Bifurcation and chaos of a 4-side fixed rectangular thin plate in electromagnetic and mechanical fields

被引：3

作者：

Zhu, Wei-guo ^{[1
,2
]}

Bai, Xiang-zhong ^{[1
]}

机构：

[1] Yanshan Univ, Sch Civil Engn & Mech, Qinhuangdao 066004, Peoples R China

[2] Huaiyin Inst Technol, Dept Transportat Engn, Huaian 223001, Peoples R China

来源：

JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A | 2009年 / 10卷 / 01期

关键词：

Rectangular thin plate; Electromagnetic-mechanical coupling; Melnikov function method; Runge-Kutta method; Bifurcation; Chaos; VIBRATIONS;

D O I：

10.1631/jzus.A0820132

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We studied the problem of bifurcation and chaos in a 4-side fixed rectangular thin plate in electromagnetic and mechanical fields. Based on the basic nonlinear electro-magneto-elastic motion equations for a rectangular thin plate and the expressions of electromagnetic forces, the vibration equations are derived for the mechanical loading in a steady transverse magnetic field. Using the Melnikov function method, the criteria are obtained for chaos motion to exist as demonstrated by the Smale horseshoe mapping. The vibration equations are solved numerically by a fourth-order Runge-Kutta method. Its bifurcation diagram, Lyapunov exponent diagram, displacement wave diagram, phase diagram and Poincare section diagram are obtained.

引用

页码：62 / 71

页数：10