Vol. 13, No. 3, 2018

Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 4, 541–572
Issue 3, 303–540
Issue 2, 157–302
Issue 1, 1–156

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the journal
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN (electronic): 1559-3959
ISSN (print): 1559-3959
Author index
To appear
Other MSP journals
Approximate analysis of surface wave-structure interaction

Nihal Ege, Bariş Erbaş, Julius Kaplunov and Peter Wootton

Vol. 13 (2018), No. 3, 297–309

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.

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