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Author:

Zhang, W. (Zhang, W..) | Guo, X.Y. (Guo, X.Y..)

Indexed by:

EI Scopus

Abstract:

An analysis on the nonlinear oscillations and chaotic dynamics is presented for a simply-supported symmetric cross-ply composite laminated rectangular thin plate with parametric and forcing excitations. Based on the Reddy's third-order shear deformation plate theory and the von Karman type equation, the nonlinear governing partial differential equations of motion for the composite laminated rectangular thin plate are derived by using the Hamilton's principle. The Galerkin method is utilized to discretize the governing partial differential equations of motion to a three-degree-of-freedom nonlinear system including the cubic nonlinear terms. The case of 1:3:3 internal resonance and fundamental parametric resonance, 1/3 subharmonic resonance is considered. The method of multiple scales is employed to obtain the averaged equation. The stability analysis is given for the steady-state solutions of the averaged equation. The Numerical method is used to investigate the periodic and chaotic motions of the composite laminated rectangular thin plate. The results of numerical simulation demonstrate that there exist different kinds of periodic and chaotic motions of the composite laminated rectangular thin plate under certain conditions. Copyright © 2009 by ASME.

Keyword:

Equations of motion Resonance Nonlinear equations Partial differential equations Galerkin methods Degrees of freedom (mechanics) Design Shear deformation Laminating Numerical methods Laminated composites

Author Community:

  • [ 1 ] [Zhang, W.]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 2 ] [Guo, X.Y.]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China

Reprint Author's Address:

  • 张伟

    [zhang, w.]college of mechanical engineering, beijing university of technology, beijing 100124, china

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Source :

Year: 2010

Issue: PART C

Volume: 4

Page: 1359-1369

Language: English

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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