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Author:

Yang, J. (Yang, J..) | Zhang, W. (Zhang, W..) | Yao, M. (Yao, M..) | Yu, T. (Yu, T..)

Indexed by:

Scopus

Abstract:

The bifurcations of a composite laminated cantilevered plate are studied, which is simultaneously forced by the voltage, base and in - plane excitations. The nonlinear partial differential governing equations of the system motion are established by using the Hamilton's principle. The Galerkin approach is used to discretize the partial differential equations to the ordinary differential equations with four degree of freedom. Numerical simulations are also carried out to investigate the effects of the voltage excitation on the steady-state responses of the cantilevered piezoelectric plate. The bifurcation diagram of the system is then obtained. The system motions can be shown as follows: the chaotic motion to the multiple periodic motion. The results show that the amplitude of the system can reduce effectively and keep the stability by adjusting the voltage excitation.

Keyword:

Bifurcation; Cantilever plate; Chaos; Hamilton principle; Nonlinear dynamics

Author Community:

  • [ 1 ] [Yang, J.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Yang, J.]Beijing Vocational College of Agriculture, Beijing, 102208, China
  • [ 3 ] [Zhang, W.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
  • [ 4 ] [Yao, M.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
  • [ 5 ] [Yu, T.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China

Reprint Author's Address:

  • [Zhang, W.]College of Mechanical Engineering, Beijing University of TechnologyChina

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Source :

Journal of Dynamics and Control

ISSN: 1672-6553

Year: 2017

Issue: 6

Volume: 15

Page: 489-493

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 10

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