Solitary Waves and Chaotic Behavior in Large-Deflection Beam

周义清; 张善元

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Solitary Waves and Chaotic Behavior in Large-Deflection Beam

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- Solitary Waves and Chaotic Behavior in Large-Deflection Beam
- 大挠度梁中的非线性波及其混沌行为
- Vol. 33, Issue 6, Pages: 643-648(2012)
- 作者机构：
  
  1. 中北大学理学院
  2. 太原理工大学应用力学与生物医学工程研究所
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2012
- 稿件说明：
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周义清, 张善元. Solitary Waves and Chaotic Behavior in Large-Deflection Beam[J]. 2012, 33(6): 643-648.
DOI：

周义清, 张善元. Solitary Waves and Chaotic Behavior in Large-Deflection Beam[J]. 2012, 33(6): 643-648. DOI：

摘要

以大挠度梁为研究对象

利用Hamilton变分原理导出了其支配方程

采用"孤波直接识别法"求解得到了系统的孤立波解

并将解的结果与Jacobi椭圆函数精确解进行了对比.结果表明:"孤波直接识别法"求解过程简单

且所得结果精度较高.讨论了系统在阻尼和强迫力作用下的混沌行为

数值模拟结果验证了混沌现象的存在.

Abstract

The motion equation of nonlinear flexural wave in large-deflection beam was derived from Hamilton′s variational principle.The solution of large-deflection beam was given by using direct approach.The comparision of the results between direct approach and Jacobi elliptic function expansion was carried out.It shows that the direct approach is simple with high precision. Chaos property was studied under the effect of damping and external load.The numerical simulations verify the existence of chaos.

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references

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