Asymptotic analysis of high frequency modes for thin elastic plates

Author:

Kerdid Nabil

Abstract

<abstract><p>In this paper, we show that the high frequency modes of a thin clamped plate and the associated eigenfunctions converge, as the thickness of the plate goes to zero, to the eigenvalues and the eigenfunctions of a two-dimensional eigenvalue problem associated to the stretching displacements of the plate.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference19 articles.

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5. H. Le Dret, Modeling of the junction between two rods, J. Math. Pure Appl., 68 (1989), 365–397.

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