UG常用曲线方程式

UG常用曲线方程式:

¯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

²t=1

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

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

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

²t=1

theta=t*360*3

zt=sqrt(t)*7

²t=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

碟形线

t=1

r=10+10*sin(6*t*360)

zt=2*sin(6*360*t)

花篮

t=1

r=5

zt=(sin(3.5*(t*720)-90))+2

小兔兔

t=1

theta=t*360-90

r=cos(360*(t/(1+t^(6.5*t)))*6*t)*3.5+5

红十字

t=1

r=cos(360*t*4)*0.5+1

theta=t*360+90

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

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

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

天蚕丝

t=1

theta=t*3600

r=(cos(360*t*20)*0.5*t+1)*t

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

球面螺旋线

t=1

rho=4

theta=t*180

phi=t*360*12

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