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

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

In this work, we study bifurcation in the von Krmn 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...

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Veröffentlicht in:Abstract and applied analysis 2005-01, Vol.2005 (8), p.889-899
Hauptverfasser: Borisovich, Andrei, Janczewska, Joanna
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Janczewska, Joanna
description In this work, we study bifurcation in the von Krmn 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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title Stable and unstable bifurcation in the von Krmn problem for a circular plate
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