倪举鹏 发表于 2022-1-21 09:41:10

求曲线方程

柔性绳子长度1，一端固定，一端拉水平，放手，在重力下，求时间t时候，绳子的曲线方程。

倪举鹏 发表于 2022-1-21 10:05:42

最后是周期摆动还是混沌

TSC999 发表于 2022-1-21 12:37:36

美国有个力学分析软件，能模拟绳子的运动情况。如果不是软绳而是一根细棍，那是容易人工计算的。

markfang2050 发表于 2022-1-21 15:02:36

这个问题很复杂。涉及复杂的运动方程。有论文发表了的。

markfang2050 发表于 2022-1-21 15:10:08

kolodner1955，mack1958，coomer2001，Guven_2013_New_J._Phys._15_113055

markfang2050 发表于 2022-1-21 15:13:55

REFERENCES
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vibrations of a nonlinear continuous model string.
4. S. ANTMAN 1991 Non-linear Problems in Elasticity. Berlin: Springer, Applied Mathematical
Sciences 107.
5. D. A. LEVINSON 1977 American Journal of Physics 45, 680}681. Natural frequencies of a hanging
chain.
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646}648. Vibrations of a hanging chain of discrete links.
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0
(x) on
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Vibrations of ballooning Elastic Strings.
11. I. KOLODNER 1955 Communications in Pure and AppliedMathematics 8, 395}408. Heavy rotating
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12. J. M. ORTEGA and W. G. POOL, JR 1981 An Introduction to Numerical Methods for Di+erential
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13. H. B. KELLER 1970. Numerical Methods for ¹wo-Point Boundary Problems. New York: Blaisdell.
14. D. MEADE 1998. A Maple implementation of the simple shooting method. Department of
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15. T. J. HEALEY, 1990 Quarternary Journal of Applied Mathematics 48, 679}698. Stability and
bifurcation of rotating non-linearly elastic loops.

倪举鹏 发表于 2022-1-26 10:04:53

为什么我发的帖子问题都如此难:lol
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