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

Andrei Borisovich and Joanna Janczewska

Abstract and Applied Analysis, 2005, vol. 2005, 1-11

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:845303

DOI: 10.1155/AAA.2005.889

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