Proe曲线方程大全及pro/e关系式、函数的相关说明资料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*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23.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+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=b=x=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*360Pro/E 各种曲线方程集合（二）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=theta=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2526. 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2930.对数螺线柱坐标theta = t*360*a =r = 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31曲线笛卡儿坐标系x = t*y = tan(x*20)图3233.双曲余弦x = 6*t-3y = (exp(x)+exp(0-x))/2图3334.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*y=(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 = 0Pro/E 各种曲线方程集合（三）42.蛇形曲线x = 2 * cos ( (t+1) *(2*180))y = 2 * sin ( t *(5*360))z = t*(t+1)图42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4445.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*)^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4849.甚至这种螺旋花曲线theta = t*360*4r=10+(3*sin(theta*)^2z = t*16图4950 鼓形线笛卡尔方程r=5+*sin(t*180)+ttheta=t*360*10z=t*10图5051 长命锁曲线笛卡尔方程：a=1*t*b=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5152 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5354.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*theta-90))+24图5859.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)图5960 蝶线球坐标：rho=4*sin(t*360)+6*cos(t*360^2)theta=t*360phi=log(1+t*360)*t*360图6061.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)Pro/E 各种曲线方程集合（四）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)图6263.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图6364.多变内接式弹簧x=3*cos(t*360*8)*cos(t*480*8)y=3*sin(t*360*8)*sin(t*480*8)z=t*8图6465.柱面正弦波线柱坐标：方程r=30theta=t*360z=5*sin(5*theta-90)图6566. ufo （漩涡线）球坐标：rho=t*20^2theta=t*log(30)*60phi=t*7200图6667. 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图6768.篮子圆柱坐标r=5+*sin(t*180)+ttheta=t*360*30z=t*5图6869. 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。

图6970.对数螺旋曲线柱坐标：r=sqrt(theta)theta=t*360*30z=0图7071. 罩形线球坐标:rho=4theta=t*60phi=t*360*10图7172. 向日葵线theta=t*360r=30+10*sin(theta*30)z=0图7273. 太阳线r=*cos(50*theta)+1theta=t*360z=0图7374 塔形螺旋线r=t*80+50theta=t*360*10z=t*80图7475 花瓣线球坐标：rho=t*20theta=t*360*90phi=t*360*10图7576 双元宝线r=sin(t*360*10)+30theta=sin(t*360*15)z=sin(t*3)图7677 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*r=10*thetaz=0图7778 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图7879 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*30图7980 蝴蝶结曲线x=200*t*sin(t*3600)y=250*t*cos(t*3600)z=300*t*sin(t*1800)图8081 ”两相望“曲线球坐标系rho=30theta=t*360*cos(t*360*20)phi=t*360*20图81 Pro/E 各种曲线方程集合（五）82 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)图8283 弯月x=cos(t*360)+cos(2*t*360)Y=sin(t*360)*2+sin(t*360)*2图8384 热带鱼a=5x=(a*(cos(t*360*3))^4)*ty=(a*(sin(t*360*3))^4)*t图8485 燕尾剪x=3*cos(t*360*4)y=3*sin(t*360*3)z=t图8586 天蚕丝theta=t*3600r=(cos(360*t*20)*.5*t+1)*t图8687 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*t)*+5图8990 大家好theta=t*360+180r=cos(360*t^3*6)*2+5图9091 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*5图9192 五环柱坐标：theta=t*360*4r=cos(t*360*5)+1图9293 蜘蛛网柱坐标：theta=t*360*5r=t*sin(t*360*25)*5+8图9394 次声波笛卡尔:x=t*5y=t*cos(t*360*8)图9495 十字渐开线柱坐标：theta=t*360*4r=(cos(t*360*16)**t+1)*t图9596 内五环笛卡尔theta=t*360*4x=2+(10-5)*cos(theta)+6*cos((10/6-1)*theta)y=2+(10-5)*sin(theta)-6*sin((10/6-1)*theta)图9697 蜗轨线柱坐标;theta=t*360*2r=cos(t*360*30)*t*+t*2图97钣金件展开长度计算的推导在Pro/E钣金模块中，计算折弯部分的展开长度公式是：DL＝(pi/2*Ri+y_factor*t)*a/90式中：DL 板材的中性层长度Ri 折弯内径y_factor Y轴比例因子T 板材厚度a 折弯部分相对的圆心角以下是推导过程：其中，k为中性层系数（即内壁到中性层距离与板厚的比值）DL＝2＊pi（Ri+k*T)*a/360＝(pi*Ri+pi*k*T)*a/180＝ (pi/2*Ri+pi/2*k*T)*a/90令pi/2*k=y_factor则 DL＝(pi/2*Ri+y_factor*T)*a/90我个人认为，其中的k因子对我们计算展开长度有直接意义，所以在设定折弯许可的时候，设定k因子就可以了。