Open Access
16 October 2005 Stable and unstable bifurcation in the von Kármán problem for a circular plate
Andrei Borisovich, Joanna Janczewska
Abstr. Appl. Anal. 2005(8): 889-899 (16 October 2005). DOI: 10.1155/AAA.2005.889

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.

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Andrei Borisovich. Joanna Janczewska. "Stable and unstable bifurcation in the von Kármán problem for a circular plate." Abstr. Appl. Anal. 2005 (8) 889 - 899, 16 October 2005. https://doi.org/10.1155/AAA.2005.889

Information

Published: 16 October 2005
First available in Project Euclid: 22 December 2005

zbMATH: 1090.74022
MathSciNet: MR2201922
Digital Object Identifier: 10.1155/AAA.2005.889

Rights: Copyright © 2005 Hindawi

Vol.2005 • No. 8 • 16 October 2005
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