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[原创] 求曲线方程

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发表于 2022-1-21 09:41:10 | 显示全部楼层 |阅读模式

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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。
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2022-1-21 10:05:42 | 显示全部楼层
最后是周期摆动还是混沌
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2022-1-21 12:37:36 | 显示全部楼层
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。
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2022-1-21 15:02:36 | 显示全部楼层
这个问题很复杂。涉及复杂的运动方程。有论文发表了的。
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2022-1-21 15:10:08 | 显示全部楼层
kolodner1955,mack1958,coomer2001,Guven_2013_New_J._Phys._15_113055
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2022-1-21 15:13:55 | 显示全部楼层
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.
7. A. B.WESTERN 1980 American Journal of Physics 48, 54}56. Demonstration for observing J
0
(x) on
a resonant rotating vertical chain.
8. R. W. TUCKER and C. WANG 1999 Journal of Sound and <ibration 224, 123}165. An integrated
model for drill-string dynamics.
9. W. B. FRASER 1993 Philosophical ¹ransactions of Royal Society of ¸ondon A 342, 439}468. On the
theory of ring spinning.
10. F. ZHU, R. SHARMA and C. D. RAHN 1997 ASME Journal of Applied Mechanics 64, 676}683.
Vibrations of ballooning Elastic Strings.
11. I. KOLODNER 1955 Communications in Pure and AppliedMathematics 8, 395}408. Heavy rotating
string*a non-linear eigenvalue problem.
12. J. M. ORTEGA and W. G. POOL, JR 1981 An Introduction to Numerical Methods for Di+erential
Equations. London: Pitman.
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
Mathematics, ;niversity of South Carolina, Columbia, SC 29208, ;.S.A.
15. T. J. HEALEY, 1990 Quarternary Journal of Applied Mathematics 48, 679}698. Stability and
bifurcation of rotating non-linearly elastic loops.
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2022-1-26 10:04:53 | 显示全部楼层
为什么我发的帖子问题都如此难

点评

因为水平高  发表于 2022-2-4 22:50
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
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