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Author:

Zhang, W. (Zhang, W..) (Scholars:张伟) | Yang, J. H. (Yang, J. H..) | Zhang, Y. F. (Zhang, Y. F..) (Scholars:张跃飞) | Yang, S. W. (Yang, S. W..)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, the nonlinear vibrations of the laminated composite piezoelectric cantilever plate subjected to the transverse and in-plane excitations are investigated. Based on the Reddy's third-order plate theory and von Karman nonlinear strain-displacement relation, the nonlinear partial differential governing equations of motion are established for the laminated composite piezoelectric cantilever plate under combined the transverse and inplane excitations by applying Hamilton's principle. Employing Galerkin's approach, we discretize the continuous nonlinear dynamic equations of motion into the ordinary differential equations with four modes. Substituting the actual geometric and physical parameters of the laminated composite piezoelectric cantilever plate into the governing equation of motion, we use numerical method to investigate the effects of the lay-up parameters and the geometric parameters on the dimensionless natural frequencies of the cantilever plate. The amplitude-frequency response curves and the basin boundary diagram of two coexisting steady-state solutions are plotted for the laminated composite piezoelectric cantilever plate. The nonlinear dynamic responses of the laminated composite piezoelectric cantilever plate under combined the transverse and in-plane excitations are investigated by changing the lay-up parameters, the transverse excitation, the voltage excitation and the in-plane excitation. The periodic, the quasi-periodic, the chaotic motions and the nonlinear stiffness characteristics can be found. The nonlinear dynamic behaviors help us to optimize the structural and physical parameters of the laminated composite piezoelectric cantilever plate under combined the transverse and in-plane excitations.

Keyword:

Chaotic motion Nonlinear vibrations Piezoelectric cantilever plate Resonant response Transverse and in-plane excitations

Author Community:

  • [ 1 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 2 ] [Yang, J. H.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 3 ] [Yang, S. W.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 4 ] [Yang, J. H.]Beijing Vocat Coll Agr, Beijing 102208, Peoples R China
  • [ 5 ] [Zhang, Y. F.]Shenyang Aerosp Univ, Fac Aerosp Engn, Shenyang 110136, Liaoning, 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: 2019

Volume: 198

5 . 5 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:136

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 24

SCOPUS Cited Count: 28

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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