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Author:

Yao, Zhigang (Yao, Zhigang.) | Zhang, Wei (Zhang, Wei.) | Chen, Lihua (Chen, Lihua.)

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EI Scopus PKU CSCD

Abstract:

The paper investigated the nonlinear dynamics, bifurcation and chaotic dynamics of simply supported laminated piezoelectric composite beam with axial and transverse loading. The nonlinear equations of motions of the beam are first derived based on the general von Karman-type equations and the Reddy third-order shear deformation plated theory. The partial differential equations are discretized to the ordinary differential equations using the Galerkin approach. The averaged equations are obtained with the method of multiple scales. Numerical simulation is carried out to investigate the periodic and chaotic motions of the beam. The results show that the chaotic responses of the beam are sensitive to the piezoelectric excitations. Furthermore, the oscillation of the piezoelectric laminated composite beam can be controlled with the piezoelectric excitation.

Keyword:

Bifurcation (mathematics) Laminating Laminated composites Ordinary differential equations Composite beams and girders Dynamics Piezoelectricity Nonlinear equations Chaotic systems Equations of motion

Author Community:

  • [ 1 ] [Yao, Zhigang]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 2 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 3 ] [Chen, Lihua]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China

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Source :

Chinese Journal of Theoretical and Applied Mechanics

ISSN: 0459-1879

Year: 2009

Issue: 1

Volume: 41

Page: 129-140

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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