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作者:

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

收录:

EI Scopus SCIE

摘要:

This paper investigates the multi-pulse global bifurcations and chaotic dynamics of the high-dimension nonlinear system for a laminated composite piezoelectric rectangular plate by using an extended Melnikov method in the resonant case. Using 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. Applying the method of multiple scales and Galerkin's approach to the partial differential governing equation, the four-dimensional averaged equation is obtained for the case of 1:2 internal resonance and primary parametric resonance. From the averaged equations obtained, the theory of normal form is used to derive the explicit expressions of normal form with a double zero and a pair of pure imaginary eigenvalues. Based on the explicit expressions of normal form, the extended Melnikov method is used for the first time to investigate the Shilnikov type multi-pulse homoclinic bifurcations and chaotic dynamics of the laminated composite piezoelectric rectangular plate. The necessary conditions of the existence for the Shilnikov type multi-pulse chaotic dynamics of the laminated composite piezoelectric rectangular plate are analytically obtained. Numerical simulations also illustrate that the Shilnikov type multi-pulse chaotic motions can also occur in the laminated composite piezoelectric rectangular plate. Overall, both theoretical and numerical studies demonstrate that the chaos in the Smale horseshoe sense exists for the laminated composite piezoelectric rectangular plate.

关键词:

Chaotic dynamics Extended Melnikov method High-dimension nonlinear system Laminated composite piezoelectric rectangular plate Multi-pulse homoclinic orbits

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

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 :

MECCANICA

ISSN: 0025-6455

年份: 2014

期: 2

卷: 49

页码: 365-392

2 . 7 0 0

JCR@2022

ESI学科: ENGINEERING;

ESI高被引阀值:123

JCR分区:1

中科院分区:2

被引次数:

WoS核心集被引频次: 21

SCOPUS被引频次: 22

ESI高被引论文在榜: 0 展开所有

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