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Author:

Guo, Xiangying (Guo, Xiangying.) | Zhang, Wei (Zhang, Wei.) | Yao, Ming-Hui (Yao, Ming-Hui.)

Indexed by:

EI Scopus

Abstract:

This paper presents an analysis on the nonlinear dynamics and multi-pulse chaotic motions of a simply-supported symmetric cross-ply composite laminated rectangular thin plate with the parametric and forcing excitations. Firstly, based on the Reddy's three-order shear deformation plate theory and the model of the von Karman type geometric nonlinearity, the nonlinear governing partial differential equations of motion for the composite laminated rectangular thin plate are derived by using the Hamilton's principle. Then, using the second-order Galerkin discretization approach, the partial differential governing equations of motion are transformed to nonlinear ordinary differential equations. The case of the primary parametric resonance and 1:1 internal resonance is considered. Four-dimensional averaged equation is obtained by using the method of multiple scales. From the averaged equation obtained here, the theory of normal form is used to give the explicit expressions of normal form. Based on normal form, the energy phase method is utilized to analyze the global bifurcations and multi-pulse chaotic dynamics of the composite laminated rectangular thin plate. The results obtained above illustrate the existence of the chaos for the Smale horseshoe sense in a parametrical and forcing excited composite laminated thin plate. The chaotic motions of the composite laminated rectangular thin plate are also found by using numerical simulation. The results of numerical simulation also indicate that there exist different shapes of the multi-pulse chaotic motions for the composite laminated rectangular thin plate. Copyright © 2008 by ASME.

Keyword:

Control nonlinearities Chaos theory Laminated composites Ordinary differential equations Nonlinear equations Laminating Equations of motion Chaotic systems Numerical models

Author Community:

  • [ 1 ] [Guo, Xiangying]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 2 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 3 ] [Yao, Ming-Hui]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China

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Source :

Year: 2009

Volume: 11

Page: 841-851

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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