各种曲线的Proe方程.doc

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1、1.碟形弹簧(柱坐标>方程：r=5theta=t*3600z=(sin(3.5*theta-90>>+24*t2.葉形线.方程：a=10x=3*a*t/(1+(t^3>>y=3*a*(t^2>/(1+(t^3>>3.锥形螺旋线(Helicalcurve>方程：r=ttheta=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.渐开线方程：r=1ang=360*ts=2*pi*r*tx0=s*cos(ang>y0=s*sin(ang>

2、x=x0+s*sin(ang>y=y0-s*cos(ang>z=0(相似形：69、78>6.圆柱螺旋线.方程：x=4*cos(t*(5*360>>y=4*sin(t*(5*360>>z=10*t7.对数曲线方程：z=0x=10*ty=log(10*t+0.0001>8.球面螺旋线方程：rho=4theta=t*180phi=t*360*209.双弧外摆线方程：l=2.5b=2.5x=3*b*cos(t*360>+l*cos(3*t*360>Y=3*b*sin(t*360>+l*sin(3*t*360>10.星形线

3、方程：a=5x=a*(cos(t*360>>^3y=a*(sin(t*360>>^311.心脏线方程：a=10r=a*(1+cos(theta>>theta=t*36012.圆内螺旋线方程：theta=t*360r=10+10*sin(6*theta>z=2*sin(6*theta>13.正弦线方程：x=50*ty=10*sin(t*360>z=014.太阳线(发光的太阳，见73>15.费马曲线<有点像螺纹线）数学方程：r＊r=a*a*theta圓柱坐标方程1:theta=360*t*5a=4r=a*sqrt(t

4、heta*180/pi>方程2:theta=360*t*5a=4r=-a*sqrt(theta*180/pi>Pro/e只能做连续的曲线，所以要分两次做16.Talbot曲线方程：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>/b17.四叶线(一个方程，比三叶线多一个叶子>18.Rhodonea曲线方程：theta=t*360*4x=25+(10-6>*cos(thet

5、a>+10*cos((10/6-1>*theta>y=25+(10-6>*sin(theta>-6*sin((10/6-1>*theta>19.抛物线方程：x=(4*t>y=(3*t>+(5*t^2>z=020.螺旋线7/7方程：r=5theta=t*1800z=(cos(theta-90>>+24*t21.三叶线方程：a=1theta=t*380b=sin(theta>r=a*cos(theta>*(4*b*b-1>22.外摆线方程：theta=t*720*5b=8a=5x=(a+b>*cos(theta>-b

6、*cos((a/b+1>*theta>y=(a+b>*sin(theta>-b*sin((a/b+1>*theta>z=023.Lissajous曲线方程：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>z=0(?>2

7、5.长短幅圆外旋轮线方程：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>z=0(?>(与22线同？>26.三尖瓣线方程：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！方程：x=t*10-5y=exp(0-x^2>28.箕舌线方程：a=1x=-5+t*10y=8

8、*a^3/(x^2+4*a^2>29.阿基M德螺线方程：a=100theta=t*400r=a*theta30.对数螺线方程：theta=t*360*2.2a=0.005r=exp(a*theta>31.蔓叶线方程：a=10y=t*100-50solvex^3=y^2*(2*a-x>forx32.正切线方程：x=t*8.5-4.25y=tan(x*20>33.双曲余弦方程