Research on periodic and chaotic oscillations of composite laminated plates with one-to-one internal resonance

Wei Zhang, Xiang Ying Guo, Siu Kai Lai

Research output: Journal article publicationJournal articleAcademic researchpeer-review

16 Citations (Scopus)

Abstract

This paper presents an analysis on the nonlinear vibrations of a simply supported composite laminated rectangular thin plate with parametric and forcing excitations. In accordance with the Reddy's high-order shear deformation theory and the model of von Karman type geometric nonlinearity, the nonlinear governing partial differential equations of motion can be derived by the using the Hamiltonian principle. The Galerkin discretization approach and the method of multiple scales are then incorporated to formulate the four-dimensional averaged equation. The case of 1:1 internal resonance as well as fundamental parametric resonance for the simply supported composite laminated rectangular thin plate is studied by numerical simulation. The results of numerical simulation demonstrate that periodic and chaotic motions exist in the composite laminated rectangular thin plate under certain excitation conditions.
Original languageEnglish
Pages (from-to)1567-1583
Number of pages17
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Volume10
Issue number11-12
DOIs
Publication statusPublished - 1 Jan 2009
Externally publishedYes

Keywords

  • Chaotic motion
  • Composite laminated plates
  • Higher-order shear deformation
  • Multiple scale method
  • Periodic motion

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Computational Mechanics
  • Modelling and Simulation
  • Engineering (miscellaneous)
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Applied Mathematics

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