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CLC number: O34

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Received: 2008-02-23

Revision Accepted: 2008-07-02

Crosschecked: 2008-10-29

Cited: 2

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Journal of Zhejiang University SCIENCE A 2009 Vol.10 No.1 P.62~71

10.1631/jzus.A0820132


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


Author(s):  Wei-guo ZHU, Xiang-zhong BAI

Affiliation(s):  School of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao 066004, China; more

Corresponding email(s):   bobweiguo@sina.com

Key Words:  Rectangular thin plate, Electromagnetic-mechanical coupling, Melnikov function method, Runge-Kutta method, Bifurcation, Chaos


Wei-guo ZHU, Xiang-zhong BAI. Bifurcation and chaos of a 4-side fixed rectangular thin plate in electromagnetic and mechanical fields[J]. Journal of Zhejiang University Science A, 2009, 10(1): 62~71.

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author="Wei-guo ZHU, Xiang-zhong BAI",
journal="Journal of Zhejiang University Science A",
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pages="62~71",
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doi="10.1631/jzus.A0820132"
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%DOI 10.1631/jzus.A0820132

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T1 - Bifurcation and chaos of a 4-side fixed rectangular thin plate in electromagnetic and mechanical fields
A1 - Wei-guo ZHU
A1 - Xiang-zhong BAI
J0 - Journal of Zhejiang University Science A
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SP - 62
EP - 71
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0820132


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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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