The Constant Stress Hanging String with Bottom Load - An Exact Solution

被引：0
|
作者：
Wang, C. Y. [1 ,2 ]
机构：
[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
[2] Michigan State Univ, Dept Mech Engn, E Lansing, MI 48824 USA
来源：
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS | 2021年 / 21卷 / 13期
关键词：
Hanging string; fully-; stressed; variable area; vibration; OPTIMAL ARCH;
D O I：
10.1142/S021945542171005X
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
The unique solution for the fully stressed hanging string with a bottom load is found. For a given length of string, the problem depends on two parameters, representing the ratio of string density to maximum stress, and the ratio of bottom mass to maximum stress. The cross-sectional area of the string decays exponentially downward. Vibration frequencies are found from the exact characteristic equation. Results from analytic perturbation formulas compare well with those of numerical solution.
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