USING THE EXTENDED MELNIKOV METHOD TO STUDY THE MULTI-PULSE GLOBAL BIFURCATIONS AND CHAOS OF A COMPO

来源 :The Third International Conference on Dynamics,Vibration and | 被引量 : 0次 | 上传用户：jaczolo

【摘要】

：

【作者】

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W.L.Hao W.Zhang

【机构】

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College of Mechanical Engineering,Beijing University of Technology,Beijing 100124,China

【出处】

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The Third International Conference on Dynamics,Vibration and

【发表日期】

：

2010年4期

【关键词】

：

Nonlinear dynamical system extended Melnikov method multi-pulse chaotic dynamics

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　　The global bifurcations and multi-pulse chaotic dynamics of a simply supported composite laminated cantilever plate under combined in-plane and transversal excitations are investigated in this paper for the first time.Based on the Reddys high-order shear deformation theory and the model of von Karman type equations for the geometric nonlinearity, the formulas of motion for composite laminated cantilever plate subjected to the in-plane and transverse excitations are derived by using the Hamiltons principle and Galerkins approach.The extended Melnikov method is improved to enable us to analyze directly the non-autonomous nonlinear dynamical system.

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USING THE EXTENDED MELNIKOV METHOD TO STUDY THE MULTI-PULSE GLOBAL BIFURCATIONS AND CHAOS OF A COMPO

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