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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2009, Vol. 10 Issue (1): 62-71    DOI: 10.1631/jzus.A0820132
Mechanical & Civil Engineering     
Bifurcation and chaos of a 4-side fixed rectangular thin plate in electromagnetic and mechanical fields
Wei-guo ZHU, Xiang-zhong BAI
School of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao 066004, China; Department of Transportation Engineering, Huaiyin Institute of Technology, Huai’an 223001, China
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Abstract  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.

Key words： Rectangular thin plate      Electromagnetic-mechanical coupling      Melnikov function method      Runge-Kutta method      Bifurcation      Chaos     
Received: 23 February 2008     
CLC:  O34  
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Wei-guo ZHU
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Wei-guo ZHU, Xiang-zhong BAI. Bifurcation and chaos of a 4-side fixed rectangular thin plate in electromagnetic and mechanical fields. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2009, 10(1): 62-71.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.A0820132     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2009/V10/I1/62

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