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Author:

Zhang, W. (Zhang, W..) | Hao, W. L. (Hao, W. L..)

Indexed by:

EI Scopus SCIE

Abstract:

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

Keyword:

Extended Melnikov method Composite laminated piezoelectric plate Six-dimensional non-autonomous nonlinear system Multi-pulse chaos

Author Community:

  • [ 1 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Hao, W. L.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 张伟

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

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Source :

NONLINEAR DYNAMICS

ISSN: 0924-090X

Year: 2013

Issue: 1-2

Volume: 73

Page: 1005-1033

5 . 6 0 0

JCR@2022

ESI Discipline: ENGINEERING;

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 24

SCOPUS Cited Count: 25

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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