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Author:

Zhang, Jun-Hua (Zhang, Jun-Hua.) | Zhang, Wei (Zhang, Wei.) | Yao, Ming-Hui (Yao, Ming-Hui.) | Guo, Xiang-Ying (Guo, Xiang-Ying.)

Indexed by:

Scopus SCIE

Abstract:

The Shilnikov type multi-pulse chaotic dynamics of a parametrically excited simply supported rectangular thin plate is studied in this paper. The formulas of the rectangular thin plate are derived by using the von Karman type equation and the Galerkin's approach. The global perturbation analysis is directly applied to the non-autonomous governing equations of motion for the rectangular thin plate by using the extended Melnikov method, which was used to deal with autonomous perturbed Hamiltonian system. The case of buckling is considered for the rectangular thin plate. The extended Melnikov method is improved to analyze the non-autonomous nonlinear dynamical system. Numerical simulation is employed to find the Shilnikov type multi-pulse chaotic motions of the rectangular buckled thin plate. The results obtained here indicate that the multi-pulse chaotic motions can occur in the parametrically excited simply supported rectangular buckled thin plate.

Keyword:

Multi-pulse chaotic dynamics buckled rectangular thin plate non-autonomous nonlinear system the extended Melnikov method

Author Community:

  • [ 1 ] [Zhang, Jun-Hua]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, Ming-Hui]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 4 ] [Guo, Xiang-Ying]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: 2008

Issue: 4

Volume: 9

Page: 381-394

1 . 5 0 0

JCR@2022

ESI Discipline: ENGINEERING;

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 26

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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