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Author:

Guo Xiang Ying (Guo Xiang Ying.) | Zhang Wei (Zhang Wei.) | Yao MingHui (Yao MingHui.)

Indexed by:

EI Scopus SCIE

Abstract:

An asymptotic perturbation method is presented based on the Fourier expansion and temporal rescaling to investigate the nonlinear oscillations and chaotic dynamics of a simply supported angle-ply composite laminated rectangular thin plate with parametric and external excitations. According to the Reddy's third-order plate theory, the governing equations of motion for the angle-ply composite laminated rectangular thin plate are derived by using the Hamilton's principle. Then, the Galerkin procedure is applied to the partial differential governing equation to obtain a two-degrees-of-freedom nonlinear system including the quadratic and cubic nonlinear terms. Such equations are utilized to deal with the resonant case of 1:1 internal resonance and primary parametric resonance-1/2 subharmonic resonance. Furthermore, the stability analysis is given for the steady-state solutions of the averaged equation. Based on the averaged equation obtained by the asymptotic perturbation method, the phase portrait and power spectrum are used to analyze the multi-pulse chaotic motions of the angle-ply composite laminated rectangular thin plate. Under certain conditions the various chaotic motions of the angle-ply composite laminated rectangular thin plate are found.

Keyword:

angle-ply composite laminated plate third-order shear deformation theory chaotic motion parametric excitation

Author Community:

  • [ 1 ] [Guo Xiang Ying]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Yao MingHui]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 张伟

    [Zhang Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

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Source :

SCIENCE CHINA-TECHNOLOGICAL SCIENCES

ISSN: 1674-7321

Year: 2010

Issue: 3

Volume: 53

Page: 612-622

4 . 6 0 0

JCR@2022

ESI Discipline: ENGINEERING;

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 25

SCOPUS Cited Count: 32

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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