• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
搜索

Author:

Yao, Minghui (Yao, Minghui.) | Zhang, Wei (Zhang, Wei.) (Scholars:张伟) | Wang, D. M. (Wang, D. M..)

Indexed by:

EI Scopus SCIE

Abstract:

This paper investigates the multipulse heteroclinic bifurcations and chaotic dynamics of a laminated composite piezoelectric rectangular plate by using an extended Melnikov method in the resonant case. According to the von Karman type equations, Reddy's third-order shear deformation plate theory, and Hamilton's principle, the equations of motion are derived for the laminated composite piezoelectric rectangular plate with combined parametric excitations and transverse excitation. The method of multiple scales and Galerkin's approach are applied to the partial differential governing equation. Then, the four-dimensional averaged equation is obtained for the case of 1:3 internal resonance and primary parametric resonance. The extended Melnikov method is used to study the Shilnikov type multipulse heteroclinic bifurcations and chaotic dynamics of the laminated composite piezoelectric rectangular plate. The necessary conditions of the existence for the Shilnikov type multipulse chaotic dynamics are analytically obtained. From the investigation, the geometric structure of the multipulse orbits is described in the four-dimensional phase space. Numerical simulations show that the Shilnikov type multipulse chaotic motions can occur. To sum up, both theoretical and numerical studies suggest that chaos for the Smale horseshoe sense in motion exists for the laminated composite piezoelectric rectangular plate.

Keyword:

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 ] [Wang, D. M.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 姚明辉

    [Yao, Minghui]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

Show more details

Related Keywords:

Related Article:

Source :

MATHEMATICAL PROBLEMS IN ENGINEERING

ISSN: 1024-123X

Year: 2014

Volume: 2014

ESI Discipline: ENGINEERING;

ESI HC Threshold:176

JCR Journal Grade:3

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 3

SCOPUS Cited Count: 6

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

Online/Total:493/5283308
Address:BJUT Library(100 Pingleyuan,Chaoyang District,Beijing 100124, China Post Code:100124) Contact Us:010-67392185
Copyright:BJUT Library Technical Support:Beijing Aegean Software Co., Ltd.