各种曲线PROE的参数方程(精)

1、各种曲线PROE的参数方程1.碟形弹簧(柱坐标方程:r = 5theta = t*3600 z =(sin(3.5*theta-90+24*t 2.葉形线.方程:a=10x=3*a*t/(1+(tA3 y=3*a*(tA2/(1+(tA3 3.锥形螺旋线(Helical curve 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 * 4 phi = -360 * t * 8 5.渐开线方程:r=1an g=360*ts=2*pi*r*tx0=s*cos(a ngy0=s*s in(angx=x0+s*s

2、 in(ang y=y0-s*cos(a ng z=0 （相似形:69、786. 圆柱螺旋线.方程:x = 4 * cos ( t *(5*360 y = 4 * sin (t *(5*360 z = 10*t7. 对数曲线方程:z=0x = 10*ty = log(10*t+0.0001 8.球面螺旋线方程:rho=4theta=t*180phi=t*360*209. 双弧外摆线方程:l=2.5b=2.5x=3*b*cos(t*360+l*cos(3*t*360 Y=3*b*si n(t*360+l*si n(3*t*36010. 星形线方程:a=5x=a*(cos(t*360A3 y=a*

3、(sin(t*360W 11.心脏线方程:a=10 r=a*(1+cos(theta theta=t*360 12.圆内螺旋线方程:theta=t*360 r=10+10*si n(6*theta z=2*si n(6*theta 13.正弦线方程:x=50*t y=10*si n(t*360 z=014.太阳线(发光的太阳，见73 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*5 a=4r= a*sqrt(theta*180/pi方程 2: theta=360*t*5a=4r= -a*sqrt(theta*180/piPr

4、o/e只能做连续的曲线，所以要分两次做16.Talbot曲线方程:theta=t*360a=1.1b=0.666c=s in (thetaf=1x = (a*a+f*f*c*c*cos(theta/a y = (a*a-2*f+f*f*c*c*s in (theta/b 17. 四叶线(一个方程，比三叶线多一个叶子18.Rhodo nea 曲线方程:theta=t*360*4x=25+(10-6*cos(theta+10*cos(10/6-1*theta y=25+(10-6*si n(theta-6*si n(10/6- 1*theta 19.抛物线方程:x =(4 * ty =(3 * t

5、 + (5 * t A2z =020.螺旋线方程:r = 5theta = t*1800z =(cos(theta-90+24*t 21.三叶线方程:a=1theta=t*380b=s in (thetar=a*cos(theta*(4*b*b-1 22.外摆线方程: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 曲线方程:theta=t*360a=1b=1c=100n=3x=a*s in(n *theta+cy=b*s in (t

6、heta24. 长短幅圆内旋轮线方程: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 z=0 (?25. 长短幅圆外旋轮线方程: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 z=0 (?(与 22线同？26. 三尖瓣线方程:a=10x = a*(2*cos(t*360+cos(2*t*360 y = a*(2*sin

7、(t*360-sin(2*t*36027. 概率曲线！方程:x = t*10-5y = exp(0-xA2方程:a = 1x = -5 + t*10y = 8*&八3/仪八2+4*&八2 29.阿基米德螺线 方程:a=100theta = t*400 r = a*theta30.对数螺线方程:theta = t*360*2.2 a = 0.005r = exp(a*theta 31.蔓叶线方程:a=10y=t*100-50solvexA3 = yA2*(2*a-x for x32.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

8、 = (exp(x+exp(0-x/2方程:x = 6*t-3y = (exp(x-exp(0-x/235.双曲正切方程:x = 6*t-3y = (exp(x-exp(0-x/(exp(x+exp(0-x 36. 一峰三驻点曲线方程:x = 3*t-1.5y=(xA2-1A3+137. ” 8字曲线方程:x = 2 * cos ( t *(2*180y = 2 * sin ( t *(5*360 z = 0(同形:55,相似:4338. 螺旋线方程:r=t*(10*180+1theta=10+t*(20*180z=t(其它螺旋线方程：3、6、20、41、53、62 39.圆方程:x=cos(

9、t*5*180y=s in (t*5*180z=040. 封闭球形环绕曲线方程:rho=2theta=360*tphi=t*360*10(相似形:22、24、2541. 螺旋线方程:x = 100*t * cos ( t *(5*180 y = 100*t * si n ( 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+143. 墨镜线方程:theta = t*360r=10+(8*si n(theta2(相似形:37、55

10、44. 椭圆线方程:a = 10b = 20theta = t*360x = a*cos(thetay = b*s in( theta45. 梅花线(圆角五星方程:theta = t*360 r=10+(3*s in (theta*2.5T 46.直叶六叶线方程:theta = t*360 r=10-(3*si n(theta*3T z=4*si n( theta*3A2 47.弯叶六叶线方程:theta = t*360 r=10-(3*si n(theta*3A2 z=(r*si n(theta*3A2 48.空间螺旋椭圆线方程:a = 10 b = 20theta = t*360*3x =

11、 a*cos(theta y = b*s in (thetaz=t*1249.空间螺旋梅花线 方程:theta = t*360*4 r=10+(3*sin(theta*2A2 z = t*1650鼓形线方程:r=5+3.3*si n( t*180+t theta=t*360*10z=t*1051.长命锁线方程: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 簪形线方程:rho=200*ttheta=900*tph

12、i=t*90*1053.锁呐线方程:r=tA10theta=tA3*360*6*3+tA3*360*3*3 z=tA3*(t+1(其它螺旋线方程：3、6、20、38、41、62 54.蘑菇线方程:rho=tA3+t*(t+1theta=t*360phi=tA2*360*20*2055. “ 8字线方程:a=1b=1x=3*b*cos(t*360+a*cos(3*t*360 y=b*si n(t*360+a*si n(3*t*360 ( 同形:37,相似:4356. 梅花线方程:theta=t*360r=100+50*cos(5*theta z=2*cos(5*theta（同形:4557. 桃形

13、线方程:rho=tA3+t*(t+1theta=t*360phi=tA2*360*10*10 (相似形:5458. :碟簧方程:r = 5theta = t*3600z =(si n(3.5*theta-90+2459. 环形二次曲线方程:x=50*cos(t*360 y=50*si n(t*360z=10*cos(t*360*860蝶线方程:rho=4*sin(t*360+6*cos(t*360A2 theta=t*360phi=log(1+t*360*t*36061. 正弦周弹簧方程:an g仁t*360an g2=t*360*20x=a ng1*2*pi/360y=s in(an g1*

14、5+cos(a ng2z=s in(ang262. 环形螺旋线方程:x=(50+10*s in (t*360*15*cos(t*360 y=(50+10*si n(t*360*15*si n(t*360z=10*cos(t*360*5(其它螺旋线方程：3、6、20、38、41、53 63.内接弹簧方程:x=2*cos(t*360*10+cos(t*180*10 y=2*si n( t*360*10+si n( t*180*10 z=t*664. 多变内接式弹簧方程:x=3*cos(t*360*8-1.5*cos(t*480*8 y=3*si n(t*360*8-1.5*si n( t*480*

15、8 z=t*865. 柱面正弦波线方程:r=30theta=t*360z=5*si n(5*theta-9066. UFO(漩涡线方程:rho=t*20A2theta=t*log(30*60phi=t*720067. 手把曲线方程:theta=t*360theta仁 t*360*6r0=400r1=40r=r0+r1*cos(theta1x=r*cos(thta0y=r1*si n(thta1z=068. 无底篮子方程:r=5+0.3*s in (t*180+t theta=t*360*30z=t*569. 圆柱齿轮齿廓的渐开线方程力程:afa=60*tx=10*cos(afa+pi*10*a

16、fa/180*s in (afax=10*si n(afa-pi*10*afa/180*cos(afa z=0注:afa为压力角,060, 10为基圆半径70.对数螺旋曲线(唱片方程:r=sqrt(thetatheta=t*360*30z=071. 球面螺旋线(罩形方程:rho=4theta=t*60phi=t*360*1072. 向日葵线方程:theta=t*360r=30+10*si n( theta*30z=073. 太阳线方程:r=1.5*cos(50*theta+1 theta=t*360z=074塔形螺旋线方程:r=t*80+50theta=t*360*10z=t*8075.九瓣花

17、方程:rho=t*20theta=t*360*90phi=t*360*1076双元宝线方程:r=si n(t*360*10+30 theta=s in (t*360*15z=si n(t*377变形阿基米德螺线(双向 方程:theta=360*2*(t-0.5 r=10*thetaz=0(相似形:2978渐开线方程r=20ang = t*360x=r*cos(a ng+2*pi*r*t*s in (a ng y=r*si n(an g-2*pi*r*t*cos(a ng z=0(相似形:5、6979双鱼曲线方程:rho=30+10*si n(t*360*10 theta=t*180*cos(t

18、*360*10 phi=t*360*3080蝴蝶结曲线方程:x=200*t*si n(t*3600 y=250*t*cos(t*3600z=300*t*s in (t*180081.两相望”曲线方程:rho=30theta=t*360*cos(t*360*20 phi=t*360*2082小蜜蜂方程:x=cos(t*360+cos(3*t*360 y=sin(t*360+sin(5*t*360 83 弯月方程:x=cos(t*360+cos(2*t*360 y=si n(t*360*2+si n( t*360*2 84 热带鱼方程:a=5x=(a*(cos(t*360*3A4*t y=(a*(

19、si n( t*360*3A4*t 85 燕尾剪方程:x=3*cos(t*360*4 y=3*si n(t*360*3z=t86天蚕丝方程:theta=t*3600 r=(cos(360*t*20*5*t+1*t87心电图方程:r=si n(t*360*2+.2 theta=10+t*(6*360z=t*388. 变化后的星形线方程:theta=t*360 x=10*cos(thetaA3y=10*si n(thetaA3z=cos(theta89. 小白兔方程:theta=t*360-90 r=cos(360*(t/(1+tA(6.5*6*t*3.5+5 90.手掌方程:theta=t*36

20、0+180 r=cos(360*tA3*6*2+5 91.锁呐线方程:x=2*cos(t*360*3*t y=2*s in (t*360*3*tz=(sqrt(sqrt(sqrt(tA3*5 (同形:5392. 五环方程:theta=t*360*4 r=cos(t*360*5+193. 蜘蛛网方程:theta=t*360*5r=t*s in (t*360*25*5+894. 次声波方程:x=t*5y=t*cos(t*360*895. 十字渐开线方程:theta=t*360*4r=(cos(t*360*16*0.5*t+1*t96. 内五环方程:theta=t*360*4x=2+(10-5*co

21、s(theta+6*cos(10/6-1*theta y=2+(10-5*s in (theta-6*si n(10/6-1*theta97. 蜗轨线方程:theta=t*360*2r=cos(t*360*30*t*0.5+t*2星形线：数学方程:x=a*cos3(ty=a*s in3(t心脏线：数学方程:r = 2a(1+cos(悬链线：数学方程:y=a*cosh(x/a克莱线：数学方程:r=4a*cos3( B蜗牛线：数学方程:r=a*sin(0 / 0(做不出来？ Why蔓叶线：数学方程:r=2a*tan( 0 sin分02段做曳物线：数学方程:x=1/cosh(ty=t-ta nh(t

22、份两段做平摆线：数学方程:x=at-h*sin(ty=a-h*cos(t(做出来形状不对？外摆线:数学方程:x=(a+bcos -lfcos(a+b/b 0y=(a+bsin -ISin(a+b/b0 基B、滚圆、摆点半径,公转角 内摆线:数学方程:x=(a-bcos 0 +lcos(-a/b 0y=(a-bsin 0 +lsin/b 0 (a基圆、滚圆、摆点半径,公转角蚌线：数学方程:a(r*cos -a=k2cos2 0做不出全360度的？三尖瓣线：数学方程:x=a(2cost+cos2t y=a(2sint-sin2t(将 2变为n-1即扩展为n尖瓣线Devils曲线：数学方程：r=(25-24tan2 0 /(1an2 0 1/2做不出8字曲线：数学方程：r2=a2cos2 0 sec4做不出双叶线：数学方程:r=4a*cos 0 *sin2费马线：数学方程:r2=a2 0份两段做对数螺线(等角螺线:数学方程:r=aem 0阿基米德螺线(等径螺线数学方程:r=a 0叶形线：数学方程：r=4a*cos 0 sin-bcfos 0迪卡尔叶形线：数学方程:x=3at/(1+t3 y=3at2/(1+t3 肾形线:数学方程:r=a(1+2sin(0双曲螺线：数学方程: