|
|||||
 |
|
|
|
|
|
|
|
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 |
|
