数学图形(1.9)悬链线

悬链线 (Catenary) 是一种曲线，因其与两端固定的绳子在均匀引力作用下下垂相似而得名。适当选择坐标系后，悬链线的方程是一个双曲余弦函数。

相关软件参见:数学图形可视化工具,使用自己定义语法的脚本代码生成数学图形.该软件免费开源.QQ交流群: 367752815

悬链线1

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

悬链线的另一种写法

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

y = a*cosh(x/a)

将悬链线中cosh换成sinh看看

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

y = a*sinh(x/a)

悬链面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

悬链面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