APPROXIMATE ANALYSIS OF SURFACE WAVE-STRUCTURE INTERACTION

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EGE N., ERBAŞ B., Kaplunov J., Wootton P.

JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, vol.13, no.3, pp.297-309, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.2140/jomms.2018.13.297
  • Journal Name: JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.297-309
  • Keywords: Rayleigh wave, approximate model, array of oscillators, soil-structure interaction
  • Anadolu University Affiliated: Yes

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.