非常实用的UG曲线表达式

✧表示有N种方法 表示用UG3.0可以实现

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)

星形线

a=5

t=1

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

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

叶形线

a=10

t=1

xt=3*a*t/(1+(t^3))

yt=3*a*(t^2)/(1+(t^3))

螺纹线

t=1

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

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

zt=6*t

蛇形线

✧t=1

xt=2*cos(t*360*3)*t

yt=2*sin(t*360*3)*t

zt=(sqrt(sqrt(sqrt(t))))^3*5

✧t=1

r=t*3

theta=t*360*3

zt=sqrt(t)*7

✧t=1

rho=360*sqrt(t)*2

theta=t*25

phi=360*t*4

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

对数线

t=1

xt=10*t

yt=log(10*t+0.0001)

抛物线

t=1

xt=(4*t)

yt=(3*t)+(5*t^2)

勾形线

t=1

xt=(5*(cos(t*360))^3)*t

yt=(5*(sin(t*360))^3)*t

次声波

t=1

xt=t*5

yt=cos(t*360*8)*t

正弦波

t=1

xt=5*t*t

yt=sin(t*8*360)*0.5

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)

普通外摆线

r=10

t=1

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

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

小飞机

t=1

xt=cos(t*360)+cos(3*t*360)

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

弯月

t=1

xt=cos(t*360)+cos(2*t*360)

yt=sin(t*360)*2+sin(t*360)*2

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))

热带鱼

a=5

t=1

xt=(a*(cos(t*360*3))^4)*t

yt=(a*(sin(t*360*3))^4)*t

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

心电图

t=1

r=sin(t*360*2)+0.2 theta=10+t*(6*360)

zt=t*3

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