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

Author:

Zhang, Wei (Zhang, Wei.) | Guo, Xiangying (Guo, Xiangying.) | Wang, Qian (Wang, Qian.) | Liu, Cuicui (Liu, Cuicui.)

Indexed by:

EI Scopus

Abstract:

This paper is intended to investigate the nonlinear oscillations and chaotic dynamics of a simply supported angle-ply composite laminated rectangular thin plate with parametric and external excitations and the method of multiple scales is presented to study the ordinary differential equation of the system. According to the Reddy's third-order plate theory, the governing equations of motion for the angle-ply composite laminated rectangular thin plate are derived by using the Hamilton's principle. Then, the Galerkin procedure is applied to the partial differential governing equation to obtain a two-degrees-of-freedom nonlinear system including the quadratic and cubic nonlinear terms. Such equations are utilized to deal with the resonant case of 1:2 internal resonance and primary parametric resonance-1/2 subharmonic resonance. Furthermore, the stability analysis is given for the steady-state solutions of the averaged equation. Based on the nonlinear governing equations obtained by the asymptotic perturbation method, the phase portrait and power spectrum are used to analyze the multi-pulse chaotic motions of the angle-ply composite laminated rectangular thin plate. Under certain conditions the various chaotic motions of the angle-ply composite laminated rectangular thin plate are found. Keywords: angle-ply composite laminated plate, third-order shear deformation theory, parametric excitation, choatic motion.

Keyword:

Degrees of freedom (mechanics) Shear deformation Perturbation techniques Chaotic systems Resonance Ordinary differential equations Nonlinear equations Laminating Equations of motion Laminated composites Oscillators (mechanical)

Author Community:

  • [ 1 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 2 ] [Guo, Xiangying]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 3 ] [Guo, Xiangying]College of Mechanical Engineering, Rice University, 6100 main street, Houston; TX; 77005, United States
  • [ 4 ] [Wang, Qian]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 5 ] [Liu, Cuicui]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China

Reprint Author's Address:

Email:

Show more details

Related Keywords:

Related Article:

Source :

Year: 2010

Volume: 2

Page: 78-83

Language: English

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

Online/Total:752/10578272
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.