QIU Ping, WANG Xin-zhi, YEH Kai-yuan. Bifurcation and Chaos of the Circular Plates on the Nonlinear Elastic Foundation[J]. Applied Mathematics and Mechanics, 2003, 24(8): 779-784.
Citation: QIU Ping, WANG Xin-zhi, YEH Kai-yuan. Bifurcation and Chaos of the Circular Plates on the Nonlinear Elastic Foundation[J]. Applied Mathematics and Mechanics, 2003, 24(8): 779-784.

Bifurcation and Chaos of the Circular Plates on the Nonlinear Elastic Foundation

  • Received Date: 2002-07-11
  • Rev Recd Date: 2003-05-02
  • Publish Date: 2003-08-15
  • According to the large amplitude equation of the circular plate on nonlinear elastic foundation,elastic resisting force has linearitem,cubic nonlinearitem and resisting bend elasticitem.Anonlinear vibration equation is obtained with the method of Galerkin under the condition of fixed boundary.Floquet exponent at equilibrium point is obtained without external excitation.Its stability and condition of possible bifurcation is analysed.Possible chaotic vibration is analysed and studied with the method of Melnikov with external excitation.The critical curves of the chaotic region and phase figure under some foundation parameters are obtained with the method of digital artificial.
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