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Author:

Zhang, Wei (Zhang, Wei.) | Guo, Xiang-Ying (Guo, Xiang-Ying.) | Lai, Siu-Kai (Lai, Siu-Kai.)

Indexed by:

Scopus SCIE

Abstract:

This paper presents an analysis on the nonlinear vibrations of a simply supported composite laminated rectangular thin plate with parametric and forcing excitations. In accordance with the Reddy's high-order shear deformation theory and the model of von Karman type geometric nonlinearity, the nonlinear governing partial differential equations of motion can be derived by the using the Hamiltonian principle. The Galerkin discretization approach and the method of multiple scales are then incorporated to formulate the four-dimensional averaged equation. The case of 1:1 internal resonance as well as fundamental parametric resonance for the simply supported composite laminated rectangular thin plate is studied by numerical simulation. The results of numerical simulation demonstrate that periodic and chaotic motions exist in the composite laminated rectangular thin plate under certain excitation conditions.

Keyword:

higher-order shear deformation Composite laminated plates multiple scale method periodic motion chaotic motion

Author Community:

  • [ 1 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Guo, Xiang-Ying]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Lai, Siu-Kai]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 :

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

ISSN: 1565-1339

Year: 2009

Issue: 11-12

Volume: 10

Page: 1567-1583

1 . 5 0 0

JCR@2022

ESI Discipline: ENGINEERING;

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 11

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 10

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