proe各种曲线方程集合电子版本.doc

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1、Good is good, but better carries it.精益求精，善益求善。proe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*t图12.葉形线.笛卡儿坐標标方程：a=10x=3*a*t/(1+(t3)y=3*a*(t2)/(1+(t3)图23.螺旋线(Helicalcurve)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=

2、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+0.0001)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=2.5b=2.5x=3*b*cos(t*360)+l*cos(3*t*360)Y=3*b*sin(t*360)+

3、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*360图1112.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)图1213.正弦曲线笛卡尔坐标系方程：x=50*ty=10*sin(t*360)z=0图1314.太阳线（这本来是做别的曲线的，结果做错了，就变成这样了）图1415.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:

4、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，所以只能分两次做图1516.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)/b图1617.4叶线（一个方程做的，没有复制）图1718.Rhodonea曲线采用笛卡尔坐标系方程：theta=t*360*4x=25+(10-6)*c

5、os(theta)+10*cos(10/6-1)*theta)y=25+(10-6)*sin(theta)-6*sin(10/6-1)*theta)图1819.抛物线笛卡儿坐标方程：x=(4*t)y=(3*t)+(5*t2)z=0图1920.螺旋线圓柱坐标方程：r=5theta=t*1800z=(cos(theta-90)+24*t图2021.三叶线圆柱坐标方程：a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)图2122.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)

6、*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=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)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)*co

7、s(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-x2)图2728.箕舌线笛卡儿坐标系a=1x=-5+t*10y=8*a3/(x2+4*a2)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*2.2a=0.005r=ex

8、p(a*theta)图3031.蔓叶线笛卡儿坐标系a=10y=t*100-50solvex3=y2*(2*a-x)forx图3132.tan曲线笛卡儿坐标系x=t*8.5-4.25y=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*t-1.5y=(x2-1)3+1图3637.八字曲线x=2*cos(t*(2*180)y=2*sin(t*(5*

9、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=0图4142.蛇形曲线x=2*cos(t+1)*(2*180)y=2*sin(t*(5*360)z=t*(t+1)图4243.8字形曲线柱坐标theta=t*360r=10+(8*sin(theta)2图4344.椭

10、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*2.5)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

11、)z=t*12图4849.甚至这种螺旋花曲线theta=t*360*4r=10+(3*sin(theta*2.5)2z=t*16图4950鼓形线笛卡尔方程r=5+3.3*sin(t*180)+ttheta=t*360*10z=t*10图5051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*sin(c)图5152簪形线球坐标方程：rho=200*ttheta=900*tphi=t*90*10图5253

12、.螺旋上升曲线r=t10theta=t3*360*6*3+t3*360*3*3z=t3*(t+1)图5354.蘑菇曲线rho=t3+t*(t+1)theta=t*360phi=t2*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=t3+t*(t+1)theta=t*360phi=t2*360*10*10图5758.名稱:碟形弹簧建立

13、環境:pro/e圓柱坐r=5theta=t*3600z=(sin(3.5*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*3602)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)图6162.环形螺旋线x=（50+10*sin(t

14、*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)-1.5*cos(t*480*8)y=3*sin(t*360*8)-1.5*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：

15、rho=t*202theta=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+0.3*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

16、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=1.5*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)+30

17、theta=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*(t-0.5)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*c

18、os(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8182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

19、*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*3图8788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(6.5)*6*t)*3.5+5图8990大家好theta=t*360+180r=cos(360*t3*6)*2+5图9091蛇形线笛卡尔坐标系：x=2*cos(

20、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)*0.5*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*0.5+t*2图97-