Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (4): 325-329.

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A METHOD OF DETERMINING BUCKLED STATES OF THIN PLATES AT A DOUBLE EIGENVALUE

He Lu-wu, Cheng Chang-jun   

  1. Department of Mechanics, Lanzhou University, Lanzhou
  • Received:1991-06-17 Online:1992-04-18 Published:1992-04-18
  • Supported by:
    The Project supported by the National and Gansu Province Natural Science Foundation of China

Abstract: A method of determining bifurcation directions at a double eigenvalue is presented by combining the finite element method with the perturbation method. By using the present method, the buckled states of rectangular plates at a double eigenvalue are numerically analyzed. The results show that this method is effective.

Key words: double eigenvalue, bifurcation directions, FEM, perturbation method, buckling of rectangular plates

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