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作者:

Yao, Minghui (Yao, Minghui.) (学者:姚明辉) | Zhang, Wei (Zhang, Wei.) (学者:张伟) | Wang, D. M. (Wang, D. M..)

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摘要:

This paper investigates the multipulse heteroclinic bifurcations and chaotic dynamics of a laminated composite piezoelectric rectangular plate by using an extended Melnikov method in the resonant case. According to the von Karman type equations, Reddy's third-order shear deformation plate theory, and Hamilton's principle, the equations of motion are derived for the laminated composite piezoelectric rectangular plate with combined parametric excitations and transverse excitation. The method of multiple scales and Galerkin's approach are applied to the partial differential governing equation. Then, the four-dimensional averaged equation is obtained for the case of 1:3 internal resonance and primary parametric resonance. The extended Melnikov method is used to study the Shilnikov type multipulse heteroclinic bifurcations and chaotic dynamics of the laminated composite piezoelectric rectangular plate. The necessary conditions of the existence for the Shilnikov type multipulse chaotic dynamics are analytically obtained. From the investigation, the geometric structure of the multipulse orbits is described in the four-dimensional phase space. Numerical simulations show that the Shilnikov type multipulse chaotic motions can occur. To sum up, both theoretical and numerical studies suggest that chaos for the Smale horseshoe sense in motion exists for the laminated composite piezoelectric rectangular plate.

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作者机构:

  • [ 1 ] [Yao, Minghui]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 ] [Wang, D. M.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

通讯作者信息:

  • 姚明辉

    [Yao, Minghui]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

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来源 :

MATHEMATICAL PROBLEMS IN ENGINEERING

ISSN: 1024-123X

年份: 2014

卷: 2014

ESI学科: ENGINEERING;

ESI高被引阀值:123

JCR分区:3

中科院分区:3

被引次数:

WoS核心集被引频次: 4

SCOPUS被引频次: 6

ESI高被引论文在榜: 0 展开所有

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