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A method of determining buckled states of thin plates at a double eigenvalue

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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.

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Authors and Affiliations

  1. Department of Mechanics, Lanzhou University, Lanzhou

    He Lu-xu & Cheng Chang-jun

Authors
  1. He Lu-xu
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  2. Cheng Chang-jun
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Additional information

Communicated by Yeh Kai-yuan

The Project supported by the National and Gansu Province Natural Science Foundation of China

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Lu-xu, H., Chang-jun, C. A method of determining buckled states of thin plates at a double eigenvalue. Appl Math Mech 13, 325–329 (1992). https://doi.org/10.1007/BF02451418

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  • DOI: https://doi.org/10.1007/BF02451418

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