SOLITARY WAVES IN FINITE DEFORMATION ELASTIC CIRCULAR ROD

被引：0
|
作者：
刘志芳
张善元
机构：
[1] P.R.China
[2] Taiyuan 030024
[3] Institute of Applied Mechanics Taiyuan University of Technology
来源：
Applied Mathematics and Mechanics(English Edition) | 2006年 / 10期
基金：
中国国家自然科学基金;
关键词：
nonlinear wave; finite deformation; transverse inertia; transverse shearing strain; hyperbolic secant function;
D O I：
暂无
中图分类号：
O347.4 [应力波];
学科分类号：
080102 ;
摘要：
A new nonlinear wave equation of a finite deformation elastic circular rod simultaneously introducing transverse inertia and shearing strain was derived by means of Hamilton principle. The nonlinear equation includes two nonlinear terms caused by finite deformation and double geometric dispersion effects caused by transverse inertia and transverse shearing strain. Nonlinear wave equation and corresponding truncated nonlinear wave equation were solved by the hyperbolic secant function finite expansion method. The solitary wave solutions of these nonlinear equations were obtained. The necessary condition of these solutions existence was given also.
引用
收藏
页码：1431 / 1437
页数：7
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