1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! f
da=m(z 2), O7 r! ]. I6 m5 y6 q
df=m(z-2.5)9 V/ s2 n" k1 T: ? v
t=10 H* e' E3 o, }) U1 y
z=你所用的齿数3 V1 {, Y% ^! b' b
m=你用的模数
6 m/ D& u. n& m) c c- J5 z5 P a=起使角（0）
7 P W- a6 E* U4 c& L$ I b=终止角（360）! w& t- _) `2 P; v& [
s=(1-t)*a t*b; U: W3 f7 x V1 g6 a! K
r=m*z*cos(20)/23 H; v- W: ?0 Z2 b* C; Q
xt=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' O
zt=01 x9 l r z U# W1 a
注：d:分度圆直径
3 s& ] L( Z# e: M { 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% W
t:系统变量从0~1之间
- @0 s5 f- x. K4 |/ O/ O z:齿数5 Z1 C* s1 w- U b( g; C" c
s:渐开线对应x,y值的角度& H& d) w7 x% S
xt yt zt:渐开线涵数表达式* i; i: R, M' P0 h
r:齿轮基圆半径(开启点坐标）
- S; c2 O) D2 e1 g. P 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=0
a=1
b=1.5
r=1
xt=a*r*sin(360*t)
yt=b*r*cos(360*t)
zt=0
3.螺旋线
t=0
a=1
b=1.5
c=2
d=10
r=1
xt=a*r*sin(d*360*t)
yt=b*r*cos(d*360*t)
zt=c*t
a，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=0
a=1（0<1）
r=5
b=10
xt=(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=0
a=1
b=1.5
c=2
d=10
e=45
r=10
xt=a*r*sin(d*360*t)*arctan（e）*t
yt=b*r*cos(d*360*t)*arctan（e）*t
a，b为圆的参数，c为螺距，d为螺纹圈数，e为角度
zt=c*t
6.;双外摆线
b=2.5
l=2.5
t=1
xt=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=5
t=1
xt=a*(cos(360*t))^3
yt=a*(sin(360*t))^3
8.叶形线
a=10
t=1
xt=3*a*t/(1 (t^3))
yt=3*a*(t^2)/(1 (t^3))
9.r;螺纹线
t=1
xt=4*cos(t*(5*360))
yt=4*sin(t*(5*360))
zt=6*t
10蛇形线
瞭=1
xt=2*cos(t*360*3)*t
yt=2*sin(t*360*3)*t
zt=(sqrt(sqrt(sqrt(t))))^3*5
瞭=1
r=t*3
theta=t*360*3
zt=sqrt(t)*7
瞭=1
rho=360*sqrt(t)*2
theta=t*25
phi=360*t*4
11r;双余弦线
t=1
xt=-(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)*5
12r;对数线
t=1
xt=10*t
yt=log(10*t 0.0001)
13抛物线
t=1
xt=(4*t)
yt=(3*t) (5*t^2)
14;勾形线
t=1
xt=(5*(cos(t*360))^3)*t
yt=(5*(sin(t*360))^3)*t
15;次声波
t=1
xt=t*5
yt=cos(t*360*8)*t
16正弦波
t=1
xt=5*t*t
yt=sin(t*8*360)*0.5
17渐开线
pitch_diameter=10
pressure_angle=20
r=(pitch_diameter/2)*cos(pressure_angle)
t=1
xt=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=10
t=1
xt=t*(2*pi*r)-sin(t*360)*r
yt=r-cos(t*360)*r
19;小飞机
t=1
xt=cos(t*360) cos(3*t*360)
yt=sin(t*360) sin(5*t*360)
20;弯月
t=1
xt=cos(t*360) cos(2*t*360)
yt=sin(t*360)*2 sin(t*360)*2
21r;五角形线
t=1
xt=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=1
xt=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=1
xt=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=1
xt=0.5 (10-6)*cos(360*5*t) 10*cos((6/10-1)*(360*5*t))
yt=0.5 (10-6)*sin(360*5*t)-10*sin((6/10-1)*(360*5*t))
22.热带鱼
a=5
t=1
xt=(a*(cos(t*360*3))^4)*t
yt=(a*(sin(t*360*3))^4)*t
23.双蝴蝶线
t=1
theta=t*360 90
r=cos(360*t*5)*3 0.5
zt=cos(360*t*3)*3
t=1
theta=t*360 18
r=cos(360*t*5)*0.75 3.5
zt=cos(t*360*5)*0.4
t=1
theta=t*360-54
r=cos(360*t*5)*0.5 2.5
zt=cos(t*360*5 90)*0.5
24心电图
t=1
r=sin(t*360*2) 0.2
theta=10 t*(6*360)
zt=t*3
25r;燕尾剪
t=1
xt=3*cos(t*360*4)
yt=3*sin(t*360*3)
zt=t
t=1
r=t*2
theta=10 t*(12*360)
zt=t*3
26碟形线
t=1
r=10 10*sin(6*t*360)
zt=2*sin(6*360*t)
27花篮
t=1
r=5
zt=(sin(3.5*(t*720)-90)) 2
28小兔兔
t=1
theta=t*360-90
r=cos(360*(t/(1 t^(6.5*t)))*6*t)*3.5 5
29红十字
t=1
r=cos(360*t*4)*0.5 1
theta=t*360 90
30心形线
t=1
r=10*(1 cos(t*360))
t=1
theta=t*360*4
r=1 cos(t*360*5)
t=1
theta=t*360*5
r=8 5*sin(t*360*5*5)*t
31太阳花
t=1
theta=-t*360 180
r=cos(360*t/(1 t^8)*7)*3 6
t=1
theta=t*360
r=cos(360*t*20)*0.5*t 1
t=1
theta=t*360*2
r=cos(360*t*30)*0.5*t 2*t
t=1
theta=t*360*5
r=cos(360*t*20)*0.5*t 1
32手掌
t=1
theta=t*360 180
r=cos(360*t^3*6)*2 5
t=1
theta=t*360*4
r=(cos(360*t*16)*0.5*t 1)*t
33.天蚕丝
t=1
theta=t*3600
r=(cos(360*t*20)*0.5*t 1)*t
34.人民币
t=1
theta=-t*360 180
r=cos(360*(t/(1 t^6))*6)*3 5
t=1
rho=360*t*10
theta=360*t*20
phi=360*t*5
35球面螺旋线
t=1
rho=4
theta=t*180
phi=t*360*12
36蝴蝶线
t=1
rho=8*t
theta=360*t*4
phi=360*t*8
t=1
rho=3*t
theta=360*t*5
phi=360*t*2.5
t=1
rho=8*t
theta=360*t*4
phi=360*t*4
