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Author:

Zhang, Wei (Zhang, Wei.) | Yao, Ming-Hui (Yao, Ming-Hui.) | Gao, Mei-Juan (Gao, Mei-Juan.) | Yao, Zhi-Gang (Yao, Zhi-Gang.)

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EI Scopus

Abstract:

This paper focuses on the multi-pulse orbits and chaotic dynamics of the six-dimensional nonlinear system for the composite laminated piezoelectric rectangular plate using the theory of normal form and the energy-phase method. Taking into account that the averaged equation has a double zero and two pairs of pure imaginary eigenvalues, we use the theory of normal form to simplify the six-dimensional averaged equation to a simpler normal form. The energy-phase method is to be extended to study the dynamical characteristic of the six-dimensional nonlinear system. The global theory analysis indicates that there exist the homoclinic bifurcation and Shilnikov type multi-pulse jumping chaotic dynamics in the system under the small perturbation. In order to illustrate the theoretical predictions, the Runge-Kutta algorithm is used to perform numerical simulation. The results of numerical simulations also demonstrate that the jumping phenomena of orbits can occur in the composite laminated piezoelectric rectangular plate. Copyright © 2009 by ASME.

Keyword:

Piezoelectricity Runge Kutta methods Eigenvalues and eigenfunctions Chaos theory Dynamics Bifurcation (mathematics) Nonlinear systems Laminating Laminated composites Numerical models

Author Community:

  • [ 1 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 2 ] [Yao, Ming-Hui]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 3 ] [Gao, Mei-Juan]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 4 ] [Yao, Zhi-Gang]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China

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Source :

Year: 2010

Volume: 11

Page: 259-265

Language: English

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: 9

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