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Author:

Yao, Zhi-Gang (Yao, Zhi-Gang.) | Zhang, Wei (Zhang, Wei.)

Indexed by:

EI Scopus

Abstract:

The bifurcations and chaotic motions of a simply supported symmetric cross-ply composite laminated piezoelectric rectangular plate are analyzed for the first time, which are forced by the transverse and in-plane excitations. It is assumed that different layers of symmetric cross-ply composite laminated piezoelectric rectangular plate are perfectly bonded to each other and with piezoelectric actuator layers embedded in the plate. Based on the Reddy's third-order shear deformation plate theory, the nonlinear governing equations of motion for the composite laminated piezoelectric rectangular plate are derived by using the Hamilton's principle. The excitation loaded by piezoelectric layers is considered. The Galerkin's approach is employed to discretize partial differential governing equations to a two-degree-of-freedom nonlinear system under combined the parametric and external excitations. The method of multiple scales is utilized to obtain the four-dimensional averaged equation. Numerical method is used to find the periodic and chaotic motions of the composite laminated piezoelectric rectangular plate. The numerical results show the existence of the periodic and chaotic motions in the averaged equation. It is found that the chaotic responses are especially sensitive to the forcing and the parametric excitations. The influence of the transverse, in-plane and piezoelectric excitations on the bifurcations and chaotic behaviors of the composite laminated piezoelectric rectangular plate is investigated numerically. Copyright © 2008 by ASME.

Keyword:

Chaos theory Equations of motion Piezoelectricity Intelligent systems Nonlinear equations Bifurcation (mathematics) Degrees of freedom (mechanics) Piezoelectric actuators Intelligent materials Laminating Numerical methods Plates (structural components) Laminated composites

Author Community:

  • [ 1 ] [Yao, Zhi-Gang]College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, China
  • [ 2 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, China

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Source :

Year: 2008

Volume: 2

Page: 455-463

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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