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

DOI10.1631/jzus.A0820132zbMath1422.74068MaRDI QIDQ1045572

Wei-Guo Zhu, Xiang-Zhong Bai

Publication date: 15 December 2009

Published in: Journal of Zhejiang University. Science A (Search for Journal in Brave)

zbMATH Keywords

chaosbifurcationRunge-Kutta methodMelnikov function methodrectangular thin plateelectromagnetic-mechanical coupling

Mathematics Subject Classification ID

Plates (74K20) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Electromagnetic effects in solid mechanics (74F15) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Cites Work

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• A coupled problem of thermoelastic vibrations of a circular plate with exact boundary conditions
• Nonlinear vibration and characteristics of flexible plate-strips with non-symmetric boundary conditions
• Exact Solution for Simply Supported and Multilayered Magneto-Electro-Elastic Plates
• Global dynamics of a parametrically and externally excited thin plate

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