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Stable and unstable bifurcation in the von Kármán problem for a circular plate

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  • Andrei Borisovich
  • Joanna Janczewska

Abstract

In this work, we study bifurcation in the von Kármán equations for a thin circular elastic plate which lies on the elastic base and is simply supported and subjected to a compressive force along the boundary. Applying analytical methods, we prove the existence of stable and unstable simple bifurcation points in the solution set of these equations.

Suggested Citation

  • Andrei Borisovich & Joanna Janczewska, 2005. "Stable and unstable bifurcation in the von Kármán problem for a circular plate," Abstract and Applied Analysis, Hindawi, vol. 2005, pages 1-11, January.
    • Handle: RePEc:hin:jnlaaa:845303
    DOI: 10.1155/AAA.2005.889
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