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Author:

Zhang Wei (Zhang Wei.) | Gao MeiJuan (Gao MeiJuan.) | Yao MingHui (Yao MingHui.) | Yao ZhiGang (Yao ZhiGang.)

Indexed by:

EI Scopus SCIE PKU CSCD

Abstract:

The analysis on the chaotic dynamics of a six-dimensional nonlinear system which represents the averaged equation of a composite laminated piezoelectric rectangular plate is given for the first time. The theory of normal form and the energy-phase method are combined to investigate the higher-dimensional chaotic dynamics of the composite laminated piezoelectric rectangular plate. Firstly, the theory of normal form is used to reduce the six-dimensional averaged equation to the simpler normal form. Then, the energy-phase method is extended to analyze the global bifurcations and chaotic dynamics of a six-dimensional nonlinear system. The analysis results indicate that there exist the homoclinic bifurcation and Shilnikov type multi-pulse chaos for the composite laminated piezoelectric rectangular plate. Finally, numerical simulations are also used to investigate the nonlinear dynamic characteristics of the composite laminated piezoelectric rectangular plate. The results of numerical simulations also demonstrate that there exist the chaotic motions and the multi-pulse jumping orbits of the composite laminated piezoelectric rectangular plate.

Keyword:

normal form jumping orbits energy-phase method chaotic motion composite laminated piezoelectric rectangular plate numerical simulation

Author Community:

  • [ 1 ] [Zhang Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Gao MeiJuan]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Yao MingHui]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 4 ] [Yao ZhiGang]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 张伟

    [Zhang Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

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Source :

SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY

ISSN: 1672-1799

Year: 2009

Issue: 12

Volume: 52

Page: 1989-2000

JCR Journal Grade:3

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 25

SCOPUS Cited Count: 31

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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