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Author:

Guo, Xiang-Ying (Guo, Xiang-Ying.) | Zhang, Wei (Zhang, Wei.)

Indexed by:

EI Scopus PKU CSCD

Abstract:

The nonlinear oscillations and chaotic motion of a simply supported angle-ply composite laminated rectangular thin plate with parametric and external excitations were investigated, an asymptotic perturbation method was presented based on Fourier expansion and temporal rescaling to solve the ordinary differential equation of the system. According to Reddy's third-order plate theory, the governing equations of motion for the angle-ply composite laminated rectangular thin plate were derived by using Hamilton's principle. Then, Galerkin procedure was applied to the partial differential governing equation to obtain a 2-DOF nonlinear system including quadratic and cubic nonlinear terms. Such equations were utilized to deal with the resonant case of 1: 1 internal resonance and primary parametric resonance-1/2 subharmonic resonance. Based on the averaged equation obtained with the asymptotic perturbation method, the phase portrait and power spectrum were used to analyze the multi-pulse chaotic motions of the angle-ply composite laminated rectangular thin plate. Under certain conditions, the different periodic and various chaotic motions were found in the angle-ply composite laminated rectangular thin plate.

Keyword:

Resonance Laminated composites Equations of motion Ordinary differential equations Perturbation techniques Couplings Laminating Nonlinear equations Oscillators (mechanical) Dynamics

Author Community:

  • [ 1 ] [Guo, Xiang-Ying]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

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Source :

Journal of Vibration and Shock

ISSN: 1000-3835

Year: 2012

Issue: 19

Volume: 31

Page: 174-179

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: 11

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