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作者:

Hao, W. L. (Hao, W. L..) | Zhang, W. (Zhang, W..) (学者:张伟) | Yao, M. H. (Yao, M. H..) (学者:姚明辉)

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摘要:

This paper studies the global bifurcations and multipulse chaotic dynamics of a four-edge simply supported honeycomb sandwich rectangular plate under combined in-plane and transverse excitations. Based on the von Karman type equation for the geometric nonlinearity and Reddy's third-order shear deformation theory, the governing equations of motion are derived for the four-edge simply supported honeycomb sandwich rectangular plate. The Galerkin method is employed to discretize the partial differential equations of motion to a three-degree-of-freedom nonlinear system. The six-dimensional nonautonomous nonlinear system is simplified to a three-order standard form by using the normal form method. The extended Melnikov method is improved to investigate the six-dimensional nonautonomous nonlinear dynamical system in a mixed coordinate. The global bifurcations and multipulse chaotic dynamics of the four-edge simply supported honeycomb sandwich rectangular plate are studied by using the improved extended Melnikov method. The multipulse chaotic motions of the system are found by using numerical simulation, which further verifies the result of theoretical analysis.

关键词:

extended Melnikov method multipulse chaos Six-dimensional nonautonomous nonlinear system the honeycomb sandwich rectangular plate

作者机构:

  • [ 1 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Yao, M. H.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Hao, W. L.]Yunnan Normal Univ, Dept Math, Kunming 650500, Peoples R China

通讯作者信息:

  • 张伟

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

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来源 :

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

ISSN: 0218-1274

年份: 2014

期: 11

卷: 24

2 . 2 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:56

JCR分区:2

中科院分区:3

被引次数:

WoS核心集被引频次: 13

SCOPUS被引频次: 14

ESI高被引论文在榜: 0 展开所有

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