PROE各种常见曲线方程及图示.docx

1、PROE各种常见曲线方程及图示PRO/E各种常见曲线方程及图示 1.碟形弹簧 圓柱坐标 方程：r = 5 theta = t*3600 z =(sin(3.5*theta-90)+24*t 2.葉形线.笛卡儿坐標标方程：a=10 x=3*a*t/(1+(t3) y=3*a*(t2)/(1+(t3)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 * t theta = 360 * t * 4 phi = -360 * t * 85.渐开线采用笛卡尔坐标系方程：r=

2、1 ang=360*t s=2*pi*r*t x0=s*cos(ang) y0=s*sin(ang) x=x0+s*sin(ang) y=y0-s*cos(ang) 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*t7.对数曲线笛卡尔坐标系 方程：z=0 x = 10*t y = 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*209.双弧外摆线卡迪尔坐标 方程： l=2.5 b=2.5 x=3*b*cos(t*360)+l

3、*cos(3*t*360) Y=3*b*sin(t*360)+l*sin(3*t*360)10.星行线卡迪尔坐标 方程：a=5 x=a*(cos(t*360)3 y=a*(sin(t*360)311.心脏线圓柱坐标方程：a=10 r=a*(1+cos(theta) theta=t*36012.圆内螺旋线采用柱座标系 方程：theta=t*360 r=10+10*sin(6*theta) z=2*sin(6*theta)13.正弦曲线笛卡尔坐标系 方程：x=50*t y=10*sin(t*360) z=014.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: the

4、ta=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，所以只能分两做15.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)/b16.Rhodonea 曲线 采用笛卡尔坐标系 方程：theta=t*360*4 x=25+(10-6)*cos(theta)+10*cos(10/6-

5、1)*theta) y=25+(10-6)*sin(theta)-6*sin(10/6-1)*theta)17.抛物线 笛卡儿坐标方程：x =(4 * t) y =(3 * t) + (5 * t 2) z =018.螺旋线圓柱坐标方程：r = 5 theta = t*1800 z =(cos(theta-90)+24*t19.三叶线圆柱坐标方程：a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1) 20.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=(

6、a+b)*sin(theta)-b*sin(a/b+1)*theta)z=021.Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)22.长短幅圆内旋轮线卡笛尔坐标方程：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)23.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

7、+1)*theta)y=(a+b)*sin(theta)-c*sin(a/b+1)*theta)24.三尖瓣线a=10x = a*(2*cos(t*360)+cos(2*t*360)y = a*(2*sin(t*360)-sin(2*t*360)25.概率曲线！方程：笛卡儿坐标x = t*10-5y = exp(0-x2)26.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a3/(x2+4*a2)27.阿基米德螺线柱坐标a=100theta = t*400r = a*theta28.对数螺线柱坐标theta = t*360*2.2a = 0.005r = exp(a*the

8、ta)29.蔓叶线笛卡儿坐标系a=10y=t*100-50solvex3 = y2*(2*a-x)for x30.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20)31.双曲余弦x = 6*t-3y = (exp(x)+exp(0-x)/232.双曲正弦x = 6*t-3y = (exp(x)-exp(0-x)/233.双曲正切x = 6*t-3y = (exp(x)-exp(0-x)/(exp(x)+exp(0-x)34.一峰三驻点曲线x = 3*t-1.5y=(x2-1)3+135.八字曲线 x = 2 * cos ( t *(2*180) y = 2 * si

9、n ( t *(5*360) z = 036.螺旋曲线r=t*(10*180)+1theta=10+t*(20*180)z=t37.圆x = cos ( t *(5*180) y = sin ( t *(5*180) z = 038.封闭球形环绕曲线rho=2theta=360*tphi=t*360*1039.柱坐标螺旋曲线x = 100*t * cos ( t *(5*180) y = 100*t * sin ( t *(5*180) z = 040.蛇形曲线x = 2 * cos ( (t+1) *(2*180) y = 2 * sin ( t *(5*360) z = t*(t+1)41

10、.8字形曲线柱坐标theta = t*360r=10+(8*sin(theta)242.椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta)y = b*sin(theta)43.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5)244.另一个花曲线theta = t*360r=10-(3*sin(theta*3)2z=4*sin(theta*3)245.螺旋上升的椭圆线a = 10b = 20theta = t*360*3x = a*cos(theta)y = b*sin(theta)z=t*1246.螺旋花曲

11、线theta = t*360*4r=10+(3*sin(theta*2.5)2z = t*1647. 鼓形线 笛卡尔方程r=5+3.3*sin(t*180)+ttheta=t*360*10z=t*10 48. 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*49. 簪形线球坐标 方程：rho=200*ttheta=900*tphi=t*90*1050.螺旋上升曲线r=t10theta=t3*360*6

12、*3+t3*360*3*3z=t3*(t+1)51.蘑菇曲线rho=t3+t*(t+1)theta=t*360phi=t2*360*20*2052. 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)53.梅花曲线theta=t*360r=100+50*cos(5*theta)z=2*cos(5*theta)54.桃形曲线rho=t3+t*(t+1)theta=t*360phi=t2*360*10*1055.名稱:碟形弹簧 建立環境:pro/e 圓柱坐 r = 5 theta = t*3600 z =(s

13、in(3.5*theta-90)+2456.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)57. 蝶线球坐标：rho=4*sin(t*360)+6*cos(t*3602)theta=t*360phi=log(1+t*360)*t*36058.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)59.环形螺旋线x=（50+10*sin(t*360*15)*cos(t*360)y=(50+10*sin(t*360*15)*