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.

引用

页码：1645 / 1656

页数：11

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