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各种曲线方程集合啦

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Post time 2008-8-25 21:45:32 | Show all posts |Read mode

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各种曲线方程集合啦

1.碟形弹簧
圓柱坐标
方程:r = 5
   theta = t*3600
   z =(sin(3.5*theta-90))+24*t




                               
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 Author| Post time 2008-8-25 21:45:42 | Show all posts
2.葉形线.
笛卡儿坐標标
方程:a=10
    x=3*a*t/(1+(t^3))
    y=3*a*(t^2)/(1+(t^3))


                               
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 Author| Post time 2008-8-25 21:45:52 | Show all posts
3.螺旋线(Helical curve)
圆柱坐标(cylindrical)
方程: r=t
    theta=10+t*(20*360)
    z=t*3


                               
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 Author| Post time 2008-8-25 21:46:02 | Show all posts
4.蝴蝶曲线
球坐标
方程:rho = 8 * t
    theta = 360 * t * 4
    phi = -360 * t * 8


                               
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 Author| Post time 2008-8-25 21:46:13 | Show all posts
5.渐开线
采用笛卡尔坐标系
方程:r=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=0


                               
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 Author| Post time 2008-8-25 21:46:24 | Show all posts
6.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


                               
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 Author| Post time 2008-8-25 21:46:33 | Show all posts
7.对数曲线
笛卡尔坐标系
方程:z=0
    x = 10*t
    y = log(10*t+0.0001)


                               
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 Author| Post time 2008-8-25 21:46:44 | Show all posts
8.球面螺旋线
采用球坐标系
方程:rho=4
   theta=t*180
   phi=t*360*20


                               
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 Author| Post time 2008-8-25 21:46:56 | Show all posts
9.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*cos(3*t*360)
    Y=3*b*sin(t*360)+l*sin(3*t*360)


                               
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 Author| Post time 2008-8-25 21:47:06 | Show all posts
10.星行线
  卡迪尔坐标
  方程:a=5
     x=a*(cos(t*360))^3
     y=a*(sin(t*360))^3


                               
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