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Author:

Yao, Minghui (Yao, Minghui.) | Zhang, Wei (Zhang, Wei.) (Scholars:张伟)

Indexed by:

Scopus SCIE

Abstract:

This paper investigates the multipulse global bifurcations and chaotic dynamics for the nonlinear oscillations of the laminated composite piezoelectric rectangular plate by using an energy phase 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. The energy phase method is used for the first time to investigate the Shilnikov type multipulse heteroclinic bifurcations and chaotic dynamics of the laminated composite piezoelectric rectangular plate. The paper demonstrates how to employ the energy phase method to analyze the Shilnikov type multipulse heteroclinic bifurcations and chaotic dynamics of high-dimensional nonlinear systems in engineering applications. Numerical simulations show that for the nonlinear oscillations of the laminated composite piezoelectric rectangular plate, the Shilnikov type multipulse chaotic motions can occur. Overall, both theoretical and numerical studies suggest that chaos for the Smale horseshoe sense in motion exists.

Keyword:

Author Community:

  • [ 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

Reprint Author's Address:

  • 姚明辉

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

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Source :

DISCRETE DYNAMICS IN NATURE AND SOCIETY

ISSN: 1026-0226

Year: 2013

Volume: 2013

1 . 4 0 0

JCR@2022

ESI Discipline: Multidisciplinary;

JCR Journal Grade:2

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 4

SCOPUS Cited Count: 5

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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