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Author:

Zhang, Y. F. (Zhang, Y. F..) (Scholars:张跃飞) | Zhang, W. (Zhang, W..) | Yao, Z. G. (Yao, Z. G..)

Indexed by:

EI Scopus SCIE

Abstract:

The nonlinear vibrations and chaotic motions of a simply supported symmetric cross-ply composite laminated piezoelectric rectangular plate subjected to the transverse and in-plane excitations are analyzed in the case of primary parametric resonance and 1:3 internal resonance. It is assumed that different layers of the 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 equation of motion for the composite laminated piezoelectric rectangular plate is derived by using the Hamilton's principle. The Galerkin's approach is employed to discretize the partial differential governing equation 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 bifurcation diagram, the periodic and chaotic motions of the composite laminated piezoelectric rectangular plate. The numerical results illustrate 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 influences of the transverse, in-plane and piezoelectric excitations on the bifurcations and chaotic behaviors of the composite laminated piezoelectric rectangular plate are investigated numerically.

Keyword:

Nonlinear vibrations Modelling Composite laminated piezoelectric plate Internal resonance Bifurcations Chaotic motions

Author Community:

  • [ 1 ] [Zhang, Y. F.]Shenyang Aerosp Univ, Fac Aerosp Engn, Shenyang 110136, Liaoning, Peoples R China
  • [ 2 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 3 ] [Yao, Z. G.]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 Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

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Source :

ENGINEERING STRUCTURES

ISSN: 0141-0296

Year: 2018

Volume: 173

Page: 89-106

5 . 5 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:156

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 52

SCOPUS Cited Count: 55

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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