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Author:

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

Indexed by:

EI Scopus SCIE

Abstract:

The multi-pulse orbits and chaotic dynamics of a simply supported laminated composite piezoelectric rectangular plate under combined parametric excitation and transverse excitation are studied in detail. It is assumed that different layers are perfectly bonded to each other with piezoelectric actuator patches embedded. The nonlinear equations of motion for the laminated composite piezoelectric rectangular plate are derived from von Karman-type equation and third-order shear deformation plate theory of Reddy. The two-degree-of-freedom dimensionless equations of motion are obtained by using the Galerkin approach to the partial differential governing equation of motion for the laminated composite piezoelectric rectangular plate. The four-dimensional averaged equation in the case of primary parametric resonance and 1: 3 internal resonances is obtained by using the method of multiple scales. From the averaged equation, the theory of normal form is used to find the explicit formulas of normal form. Based on the normal form obtained, the energy phase method is utilized to analyze the multi-pulse global bifurcations and chaotic dynamics for the laminated composite piezoelectric rectangular plate. The analysis of the global dynamics indicates that there exist multi-pulse jumping orbits in the perturbed phase space of the averaged equation. Based on the averaged equation obtained, the chaotic motions and the Shilnikov type multi-pulse orbits of the laminated composite piezoelectric rectangular plate are also found by numerical simulation. The results obtained above mean the existence of the chaos in the Smale horseshoe sense for the simply supported laminated composite piezoelectric rectangular plate.

Keyword:

chaotic dynamics energy phase method laminated composite piezoelectric rectangular plates multi-pulse orbit

Author Community:

  • [ 1 ] [Yao MingHui]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 3 ] [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 CHINA-TECHNOLOGICAL SCIENCES

ISSN: 1674-7321

Year: 2011

Issue: 8

Volume: 54

Page: 2064-2079

4 . 6 0 0

JCR@2022

ESI Discipline: ENGINEERING;

JCR Journal Grade:2

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 20

SCOPUS Cited Count: 21

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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