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Dispersion of elastic waves in a layer interacting with a Winkler foundation

Kaplunov

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Abstract

ABSTRACT
Dispersion of plane harmonic waves in an elastic layer interacting with a one- or two-sided Winkler foundation is analyzed. The long-wave low-frequency polynomial approximations of the full transcendental dispersion relations are derived for a relatively soft foundation. The validity of the conventional engineering formulation of a Kirchhoff plate resting on an elastic foundation is investigated. It is shown that this formulation has to be refined near the cutoff frequency of bending waves. The associated near cutoff expansion is obtained for both cases. A simple explicit formula demonstrating veering of bending and extensional waves is presented for a one-sided foundation.

Acceptance Date Nov 1, 2018
Publication Date Nov 21, 2018
Publicly Available Date Mar 28, 2024
Journal Journal of the Acoustical Society of America
Print ISSN 0001-4966
Publisher Acoustical Society of America
DOI https://doi.org/10.1121/1.5079640
Publisher URL https://asa.scitation.org/doi/10.1121/1.5079640

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