On the lift-off constant for elastically supported plates

Author:

Bass R.,Horák J.,McKenna P.

Abstract

In this paper we continue the study begun by Kawohl and Sweers of the precise constant at which the elastic foundation supporting a bending plate can allow lift-off in the case of downward loading. We provide a number of numerical results and a rigorous result on a different counterexample than the one suggested in Kawohl and Sweers (2002). Important open problems are summarized at the conclusion.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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5. Potential theory for the Schrödinger equation;Cranston, M.;Bull. Amer. Math. Soc. (N.S.),1986

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