ProE各种曲线方程集合

1、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+(tA3)y=3*a*(tA2)/(1+(tA3)3.螺旋线(Helical curve) 圆柱坐标(cylindrical) 方程：r=t theta=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=1ang=360*t笛卡尔坐标系方程：z=0x

2、 = 10*ty = log(10*t+0.0001)8.球面螺旋线采用球坐标系方程：rho=4 theta=t*180 phi=t*360*2010.星行线卡迪尔坐标方程：a=5x=a*(cos(t*360)A39.双弧外摆线 卡迪尔坐标方程：1=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)圓柱坐标a=4a=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r=a*sqrt(theta*180/pi) 方程 2: theta=360*t*5方程 1:

3、theta=360*t*515.费马曲线(有点像螺纹线) 数学方程：r * r = a*a*thetaa=1b=0.666c=sin(theta)f=1x=25+(10-6)*cos(theta)+10*cos(10/6-1)*theta)17.4叶线一个方程做的，没有复制方程：theta=t*360方程：theta=t*360*4y = (a*a-2*f+f*f*c*c)*sin(theta)/b18.Rhodonea 曲线采用笛卡尔坐标系x = (a*a+f*f*c*c)*cos(theta)/a16.Talbot 曲线卡笛尔坐标y=25+(10-6)*sin(theta)-6*sin(1

4、0/6-1)*theta)19. 抛物线笛卡儿坐标方程：x =(4 * t)y =(3 * t) + (5 * t A2)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)z=0th

5、eta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)b=724.长短幅圆内旋轮线 卡笛尔坐标23. Lissajous 曲线方程：a=5c=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

6、+1)*theta)a=10笛卡儿坐标26.三尖瓣线27.概率曲线!方程：y = a*(2*sin(t*360)-sin(2*t*360)x = t*10-5x = a*(2*cos(t*360)+cos(2*t*360)y = exp(0-xA2)28.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*日人3心人2+4*日人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=10 y=t*100-50 sol

7、ve xA3 = yA2*(2*a-x)for x32.tan曲线笛卡儿坐标系29 H X MHffi2r 寸coQ(x6)dx(D+(x)dx(D) H A29 H X M<ffi2rcoco(04*x)uel H A &寸 9od*l H Xy = (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=(xA2-1)A3+138.螺旋曲线r=t*(io*i8O)+1 theta=10+t*(20*180)z=t39.圆y = sin ( t

8、*(5*180)z = 0x = cos ( t *(5*180)40.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 = 0090*1 M eg(eo)£)u_s*q M A (ea>£)soo*e H x090*1 M eg张w另氐平迪 照«画聲.寸寸4v(?(d£)u sso)+0lmr=10+(3*sin(theta*2.5)F246.另一个花曲线theta = t*360r=1

9、0-(3*sin(theta*3)A2z=4*sin(theta*3)A247.改一下就成为空间感更强的花曲线了;)theta = t*360r=10-(3*sin(theta*3)A2z=(r*sin(theta*3)F248.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)A209co*rcobu。09co*r4bMq9.6gco*rLue 照ffi珮來L9orvN 0F09CO* 芥 ea>

10、;£ +(08L*l)u 一 s*coco+gM9L*1 H Nrr1=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)51长命锁曲线笛卡尔方程：a=1*t*359.5b=q2*t*360c=q3*t*360rr仁w1rr2=w2rr3=w3x=rr1*cos(a)+rr2*cos(b)+rr3*cos(c)y=rr1*sin(a)+rr2*sin(b)+rr3*sin(c) 图 5152簪形线球坐标方程：rho=200*ttheta=900*tphi=t*90*

11、1053.螺旋上升曲线r=tA10theta=tA3*360*6*3+tA3*360*3*3z=tA3*(t+1)54.蘑菇曲线rho=tA3+t*(t+1) theta=t*360 phi=tA2*360*20*2055. 8字曲线a=1b=1x=3*b*cos(t*360)+a*cos(3*t*360)theta=t*360phi=tA2*360*10*10x=50*cos(t*360)y=50*sin(t*360)59.环形二次曲线 笛卡儿方程：z =(sin(3.5*theta-90)+24theta = t*3600r = 558.名稱:碟形弹簧建立環境:pro/e圓柱坐z=10*c

12、os(t*360*8)60蝶线球坐标：rho=4*sin(t*360)+6*cos(t*360A2)theta=t*360phi=log(1+t*360)*t*36061.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)z=10*cos(t*360*5)63.内接弹簧x=2*cos(t*360*10)+cos(t*180*10)

13、y=2*sin(t*360*10)+sin(t*180*10)z=t*664.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*865.柱面正弦波线柱坐标方程r=30theta=t*360z=5*sin(5*theta-90)球坐标rho=t*20A2theta=t*log(30)*60phi=t*720066. ufo (漩涡线)67.手把曲线thta0=t*360 thta1=t*360*6 r0=400 r1=40 r=r0+r1*cos(thta1) x=r*cos(thta0) y

14、=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：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。70.对数螺旋曲线柱坐标：r=sqrt(theta)theta=t*360*30z=071.罩形线球坐标：rho=4theta=t*60phi=t*360*1072.向日葵线theta=t*360r=30+

15、10*sin(theta*30)z=073.太阳线r=1.5*cos(50*theta)+1theta=t*360z=074塔形螺旋线r=t*80+50theta=t*360*10z=t*8075花瓣线球坐标：rho=t*20theta=t*360*90phi=t*360*1076双元宝线r=sin(t*360*10)+30theta=sin(t*360*15) z=sin(t*3)77阿基米德螺线的变形(自己想得)不知前面有没有？:what柱坐标下：theta=360*2*(t-0.5)r=10*thetaz=078改正来的渐开线方程r=20ang = t*360 x=r*cos(ang)+

16、2*pi*r*t*sin(ang) y=r*sin(ang)-2*pi*r*t*cos(ang)z=079双鱼曲线球坐标系rho=30+10*sin(t*360*10) theta=t*180*cos(t*360*10) phi=t*360*3080蝴蝶结曲线x=200*t*sin(t*3600)y=250*t*cos(t*3600)z=300*t*sin(t*1800)81 两相望曲线 球坐标系rho=30theta=t*360*cos(t*360*20)phi=t*360*2082小蜜蜂笛卡尔坐标系:x=cos(t*360)+cos(3*t*360)Y=sin(t*360)+sin(5*t*360)83弯月3_PEFx=cos(t*360)+cos(2*t*360)Y=sin(t*360)*2+sin(t*360)*284热带鱼a=5x=(a*(cos(t*360