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

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 bifurcati...

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Bibliographic Details
Main Authors: Andrei Borisovich, Joanna Janczewska
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA.2005.889
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Summary: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.
ISSN:1085-3375
1687-0409