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作者:

Zhang JunHua (Zhang JunHua.) | Zhang Wei (Zhang Wei.) (学者:张伟)

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EI Scopus SCIE

摘要:

By using an extended Melnikov method on multi-degree-of-freedom Hamiltonian systems with perturbations, the global bifurcations and chaotic dynamics are investigated for a parametrically excited, simply supported rectangular buckled thin plate. The formulas of the rectangular buckled thin plate are derived by using the von Karman type equation. The two cases of the buckling for the rectangular thin plate are considered. With the aid of Galerkin's approach, a two-degree-of-freedom non-autonomous nonlinear system is obtained for the non-autonomous rectangular buckled thin plate. The high-dimensional Melnikov method developed by Yagasaki is directly employed to the non-autonomous ordinary differential equation of motion to analyze the global bifurcations and chaotic dynamics of the rectangular buckled thin plate. Numerical method is used to find the chaotic responses of the non-autonomous rectangular buckled thin plate. The results obtained here indicate that the chaotic motions can occur in the parametrically excited, simply supported rectangular buckled thin plate.

关键词:

chaotic motions extended high-dimensional Melnikov method non-autonomous nonlinear system rectangular buckled thin plate

作者机构:

  • [ 1 ] [Zhang JunHua]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

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 :

SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY

ISSN: 1674-7348

年份: 2012

期: 9

卷: 55

页码: 1679-1690

6 . 4 0 0

JCR@2022

ESI学科: PHYSICS;

ESI高被引阀值:178

JCR分区:3

中科院分区:4

被引次数:

WoS核心集被引频次: 9

SCOPUS被引频次: 9

ESI高被引论文在榜: 0 展开所有

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