t * cos ( t *(5*180))y = 100*t * sin ( t *(5*180))z = 0椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta)y = b*sin(theta)梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5))^2鼓形线笛卡尔方程r=5+3.3*sin(t*180)+t theta=t*360*10z=t*10环形二次曲线笛卡儿方程:x=50*cos(t*360)y=50*sin(t*360)z=10*cos(t*360*8)环形螺旋线x=(50+10*sin(t*360*15))*cos(t*360) y=(50+10*sin(t*360*15))*sin(t*360)z=10*cos(t*360*5)内接弹簧笛卡尔:x=2*cos(t*360*10)+cos(t*180*10) y=2*sin(t*360*10)+sin(t*180*10) z=t*6ufo (漩涡线)球坐标:rho=t*20^2theta=t*log(30)*60phi=t*7200手把曲线笛卡尔:thta0=t*360thta1=t*360*6r0=400r1=40r=r0+r1*cos(thta1) x=r*cos(thta0)y=r1*sin(thta1)z=0篮子圆柱坐标r=5+0.3*sin(t*180)+t theta=t*360*30z=t*5篮子圆柱齿轮齿廓的渐开线方程:笛卡尔坐标afa=60*tx=10*cos(afa)+pi*10*afa/180*sin(afa)x=10*sin(afa)-pi*10*afa/180*cos(afa)z=0注:afa为压力角,取值范围是0到60,10为基圆半径向日葵线笛卡尔:theta=t*360r=30+10*sin(theta*30)z=0太阳线r=1.5*cos(50*theta)+1 theta=t*360z=0蝴蝶结曲线迪卡尔坐标x=200*t*sin(t*3600) y=250*t*cos(t*3600) z=300*t*sin(t*1800)蕊theta = t*360r=5-(3*sin(theta*3))^2 z=(r*sin(theta*3))^2。

各种曲线PROE的参数方程

各种曲线PROE的参数方程

34.双曲正弦 方程:x = 6*t-3 y = (exp(x)-exp(0-x))/2
35.双曲正切 方程:x = 6*t-3 y = (exp(x)-exp(0-x))/(exp(x)+exp(0-x)) 36.一峰三驻点曲线 方程:x = 3*t-1.5 y=(x^2-1)^3+1 37.”8”字曲线 方程:x = 2 * cos ( t *(2*180)) y = 2 * sin ( t *(5*360))
(相似形:22、24、25) 41.螺旋线
方程:x = 100*t * cos ( t *(5*180)) y = 100*t * sin ( t *(5*180)) z=0
(其它螺旋线方程:3、6、20、38、53、62) 42.蛇形线
方程:x = 2 * cos ( (t+1) *(2*180)) y = 2 * sin ( t *(5*360)) z = t*(t+1) 43.墨镜线 方程:theta = t*360
y=sin(ang1)*5+cos(ang2) z=sin(ang2)
62.环形螺旋线 方程:x=(50+10*sin(t*360*15))*cos(t*360)
y=(50+10*sin(t*360*15))*sin(t*360) z=10*cos(t*360*5)
(其它螺旋线方程:3、6、20、38、41、53) 63.内接弹簧
a = 0.005 r = exp(a*theta)
31.蔓叶线 方程:a=10 y=t*100-50
solve x^3 = y^2*(2*a-x)
for x 32.正切线 方程:x = t*8.5 -4.25 y = tan(x*20) 33.双曲余弦 方程:x = 6*t-3 y = (exp(x)+exp(0-x))/2

Pro-E常用曲线方程式

Pro-E常用曲线方程式

Pro-E常用曲线方程式名称:正弦曲线建立环境:Pro/E软件、笛卡尔坐标系x=50*ty=10*sin(t*360)z=02. 名称:螺旋线(Helical curve)建立环境:PRO/E;圆柱坐标(cylindrical)r=ttheta=10+t*(20*360)z=t*33. 蝴蝶曲线球坐标PRO/E方程:rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 84.Rhodonea 曲线采用笛卡尔坐标系theta=t*360*4x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta) y=25+(10-6)*sin(theta)-6*sin((10/6-1)*theta)*********************************圆内螺旋线采用柱座标系theta=t*360r=10+10*sin(6*theta)z=2*sin(6*theta)5. 渐开线的方程r=1ang=360*ts=2*pi*r*tx0=s*cos(ang)y0=s*sin(ang)x=x0+s*sin(ang)y=y0-s*cos(ang)z=06. 对数曲线z=0x = 10*ty = log(10*t+0.0001)7. 球面螺旋线(采用球坐标系)rho=4theta=t*180phi=t*360*208. 名称:双弧外摆线卡迪尔坐标方程:l=2.5b=2.5x=3*b*cos(t*360)+l*cos(3*t*360) Y=3*b*sin(t*360)+l*sin(3*t*360)9. 名称:星行线卡迪尔坐标方程:a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^3 没有分加吗?10. 名稱:心臟線建立环境:pro/e,圓柱坐標a=10r=a*(1+cos(theta))theta=t*36011. 名稱:葉形線建立环境:笛卡儿坐標a=10x=3*a*t/(1+(t^3))y=3*a*(t^2)/(1+(t^3))12. x = 4 * cos ( t *(5*360))y = 4 * sin ( t *(5*360)) z = 10*t13. 一抛物线x =(4 * t)y =(3 * t) + (5 * t ^2) z =014. 名稱:碟形弹簧建立環境:pro/e圓柱坐r = 5theta = t*3600z =(sin(3.5*theta-90))+24。

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x=3*b*cos(t*360)+l*cos(3*t*360) Y=3*b*sin(t*360)+l*sin(3*t*360)12.圆内螺旋线采用柱座标系方程:theta=t*360r=10+10*sin(6*theta)z=2*sin(6*theta)此主题相关图片如下:12.jpg13.正弦曲线笛卡尔坐标系方程:x=50*ty=10*sin(t*360)z=0此主题相关图片如下:13.jpg14.太阳线(这本来是做别的曲线的,结果做错了,就变成这样了)此主题相关图片如下:14.jpg15.费马曲线(有点像螺纹线)数学方程:r*r = a*a*theta圓柱坐标方程1: theta=360*t*5a=4r=a*sqrt(theta*180/pi)方程2: theta=360*t*5a=4r=-a*sqrt(theta*180/pi)由于Pro/e只能做连续的曲线,所以只能分两次做此主题相关图片如下:15.jpg16.Talbot 曲线卡笛尔坐标方程:theta=t*360a=1.1b=0.666c=sin(theta)f=1x = (a*a+f*f*c*c)*cos(theta)/ay = (a*a-2*f+f*f*c*c)*sin(theta)/b此主题相关图片如下:16.jpg17.4叶线(一个方程做的,没有复制)此主题相关图片如下:17.jpg18.Rhodonea 曲线采用笛卡尔坐标系方程:theta=t*360*4x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta) y=25+(10-6)*sin(theta)-6*sin((10/6-1)*theta)此主题相关图片如下:18.jpg19. 抛物线笛卡儿坐标方程:x =(4 * t)y =(3 * t) + (5 * t ^2)z =0此主题相关图片如下:19.jpg20.螺旋线圓柱坐标方程:r = 5theta = t*1800z =(cos(theta-90))+24*t此主题相关图片如下:20.jpg21.三叶线圆柱坐标方程:a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)此主题相关图片如下:21.jpg22.外摆线迪卡尔坐标方程:theta=t*720*5b=8a=5x=(a+b)*cos(theta)-b*cos((a/b+1)*theta) y=(a+b)*sin(theta)-b*sin((a/b+1)*theta) z=0此主题相关图片如下:22.jpg23. Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)此主题相关图片如下:23.jpg24.长短幅圆内旋轮线卡笛尔坐标方程:a=5b=7c=2.2theta=360*t*10x=(a-b)*cos(theta)+c*cos((a/b-1)*theta) y=(a-b)*sin(theta)-c*sin((a/b-1)*theta) 此主题相关图片如下:24.jpg25.长短幅圆外旋轮线卡笛尔坐标方程:theta=t*360*10a=5b=3c=5x=(a+b)*cos(theta)-c*cos((a/b+1)*theta) y=(a+b)*sin(theta)-c*sin((a/b+1)*theta)此主题相关图片如下:25.jpg26. 三尖瓣线a=10x = a*(2*cos(t*360)+cos(2*t*360)) y = a*(2*sin(t*360)-sin(2*t*360)) 此主题相关图片如下:26.jpg27.概率曲线!方程:笛卡儿坐标x = t*10-5y = exp(0-x^2)此主题相关图片如下:27.jpg28.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2)此主题相关图片如下:28.jpg29.阿基米德螺线柱坐标a=100theta = t*400r = a*theta30.对数螺线柱坐标theta = t*360*2.2a = 0.005r = exp(a*theta)此主题相关图片如下:30.jpg31.蔓叶线笛卡儿坐标系a=10y=t*100-50solvex^3 = y^2*(2*a-x)for x32.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20)此主题相关图片如下:32.jpg33.双曲余弦x = 6*t-3y = (exp(x)+exp(0-x))/2此主题相关图片如下:33.jpg34.双曲正弦x = 6*t-3y = (exp(x)-exp(0-x))/2此主题相关图片如下:34.jpg35.双曲正切x = 6*t-3y = (exp(x)-exp(0-x))/(exp(x)+exp(0-x)) 此主题相关图片如下:35.jpg36.一峰三驻点曲线x = 3*t-1.5y=(x^2-1)^3+1此主题相关图片如下:36.jpg37.八字曲线x = 2 * cos ( t *(2*180))y = 2 * sin ( t *(5*360))z = 0此主题相关图片如下:37.jpg38.螺旋曲线r=t*(10*180)+1theta=10+t*(20*180)z=t此主题相关图片如下:38.jpg39.圆x = cos ( t *(5*180))y = sin ( t *(5*180))z = 0此主题相关图片如下:39.jpg40.封闭球形环绕曲线rho=2theta=360*tphi=t*360*10此主题相关图片如下:40.jpg41.柱坐标螺旋曲线x = 100*t * cos ( t *(5*180)) y = 100*t * sin ( t *(5*180)) z = 0此主题相关图片如下:41.jpg42.蛇形曲线x = 2 * cos ( (t+1) *(2*180))y = 2 * sin ( t *(5*360))z = t*(t+1)此主题相关图片如下:42.jpg43.8字形曲线柱坐标theta = t*360r=10+(8*sin(theta))^2此主题相关图片如下:43.jpg44.椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta)y = b*sin(theta)此主题相关图片如下:44.jpg45.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5))^2此主题相关图片如下:45.jpg46.另一个花曲线theta = t*360r=10-(3*sin(theta*3))^2z=4*sin(theta*3)^2此主题相关图片如下:46.jpg47.改一下就成为空间感更强的花曲线了;) theta = t*360r=10-(3*sin(theta*3))^2z=(r*sin(theta*3))^2此主题相关图片如下:47.gif48.螺旋上升的椭圆线a = 10b = 20theta = t*360*3x = a*cos(theta)y = b*sin(theta)z=t*12此主题相关图片如下:48.jpg49.甚至这种螺旋花曲线theta = t*360*4r=10+(3*sin(theta*2.5))^2z = t*16此主题相关图片如下:49.jpg50 鼓形线笛卡尔方程r=5+3.3*sin(t*180)+ttheta=t*360*10z=t*10此主题相关图片如下:50.jpg51 长命锁曲线笛卡尔方程:a=1*t*359.5b=q2*t*360c=q3*t*360rr1=w1rr2=w2rr3=w3x=rr1*cos(a)+rr2*cos(b)+rr3*cos(c) y=rr1*sin(a)+rr2*sin(b)+rr3*sin(c)此主题相关图片如下:51.jpg52 簪形线球坐标方程:rho=200*ttheta=900*tphi=t*90*10此主题相关图片如下:52.jpg53.螺旋上升曲线r=t^10theta=t^3*360*6*3+t^3*360*3*3 z=t^3*(t+1)此主题相关图片如下:53.jpg54.蘑菇曲线rho=t^3+t*(t+1) theta=t*360phi=t^2*360*20*20此主题相关图片如下:54.jpg55. 8字曲线a=1b=1x=3*b*cos(t*360)+a*cos(3*t*360) Y=b*sin(t*360)+a*sin(3*t*360)此主题相关图片如下:55.jpg56.梅花曲线theta=t*360r=100+50*cos(5*theta)z=2*cos(5*theta)此主题相关图片如下:56.jpg57.桃形曲线rho=t^3+t*(t+1)theta=t*360phi=t^2*360*10*10此主题相关图片如下:57.jpg58.名稱:碟形弹簧建立環境:pro/e圓柱坐r = 5theta = t*3600z =(sin(3.5*theta-90))+24此主题相关图片如下:58.jpg59.环形二次曲线笛卡儿方程:x=50*cos(t*360)y=50*sin(t*360)z=10*cos(t*360*8)此主题相关图片如下:59.jpg60 蝶线球坐标:rho=4*sin(t*360)+6*cos(t*360^2) theta=t*360phi=log(1+t*360)*t*360此主题相关图片如下:60.jpg61.正弦周弹簧笛卡尔:ang1=t*360ang2=t*360*20x=ang1*2*pi/360y=sin(ang1)*5+cos(ang2) z=sin(ang2)此主题相关图片如下:61.jpg62.环形螺旋线x=(50+10*sin(t*360*15))*cos(t*360) y=(50+10*sin(t*360*15))*sin(t*360)z=10*cos(t*360*5)此主题相关图片如下:62.jpg63.内接弹簧x=2*cos(t*360*10)+cos(t*180*10) y=2*sin(t*360*10)+sin(t*180*10) z=t*6此主题相关图片如下:63.jpg64.多变内接式弹簧x=3*cos(t*360*8)-1.5*cos(t*480*8) y=3*sin(t*360*8)-1.5*sin(t*480*8)z=t*8此主题相关图片如下:64.jpg65.柱面正弦波线柱坐标:方程r=30theta=t*360z=5*sin(5*theta-90)此主题相关图片如下:65.jpg66. ufo (漩涡线)球坐标:rho=t*20^2theta=t*log(30)*60phi=t*7200此主题相关图片如下:66.jpg67. 手把曲线thta0=t*360thta1=t*360*6r0=400r1=40r=r0+r1*cos(thta1)x=r*cos(thta0)y=r1*sin(thta1)z=0此主题相关图片如下:67.jpg68.篮子圆柱坐标r=5+0.3*sin(t*180)+ttheta=t*360*30z=t*5此主题相关图片如下:68.gif69. 圆柱齿轮齿廓的渐开线方程:afa=60*tx=10*cos(afa)+pi*10*afa/180*sin(afa)x=10*sin(afa)-pi*10*afa/180*cos(afa)z=0注:afa为压力角,取值范围是0到60,10为基圆半径。

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