ug规律曲线大全.doc

11 渐开线齿轮公式式-表达式" ]5 o8 R6 m9 ]输入 d=mz7 v- c0 w; z* j2 Q6 I `5 g% M! fda=m(z+2), O7 r! ]. I6 m5 y6 qdf=m(z-2.5)9 V/ s2 n" k1 T: ?+ vt=10 H* e' E3 o, }) U1 yz=你所用的齿数 3 V1 {, Y% ^! b' bm=你用的模数a=起使角（0）b=终止角（360）! w& t- _) `2 P; v& [s=(1-t)*a+t*b; U: W3 f7 x V1 g6 a! Kr=m*z*cos(20)/23 H; v- W: ?0 Z2 b* C; Qxt=r*cos(s)+r*rad(s)*sin(s) P% q6 ?$ f* k3 S) `" d2 `yt=r*sin(s)-r*rad(s)*cos(s)* b3 Q+ k" o% u' Ozt=01 x9 l+ r+ z U# W1 a注：d:分度圆直径da:齿顶圆直径 6 v( m0 e+ l3 f/ q# O# t" D& ?df:齿根圆直径% o4 E: T! A+ k! w% t' X% Wt:系统变量从 0~1 之间z:齿数 5 Z1 C* s1 w- U+ b( g; C" cs:渐开线对应 x,y 值的角度 & H& d) w7 x% Sxt yt zt:渐开线涵数表达式* i; i: R, M' P0 hr:齿轮基圆半径(开启点坐标）cos20 的 20°为压力角，现在标准压力角都为 20 度; y u) Y G- i+ ~. W1 F, |rad(s)为渐开线弧度2.椭圆t=0a=1b=1.5r=1xt=a*r*sin(360*t)yt=b*r*cos(360*t)zt=03.螺旋线t=0a=1b=1.5c=2d=10r=1xt=a*r*sin(d*360*t)yt=b*r*cos(d*360*t)2zt=c*ta，b 为圆的参数，c 为螺距，d 为螺纹圈数4.绕圆旋转的螺旋线t=0a=1（0<1）r=5R=10b=10xt=(r*sin(b*360*t)+R)*sin(a*360*t)yt=(r*sin(b*360*t)+R)*cos(a*360*t)zt=r*cos(b*360*t)公式中 r 为小圆半径 ,R 为大圆半径，b 为小圆圈数 ，a 为大圆圈数5.圆锥形的螺旋线t=0a=1b=1.5c=2d=10e=45r=10xt=a*r*sin(d*360*t)*arctan（e）*tyt=b*r*cos(d*360*t)*arctan（e）*ta，b 为圆的参数，c 为螺距，d 为螺纹圈数，e 为角度zt=c*t6.;双外摆线b=2.5l=2.5t=1xt=3*b*cos(t*360)+l*cos(3*t*360)yt=3*b*sin(t*360)+l*sin(3*t*360)7.r;星形线a=5t=1xt=a*(cos(360*t))^3yt=a*(sin(360*t))^38.叶形线a=10t=1xt=3*a*t/(1+(t^3))3yt=3*a*(t^2)/(1+(t^3))9.r;螺纹线t=1xt=4*cos(t*(5*360))yt=4*sin(t*(5*360))zt=6*t10 蛇形线瞭=1xt=2*cos(t*360*3)*tyt=2*sin(t*360*3)*tzt=(sqrt(sqrt(sqrt(t))))^3*5瞭=1r=t*3theta=t*360*3zt=sqrt(t)*7瞭=1rho=360*sqrt(t)*2theta=t*25phi=360*t*411r;双余弦线t=1xt=-(9.5*6.5)+t*(9.5*6.5*2)yt=cos(t*360*6.5)*(6.35/2)-(6.35/2)zt=cos(t*360*8)*512r;对数线t=1xt=10*tyt=log(10*t+0.0001)13 抛物线t=1xt=(4*t)yt=(3*t)+(5*t^2)14;勾形线t=1xt=(5*(cos(t*360))^3)*tyt=(5*(sin(t*360))^3)*t15;次声波t=14xt=t*5yt=cos(t*360*8)*t16 正弦波t=1xt=5*t*tyt=sin(t*8*360)*0.517 渐开线pitch_diameter=10pressure_angle=20r=(pitch_diameter/2)*cos(pressure_angle)t=1xt=r*cos(90*t*t)+r*(90*t*t)*(pi/180)*sin(90*t*t)yt=r*sin(90*t*t)-r*(90*t*t)*(pi/180)*cos(90*t*t)18 普通外摆线r=10t=1xt=t*(2*pi*r)-sin(t*360)*ryt=r-cos(t*360)*r19;小飞机t=1xt=cos(t*360)+cos(3*t*360)yt=sin(t*360)+sin(5*t*360)20;弯月t=1xt=cos(t*360)+cos(2*t*360)yt=sin(t*360)*2+sin(t*360)*221r;五角形线t=1xt=2+(10-6)*cos(360*4*t)+10*cos((10/6-1)*(360*4*t))yt=2+(10-6)*sin(360*4*t)-6*sin((10/6-1)*(360*4*t))¯t=1xt=2+(10-6)*cos(360*4*t)+10*cos((10/6-1)*(360*4*t))yt=2+(10-6)*sin(360*4*t)-10*sin((10/6-1)*(360*4*t))¯t=1xt=2+(10-2)*cos(360*4*t)+10*cos((10/6-1)*(360*4*t))yt=2+(10-2)*sin(360*4*t)-10*sin((10/6-1)*(360*4*t))¯t=1xt=0.5+(10-6)*cos(360*5*t)+10*cos((6/10-1)*(360*5*t))5yt=0.5+(10-6)*sin(360*5*t)-10*sin((6/10-1)*(360*5*t))22.热带鱼a=5t=1xt=(a*(cos(t*360*3))^4)*tyt=(a*(sin(t*360*3))^4)*t23.双蝴蝶线t=1theta=t*360+90r=cos(360*t*5)*3+0.5zt=cos(360*t*3)*3t=1theta=t*360+18r=cos(360*t*5)*0.75+3.5zt=cos(t*360*5)*0.4t=1theta=t*360-54r=cos(360*t*5)*0.5+2.5zt=cos(t*360*5+90)*0.524 心电图t=1r=sin(t*360*2)+0.2theta=10+t*(6*360)zt=t*325r;燕尾剪t=1xt=3*cos(t*360*4)yt=3*sin(t*360*3)zt=tt=1r=t*2theta=10+t*(12*360)zt=t*326 碟形线t=1r=10+10*sin(6*t*360)zt=2*sin(6*360*t)27 花篮6t=1r=5zt=(sin(3.5*(t*720)-90))+228 小兔兔t=1theta=t*360-90r=cos(360*(t/(1+t^(6.5*t)))*6*t)*3.5+529 红十字t=1r=cos(360*t*4)*0.5+1theta=t*360+9030 心形线t=1r=10*(1+cos(t*360))t=1theta=t*360*4r=1+cos(t*360*5)t=1theta=t*360*5r=8+5*sin(t*360*5*5)*t31 太阳花t=1theta=-t*360+180r=cos(360*t/(1+t^8)*7)*3+6t=1theta=t*360r=cos(360*t*20)*0.5*t+1t=1theta=t*360*2r=cos(360*t*30)*0.5*t+2*tt=1theta=t*360*5r=cos(360*t*20)*0.5*t+132 手掌t=1theta=t*360+180r=cos(360*t^3*6)*2+5t=1theta=t*360*47r=(cos(360*t*16)*0.5*t+1)*t33.天蚕丝t=1theta=t*3600r=(cos(360*t*20)*0.5*t+1)*t34.人民币t=1theta=-t*360+180r=cos(360*(t/(1+t^6))*6)*3+5t=1rho=360*t*10theta=360*t*20phi=360*t*535 球面螺旋线t=1rho=4theta=t*180phi=t*360*1236 蝴蝶线t=1rho=8*ttheta=360*t*4phi=360*t*8t=1rho=3*ttheta=360*t*5phi=360*t*2.5t=1rho=8*ttheta=360*t*4phi=360*t*4 。