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Multi-Pulse Chaotic Dynamics for Composite Laminated Plates

[+] Author Affiliations
Jun-Hua Zhang, Wei Zhang, Qian Wang

Beijing University of Technology, Beijing, China

Paper No. IMECE2010-38392, pp. 85-90; 6 pages
doi:10.1115/IMECE2010-38392
From:
  • ASME 2010 International Mechanical Engineering Congress and Exposition
  • Volume 8: Dynamic Systems and Control, Parts A and B
  • Vancouver, British Columbia, Canada, November 12–18, 2010
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4445-8
  • Copyright © 2010 by ASME

abstract

The heteroclinic bifurcation and multi-pulse chaotic dynamics of a simply-supported symmetric cross-ply composite laminated rectangular plate with parametric and forcing excitations are investigated in this paper for the first time. The formulas of the simply-supported composite laminated rectangular plate are derived by using Hamilton’s principle and the Galerkin’s approach. The extended Melnikov method is improved to enable us to analyze directly the non-autonomous nonlinear dynamical system, which is applied to the non-autonomous governing equations of motion for the simply-supported composite laminated rectangular plate. The results obtained here indicate that the multi-pulse chaotic motions can occur in the simply-supported composite laminated rectangular plate. Numerical simulation is also employed to find the multipulse chaotic motions of the simply-supported composite laminated rectangular plate.

Copyright © 2010 by ASME

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