APPROXIMATE ANALYSIS OF SURFACE WAVE-STRUCTURE INTERACTION

被引:13
作者
Ege, Nihal [1 ]
Erbas, Baris [2 ]
Kaplunov, Julius [3 ]
Wootton, Peter [3 ]
机构
[1] Anadolu Univ, Dept Math, Eskisehir, Turkey
[2] Anadolu Univ, Dept Math, Yunusemre Campus, Eskisehir, Turkey
[3] Keele Univ, Sch Comp & Math, Keele, Staffs, England
关键词
Rayleigh wave; approximate model; array of oscillators; soil-structure interaction;
D O I
10.2140/jomms.2018.13.297
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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.
引用
收藏
页码:297 / 309
页数:13
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