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作者:

Zhang, Jun-Hua (Zhang, Jun-Hua.) | Zhang, Wei (Zhang, Wei.) (学者:张伟) | Yao, Ming-Hui (Yao, Ming-Hui.) (学者:姚明辉) | Guo, Xiang-Ying (Guo, Xiang-Ying.)

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Scopus SCIE

摘要:

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.

关键词:

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

作者机构:

  • [ 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

通讯作者信息:

  • 张伟

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

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来源 :

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

ISSN: 1565-1339

年份: 2008

期: 4

卷: 9

页码: 381-394

1 . 5 0 0

JCR@2022

ESI学科: ENGINEERING;

JCR分区:1

被引次数:

WoS核心集被引频次: 26

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