Pro／E各种曲线方程集合

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(3.5*theta-90))+24*t2.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))3.螺旋线(Helicalcurve)圆柱坐标（cylindrical）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=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*tTheStandardisdownloadedfrom对数曲线笛卡尔坐标系方程：z=0x=10*ty=log(10*t+0.0001)8.球面螺旋线采用球坐标系方程：rho=4theta=t*180phi=t*360*209.双弧外摆线卡迪尔坐标方程：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.星行线卡迪尔坐标方程：a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^311.心脏线圓柱坐标方程：a=10r=a*(1+cos(theta))theta=t*36012.圆内螺旋线采用柱座标系方程：theta=t*360r=10+10*sin(6*theta)z=2*sin(6*theta)TheStandardisdownloadedfrom正弦曲线笛卡尔坐标系方程：x=50*ty=10*sin(t*360)z=015.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(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)/b18.Rhodonea曲线采用笛卡尔坐标系方程：theta=t*360*4x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta)y=25+(10-6)*sin(theta)-6*sin((10/6-1)*theta)19.抛物线笛卡儿坐标方程：x=(4*t)y=(3*t)+(5*t^2)z=020.螺旋线圓柱坐标方程：r=5theta=t*1800z=(cos(theta-90))+24*t21.三叶线圆柱坐标方程：a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)TheStandardisdownloadedfrom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=023.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)25.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)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！方程：笛卡儿坐标x=t*10-5y=exp(0-x^2)28.箕舌线笛卡儿坐标系a=1x=-5+t*10y=8*a^3/(x^2+4*a^2)TheStandardisdownloadedfrom=100theta=t*400r=a*theta30.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*100-50solvex^3=y^2*(2*a-x)forx32.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))TheStandardisdownloadedfrom=3*t-1.5y=(x^2-1)^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=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*1041.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)TheStandardisdownloadedfrom=t*360r=10+(8*sin(theta))^244.椭圆曲线笛卡尔坐标系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*sin(theta)z=t*12TheStandardisdownloadedfrom=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*1060蝶线球坐标：rho=4*sin(t*360)+6*cos(t*360^2)theta=t*360phi=log(1+t*360)*t*36079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*3080蝴蝶结曲线x=200*t*sin(t*3600)y=250*t*cos(t*3600)z=300*t*sin(t*1800)TheStandardisdownloadedfrom