Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (3): 241-250.

• Articles • Previous Articles     Next Articles

NONLINEAR VIBRATION OF CIRCULAR CORRUGATED PLATES

Wang Xin-zhi, Wang Lin-xiang, Hu Xiao-fang   

  1. Gansu University of Technology, Lanzhou
  • Received:1986-05-06 Online:1987-03-18 Published:1987-03-18

Abstract: In this paper, first by using Hamilton principle, we derive the variational equation of circular corrugated plates. Taking the central maximum amplitude of circular corrugated plates as the perturbation parameter and adopting the perturbation variational method, in the first-order approximation, we obtain the natural frequency of linear vibration of circular corrugated plates and then the nonlinear natural frequency of the corrugated plates. By comparing with the linear results, the attempt of this paper is proved feasible.

Key words: rotating circular cylinder, vortex pattern, finite difference method, vortex method, preconditioned conjugate gradient method, incomplete LU decomposition

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