1、proe 曲线方程大全转载proe曲线方程大全(2010-04-16 14:23:44) 转载原文标签： 转载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*t2.葉形线笛卡儿坐標标a=10x=3*a*t/(1+(t3)y=3*a*(t2)/(1+(t3)3.螺旋线(Helical curve)圆柱坐标（cylindrical）r=ttheta=10+t*(20*360)z=t*4.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
2、=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 6.螺旋线.笛卡儿坐标x = 4 * cos ( t *(5*360)y = 4 * sin ( t *(5*360)z = 10*t 7.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
3、)+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*360 12.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：rr = a*a*theta圓柱坐标方程1: theta=360*t*5
4、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)
5、*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=0
6、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)*t
7、heta)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-x2)28.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a3/(x2+4*a2)29.阿基米德螺线柱坐标a=100theta = t*400r = a*theta 30.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*100-50solvex3 = y2*(2
8、*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=(x2-1)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=
9、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*10 41.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
10、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*si
11、n(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
12、升曲线r=t10theta=t3*360*6*3+t3*360*3*3z=t3*(t+1)54.蘑菇曲线球坐标rho=t3+t*(t+1)theta=t*360phi=t2*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=t3+t*(t+1)theta=t*360phi=t2*360*10*1058.碟形弹簧圓柱坐r = 5theta = t*36
13、00z =(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*3602)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*si
14、n(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*202theta=t*log(30)*60phi=t*720067. 手
15、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。70.对数螺旋曲线柱坐标：r=sqrt(theta)t
16、heta=t*360*30z=071. 罩形线球坐标:rho=4theta=t*60phi=t*360*1072. 向日葵线笛卡尔：theta=t*360r=30+10*sin(theta*30)z=073. 太阳线笛卡尔：r=1.5*cos(50*theta)+1theta=t*360z=074 塔形螺旋线笛卡尔：r=t*80+50theta=t*360*10z=t*8075 花瓣线球坐标：rho=t*20theta=t*360*90phi=t*360*1076 双元宝线笛卡尔：r=sin(t*360*10)+30theta=sin(t*360*15)z=sin(t*3)77 阿基米德螺线的
17、变形柱坐标theta=360*2*(t-0.5)r=10*thetaz=078 改过来的渐开线方程r=20ang = t*360x=r*cos(ang)+2*pi*r*t*sin(ang)y=r*sin(ang)-2*pi*r*t*cos(ang)z=0前面的方程是这样的：（对比研究一下两者有什么不同）采用笛卡尔坐标系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=079 双鱼曲线球坐标系rho=30+10*sin(t*360*10)theta=t*180*cos(t*360*10)
18、phi=t*360*3080 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)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x=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*3)4)*ty=(a*(sin(
19、t*360*3)4)*t85 燕尾剪x=3*cos(t*360*4)y=3*sin(t*360*3)z=t86 天蚕丝柱坐标theta=t*3600r=(cos(360*t*20)*.5*t+1)*t87 心电图圆柱坐标系：r=sin(t*360*2)+.2theta=10+t*(6*360)z=t*388 变化后的星形线迪卡尔坐标系theta=t*360x=10*cos(theta)3y=10*sin(theta)3z=cos(theta)89 小白兔theta=t*360-90r=cos(360*(t/(1+t(6.5)*6*t)*3.5+590 大家好柱坐标theta=t*360+180
20、r=cos(360*t3*6)*2+591 蛇形线笛卡尔坐标系：x=2*cos(t*360*3)*ty=2*sin(t*360*3)*tz=(sqrt(sqrt(sqrt(t)3*592 五环柱坐标：theta=t*360*4r=cos(t*360*5)+193 蜘蛛网柱坐标：theta=t*360*5r=t*sin(t*360*25)*5+894 次声波笛卡尔:x=t*5y=t*cos(t*360*8)95 十字渐开线柱坐标：theta=t*360*4r=(cos(t*360*16)*0.5*t+1)*t96 内五环笛卡尔theta=t*360*4x=2+(10-5)*cos(theta)+
21、6*cos(10/6-1)*theta)y=2+(10-5)*sin(theta)-6*sin(10/6-1)*theta)97 蜗轨线柱坐标;theta=t*360*2r=cos(t*360*30)*t*0.5+t*298.鼓鼓形线r=6*sin(t*360)+ttheta=t*360*20z=t*2099.笛卡尔坐标系的圆内螺旋线a=5b=3x=(a-b)*cos(t*360*180/pi)+b*cos(a/b -1)*t*360*180/pi)y=(a-b)* sin(t*360*180/pi)-b*sin(a/b -1)*t*360*180/pi)z=0100.肾形线柱坐标系a=2th
22、eta=t*360*180/pir=a*(1+2*sin(theta/2)z=0101.花形柱坐标theta = t*360r=5-(3*sin(theta*3)2z=(r*sin(theta*3)2the=t*360r=10+(3*sin(the*2.5)2z=5*sin(6*the)102.一朵小花圆柱坐标系theta= -t*360+180r=cos(360*t/(1+t8)*7)*3+6103. 人民币theta=-t*360+180r=cos(360*(t/(1+t6)*6)*3+5104. 天蚕丝theta=t*3600r=(cos(360*t*20)*.5*t+1)*t105. 红十字r=cos(360*t*4)*.5+1theta=t*360+90106. 波浪花带圆柱坐标系：r = 5theta = t*720z =(sin(3.5*theta-90)+2107. 正弦波笛卡尔坐标系：x=5*t*ty=sin(t*8*360)*0.5
