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

作     者：Wei-guo ZHU Xiang-zhong BAI 

作者机构：School of Civil Engineering and Mechanics Yanshan University Qinhuangdao 066004 China Department of Transportation Engineering Huaiyin Institute of Technology Huai 'an 223001 China 

出 版 物：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 (浙江大学学报（英文版）A辑（应用物理与工程）)

年 卷 期：2009年第10卷第1期

页      面：62-71页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project(No. A2006000190)supported by the Natural Science Foundation of Hebei Province China 

主　　题：Rectangular thin plate Electromagnetic-mechanical coupling Melnikov function method Runge-Kutta method Bifurcation Chaos 

摘      要：We studied the problem of bifurcation and chaos in a 4-side fixed rectangular thin plate in electromagnetic and me-chanical *** on the basic nonlinear electro-magneto-elastic motion equations for a rectangular thin plate and the ex-pressions of electromagnetic forces,the vibration equations are derived for the mechanical loading in a steady transverse magnetic *** the Melnikov function method,the criteria are obtained for chaos motion to exist as demonstrated by the Smale horseshoe *** vibration equations are solved numerically by a fourth-order Runge-Kutta *** bifurcation dia-gram,Lyapunov exponent diagram,displacement wave diagram,phase diagram and Poincare section diagram are obtained.