proe各种曲线方程

1、1碟形弹簧 圓柱坐标方程：r = 5theta = t*3600z =(si n(3.5*theta-90)+24*t此主题相关图片如下：1.jpg2.葉形线.笛卡儿坐標标方程：a=10 x=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=1 ang=360*t s=2*p

2、i*r*t x0=s*cos(ang) y0=s*sin(ang) x=x0+s*sin(ang) y=y0-s*cos(a ng) 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*t6. jpg7. 对数曲线 笛卡尔坐标系方程：z=0x = 10*ty = log(10*t+0.0001)7.jpg8. 球面螺旋线采用球坐标系方程：rho=4 theta=t*180 phi=t*360*209.双弧外摆线卡迪尔坐标方程：1=2.5b=2.5 x=3*b*cos(t*360)+l*cos(3*t*

3、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)A3y=a*(sin(t*360)A310.jpg11.心脏线圓柱坐标方程：a=10r=a*(1+cos(theta) theta=t*360匕主题相关图片如下:ii.jpg12.圆内螺旋线 米用柱座标系 方程：theta=t*360r=10+10*sin(6*theta)z=2*sin(6*theta)12.jpg13.正弦曲线 笛卡尔坐标系方程：x=50*ty=10*sin(t*360)z=015.费马曲线(有点像螺纹线)数学方

4、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)/b18.Rhodonea 曲线采用笛卡尔坐标系方程：theta=t*360*4x=25

5、+(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 A2)z =020.螺旋线圓柱坐标方程：r = 5theta = t*1800z =(cos(theta-90)+24*t匕主题相关图片如下:20.jpg21.三叶线圆柱坐标方程：a=1theta=t*380 b=sin(theta)r=a*cos(theta)*(4*b*b-1)匕主题相关图片如下:21.jpg22.外摆线迪卡尔坐标方程：th

6、eta=t*720*5b=8a=523. 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*10 x=(a-b)*cos(theta)+c*cos(a/b-1)*theta) y=(a-b)*sin(theta)-c*sin(a/b-1)*theta)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)*thet

7、a)y=(a+b)*sin(theta)-c*sin(a/b+1)*theta)26. 三尖瓣线a=10 x = a*(2*cos(t*360)+cos(2*t*360)y = a*(2*sin(t*360)-sin(2*t*360)26.jpg27. 概率曲线!方程：笛卡儿坐标x = t*10-5y = exp(0-xA2)28. 箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*aA3/(xA2+4*aA2)匕主题相关图片如下:28.jpg29.阿基米德螺线柱坐标a=100theta = t*400 r = a*theta30.对数螺线 柱坐标theta = t*360*2

8、.2a = 0.005r = exp(a*theta)匕主题相关图片如下:30.jpg31.蔓叶线笛卡儿坐标系a=10y=t*100-50solvexA3 = yA2*(2*a-x) for x32.tan曲线 笛卡儿坐标系x = t*8.5-4.25y = tan(x*20)匕主题相关图片如下:32.jpg33.双曲余弦 x = 6*t-3y = (exp(x)+exp(0-x)/233.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)+e

9、xp(0-x)_此主题相关图片如下：35.jpg36. 峰三驻点曲线x = 3*t-1.5y=(xA2-1)A3+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)39.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 = 0匕主题相关图片如下:41

10、.jpg42.蛇形曲线x = 2 * cos ( (t+1)*(2*180)y = 2 * sin ( t *(5*360)z = t*(t+1)匕主题相关图片如下:42.jpg43.8字形曲线 柱坐标theta = t*360r=10+(8*sin(theta)F244.椭圆曲线 笛卡尔坐标系b = 20 theta = t*360 x = 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)F246.另一个花曲线theta = t*360r=10-(3*sin(t

11、heta*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)F2z=(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)F2z = 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：

12、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)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*1053.螺旋上升曲线r

13、=tA10theta=tA3*360*6*3+U3*360*3*3z=tA3*(t+1)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)56.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=tA3+t*(t+1)theta=t*360phi=tA2*360*10*1058.名稱:碟形弹簧建立環境：pro/e圓柱坐r = 5theta = t*3600z =(sin(3.5*theta-9

14、0)+2458.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)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y=(50+10*sin(t*360*15)*sin(t*360)z=10*cos(t*360*5)63.内接弹簧

15、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)66. ufo (漩涡线)球坐标：theta=t*log(30)*60phi=t*720067.手把曲线thta0=t*360 thta1=t*360*6 r0=400 r1=40 r=r0+r1*cos(

16、thta1) x=r*cos(thta0) y=r1*sin(thta1) z=067.jpg68.篮子圆柱坐标r=5+0.3*sin(t*180)+ttheta=t*360*30z=t*5I此匕主题相关图片如下: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。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=4