數學圖形(1.9)懸鏈線

懸鏈線 (Catenary) 是一種曲線，因其與兩端固定的繩子在均勻引力作用下下垂相似而得名。適當選擇坐標系后，懸鏈線的方程是一個雙曲余弦函數。

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懸鏈線1

vertices = 360
x = from -10 to 10
a = rand2(0.1, 10.0)
y = cosh(x/a) - 1

懸鏈線的另一種寫法

vertices = 360
x = from -10 to 10
a = rand2(0.1, 10.0)

y = a*cosh(x/a)

 

將懸鏈線中cosh換成sinh看看

vertices = 360
x = from -10 to 10
a = rand2(0.1, 10.0)

y = a*sinh(x/a)

懸鏈面1:

vertices = D1:360 D2:100
u = from -5 to 5 D1
v = from 1.5 to 10 D2

x = u
y = cosh(u/v)
t = cosh(5/v)
y = y - t

懸鏈面2:

vertices = D1:360 D2:100
u = from -10 to 10 D1
v = from 0.1 to 10 D2

x = u
y = cosh(x/v) - 1