Application of the averaging method to the investigation of nonlinear wave processes in elastic systems with circular symmetry

被引：0
|
作者：
Kubenko V.D. [1 ]
Koval’chuk P.S. [1 ]
机构：
[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev
来源：
Ukrainian Mathematical Journal | 2001年 / 53卷 / 10期
关键词：
Approximate Solution; Nonlinear Equation; Cylindrical Shell; Average Method; Asymptotic Method;
D O I：
10.1023/A:1015291826531
中图分类号：
学科分类号：
摘要：
We apply asymptotic methods of nonlinear mechanics (the Bogolyubov-Mitropol'skii averaging method) to the construction of approximate solutions of a system of nonlinear equations describing wave processes in elastic systems with circular symmetry. As an example, we study the dynamics of interaction of two flexural waves that propagate in a cylindrical shell under the conditions of free oscillations and periodic excitation. © 2001 Plenum Publishing Corporation.
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页码：1645 / 1656
页数：11
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