工程常见曲线的表达式

名称具体表达式曲线图形双外摆线 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)

普通外摆线r=10

t=1

xt=t*(2*pi*r)-sin(t*360)*r

yt=r-cos(t*360)*r

星形线a=5

t=1

xt=a*(cos(360*t))^3

yt=a*(sin(t*360))^3

螺旋线t=1

xt=4*cos(t*(5*360))

yt=4*sin(t*(5*360))

zt=6*t

渐开线t=1

m=3

zm=62

a=20

d=zm*m

al=45*t

db=m*zm*cos(a)

da=(zm+2)*m

df=(zm-2.5)*m

r=pi()*m/8

B=9

xt=0.5*db*cos(al)+

(al*pi()/360)*db*sin(al)

yt=0.5*db*sin(al)-

(al*pi()/360)*db*cos(al)

zt=0

心形线t=1

r=10*(1+cos(t*360))