caxa曲線公式

1、1. 碟形彈簧圓柱坐標(biāo)方程：r = 5theta = t*3600z =(sin(3.5*theta-90+24*t2. 葉形線.笛卡兒坐標(biāo)標(biāo)方程：a=10x=3*a*t/(1+(t3y=3*a*(t2/(1+(t33. 螺旋線(Helical curve圓柱坐標(biāo)（cylindrical ）方程： r=ttheta=10+t*(20*360z=t*34. 蝴蝶曲線球坐標(biāo)方程：rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 85. 漸開線采用笛卡爾坐標(biāo)系方程：r=1ang=360*ts=2*pi*r*tx0=s*cos(angy0=s*sin(ang

2、x=x0+s*sin(angy=y0-s*cos(angz=06. 螺旋線.笛卡兒坐標(biāo)方程：x = 4 * cos ( t *(5*360y = 4 * sin ( t *(5*360z = 10*t7. 對數(shù)曲線笛卡爾坐標(biāo)系方程：z=0x = 10*ty = log(10*t+0.00018. 球面螺旋線采用球坐標(biāo)系方程：rho=4theta=t*180phi=t*360*209. 雙弧外擺線卡迪爾坐標(biāo)方程： l=2.5b=2.5x=3*b*cos(t*360+l*cos(3*t*360Y=3*b*sin(t*360+l*sin(3*t*360圖910. 星行線卡迪爾坐標(biāo)方程：a=5x=a*

3、(cos(t*3603y=a*(sin(t*3603圖1011. 心臟線圓柱坐標(biāo)方程：a=10r=a*(1+cos(thetatheta=t*360圖1112. 圓內(nèi)螺旋線采用柱座標(biāo)系方程：theta=t*360r=10+10*sin(6*thetaz=2*sin(6*theta圖1213. 正弦曲線笛卡爾坐標(biāo)系方程：x=50*ty=10*sin(t*360z=0圖1314. 太陽線（這本來是做別的曲線的，結(jié)果做錯了，就變成這樣了）15. 費(fèi)馬曲線（有點(diǎn)像螺紋線）數(shù)學(xué)方程：r r = a*a*theta圓柱坐標(biāo)方程1: theta=360*t*5a=4r=a*sqrt(theta*180/pi

4、方程2: theta=360*t*5a=4r=-a*sqrt(theta*180/pi由于Pro/e只能做連續(xù)的曲線，所以只能分兩次做16.Talbot 曲線卡笛爾坐標(biāo)方程：theta=t*360a=1.1b=0.666c=sin(thetaf=1x = (a*a+f*f*c*c*cos(theta/ay = (a*a-2*f+f*f*c*c*sin(theta/b17.4葉線（一個方程做的，沒有復(fù)制）18.Rhodonea 曲線采用笛卡爾坐標(biāo)系方程：theta=t*360*4x=25+(10-6*cos(theta+10*cos(10/6-1*thetay=25+(10-6*sin(thet

5、a-6*sin(10/6-1*theta19. 拋物線笛卡兒坐標(biāo)方程：x =(4 * ty =(3 * t + (5 * t 2z =020. 螺旋線圓柱坐標(biāo)方程：r = 5theta = t*1800z =(cos(theta-90+24*t圖2021. 三葉線圓柱坐標(biāo)方程：a=1theta=t*380b=sin(thetar=a*cos(theta*(4*b*b-1圖2122. 外擺線迪卡爾坐標(biāo)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.

6、Lissajous 曲線theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+cy=b*sin(theta24. 長短幅圓內(nèi)旋輪線卡笛爾坐標(biāo)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*theta25. 長短幅圓外旋輪線卡笛爾坐標(biāo)方程：theta=t*360*10a=5b=3c=5x=(a+b*cos(theta-c*cos(a/b+1*thetay=(a+b*sin(theta-c*sin(a/b+1*theta26. 三尖瓣線

7、a=10x = a*(2*cos(t*360+cos(2*t*360 y = a*(2*sin(t*360-sin(2*t*36027. 概率曲線！方程：笛卡兒坐標(biāo)x = t*10-5y = exp(0-x228. 箕舌線笛卡兒坐標(biāo)系a = 1x = -5 + t*10y = 8*a3/(x2+4*a229. 阿基米德螺線柱坐標(biāo)a=100theta = t*400r = a*theta30. 對數(shù)螺線柱坐標(biāo)theta = t*360*2.2a = 0.005r = exp(a*theta圖3031. 蔓葉線笛卡兒坐標(biāo)系a=10y=t*100-50solvex3 = y2*(2*a-xfor x

8、32.tan 曲線笛卡兒坐標(biāo)系x = t*8.5 -4.25y = tan(x*2033. 雙曲余弦x = 6*t-3y = (exp(x+exp(0-x/2圖3334. 雙曲正弦x = 6*t-3y = (exp(x-exp(0-x/2圖3435. 雙曲正切x = 6*t-3y = (exp(x-exp(0-x/(exp(x+exp(0-x36. 一峰三駐點(diǎn)曲線x = 3*t-1.5y=(x2-13+137. 八字曲線x = 2 * cos ( t *(2*180y = 2 * sin ( t *(5*360z = 038. 螺旋曲線r=t*(10*180+1theta=10+t*(20*1

9、80z=t39. 圓x = cos ( t *(5*180y = sin ( t *(5*180z = 040. 封閉球形環(huán)繞曲線rho=2theta=360*tphi=t*360*1041. 柱坐標(biāo)螺旋曲線x = 100*t * cos ( t *(5*180y = 100*t * sin ( t *(5*180z = 042. 蛇形曲線x = 2 * cos ( (t+1 *(2*180y = 2 * sin ( t *(5*360z = t*(t+143.8字形曲線柱坐標(biāo)theta = t*360r=10+(8*sin(theta244. 橢圓曲線笛卡爾坐標(biāo)系a = 10b = 20th

10、eta = t*360x = a*cos(thetay = b*sin(theta45. 梅花曲線柱坐標(biāo)theta = t*360r=10+(3*sin(theta*2.5246. 另一個花曲線theta = t*360r=10-(3*sin(theta*32z=4*sin(theta*3247. 改一下就成為空間感更強(qiáng)的花曲線了;theta = t*360r=10-(3*sin(theta*32z=(r*sin(theta*3248. 螺旋上升的橢圓線a = 10b = 20theta = t*360*3x = a*cos(thetay = b*sin(thetaz=t*1249. 甚至這種

11、螺旋花曲線theta = t*360*4r=10+(3*sin(theta*2.52z = t*1650 鼓形線笛卡爾方程r=5+3.3*sin(t*180+ttheta=t*360*10z=t*1051 長命鎖曲線：笛卡爾方程a=1*t*359.5b=q2*t*360c=q3*t*360rr1=w1rr2=w2rr3=w3x=rr1*cos(a+rr2*cos(b+rr3*cos(cy=rr1*sin(a+rr2*sin(b+rr3*sin(c52 簪形線球坐標(biāo)方程：rho=200*ttheta=900*tphi=t*90*1053. 螺旋上升曲線r=t10theta=t3*360*6*3+

12、t3*360*3*3z=t3*(t+154. 蘑菇曲線rho=t3+t*(t+1theta=t*360phi=t2*360*20*2055. 8字曲線a=1b=1x=3*b*cos(t*360+a*cos(3*t*360Y=b*sin(t*360+a*sin(3*t*36056. 梅花曲線theta=t*360r=100+50*cos(5*thetaz=2*cos(5*theta57. 桃形曲線rho=t3+t*(t+1theta=t*360phi=t2*360*10*1058. 名稱:碟形彈簧建立環(huán)境:pro/e圓柱坐r = 5theta = t*3600z =(sin(3.5*theta-

13、90+2459. 環(huán)形二次曲線笛卡兒方程：x=50*cos(t*360y=50*sin(t*360z=10*cos(t*360*860 蝶線球坐標(biāo)：rho=4*sin(t*360+6*cos(t*3602theta=t*360phi=log(1+t*360*t*36061. 正弦周彈簧笛卡爾：ang1=t*360ang2=t*360*20x=ang1*2*pi/360y=sin(ang1*5+cos(ang2z=sin(ang262. 環(huán)形螺旋線x=（50+10*sin(t*360*15*cos(t*360y=(50+10*sin(t*360*15*sin(t*360z=10*cos(t*36

14、0*563. 內(nèi)接彈簧x=2*cos(t*360*10+cos(t*180*10y=2*sin(t*360*10+sin(t*180*10z=t*664. 多變內(nèi)接式彈簧x=3*cos(t*360*8-1.5*cos(t*480*8y=3*sin(t*360*8-1.5*sin(t*480*8z=t*865. 柱面正弦波線柱坐標(biāo)：方程r=30theta=t*360z=5*sin(5*theta-9066. ufo （漩渦線）球坐標(biāo)：rho=t*202theta=t*log(30*60phi=t*720067. 手把曲線thta0=t*360thta1=t*360*6r0=400r1=40r=r

15、0+r1*cos(thta1x=r*cos(thta0y=r1*sin(thta1z=068. 籃子圓柱坐標(biāo)r=5+0.3*sin(t*180+ttheta=t*360*30z=t*569. 圓柱齒輪齒廓的漸開線方程：afa=60*tx=10*cos(afa+pi*10*afa/180*sin(afax=10*sin(afa-pi*10*afa/180*cos(afaz=0注：afa 為壓力角，取值范圍是0到60，10為基圓半徑。70.對數(shù)螺旋曲線 柱坐標(biāo)： r=sqrt(theta theta=t*360*30 z=0 71. 罩形線 球坐標(biāo): rho=4 theta=t*60 phi=t*

16、360*10 72. 向日葵線 theta=t*360 r=30+10*sin(theta*30 z=0 73. 太陽線 r=1.5*cos(50*theta+1 theta=t*360 z=0 74 塔形螺旋線 r=t*80+50 theta=t*360*10 z=t*80 75 花瓣線 球坐標(biāo)： rho=t*20 theta=t*360*90 phi=t*360*10 76 雙元寶線 r=sin(t*360*10+30 theta=sin(t*360*15 z=sin(t*3 77 阿基米德螺線的變形（自己想得） 不知前面有沒有？:what 柱坐標(biāo)下： theta=360*2*(t-0.5

17、 r=10*theta z=0 78 改過來的漸開線方程 r=20 ang = t*360 x=r*cos(ang+2*pi*r*t*sin(ang y=r*sin(ang-2*pi*r*t*cos(ang z=0 79 雙魚曲線 球坐標(biāo)系 rho=30+10*sin(t*360*10 theta=t*180*cos(t*360*10 phi=t*360*30 80 蝴蝶結(jié)曲線 x=200*t*sin(t*3600 y=250*t*cos(t*3600 z=300*t*sin(t*1800 81 ”兩相望“曲線 球坐標(biāo)系 rho=30 theta=t*360*cos(t*360*20 phi=t*360*20 82 小蜜蜂 笛卡爾坐標(biāo)系： x=cos(t*360+cos(3*t*360 Y=sin(t*360+sin(5*t*360 83 彎月 x=cos(t*360+cos(2*t*360 Y=sin(t*360*2+sin(t*360*2 84 熱帶魚 a=5 x=(a*(cos(t*360*34*t y=(a*(sin(t*360*34*t