Vol. 13, No. 3, 2018

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ISSN: 1559-3959
Approximate analysis of surface wave-structure interaction

Nihal Ege, Bariş Erbaş, Julius Kaplunov and Peter Wootton

Vol. 13 (2018), No. 3, 297–309
Abstract

Surface wave-structure interaction is studied starting from a specialised approximate formulation involving a hyperbolic equation for the Rayleigh wave along with pseudostatic elliptic equations over the interior of an elastic half-space. The validity of the proposed approach for modelling a point contact is analysed. Explicit dispersion relations are derived for smooth contact stresses arising from averaging the effect of a regular array of spring-mass oscillators and also of elastic rods attached to the surface. Comparison with the exact solution of the associated plane time-harmonic problem in elasticity for the array of rods demonstrates a high efficiency of the developed methodology.

Keywords
Rayleigh wave, approximate model, array of oscillators, soil-structure interaction
Milestones
Received: 9 December 2017
Revised: 10 May 2018
Accepted: 16 May 2018
Published: 31 August 2018
Authors
Nihal Ege
Department of Mathematics
Anadolu University
Eskisehir
Turkey
Bariş Erbaş
Department of Mathematics
Anadolu University
Yunusemre Campus
Eskisehir
Turkey
Julius Kaplunov
School of Computing and Mathematics
Keele University
Keele
United Kingdom
Peter Wootton
School of Computing and Mathematics
Keele University
Keele
United Kingdom