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Author:

Zhang, W. (Zhang, W..) | Zhang, J. H. (Zhang, J. H..) | Yao, M. H. (Yao, M. H..)

Indexed by:

EI Scopus SCIE

Abstract:

The extended Melnikov method, which was used to solve autonomous perturbed Hamiltonian systems, is improved to deal with high-dimensional non-autonomous nonlinear dynamical systems. The multi-pulse Shilnikov type chaotic dynamics of a parametrically and externally excited, simply supported rectangular thin plate is studied by using the extended Melnikov method. A two-degree-of-freedom non-autonomous nonlinear system of the rectangular thin plate is derived by the von Karman type equation and the Galerkin approach. The case of buckling is considered for the rectangular thin plate. The extended Melnikov method is directly applied to the non-autonomous governing equations of motion to investigate multi-pulse Shilnikov type chaotic motions of the buckled rectangular thin plate for the first time. The results obtained here indicate that multi-pulse chaotic motions can occur in the parametrically and externally excited, simply supported buckled rectangular thin plate. (C) 2009 Elsevier Ltd. All rights reserved.

Keyword:

Multi-pulse chaotic dynamics Extended Melnikov method Buckled rectangular thin plate Non-autonomous nonlinear system

Author Community:

  • [ 1 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, J. H.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Yao, M. H.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

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Source :

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

ISSN: 1468-1218

Year: 2010

Issue: 3

Volume: 11

Page: 1442-1457

2 . 0 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 51

SCOPUS Cited Count: 53

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

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