We consider the effect of an array of plates or beams over a semi-infinite elastic ground on the propagation of elastic waves hitting the interface. The plates/beams are slender bodies with flexural resonances at low frequencies able to perturb significantly the propagation of waves in the ground. An effective model is obtained using asymptotic analysis and homogenization techniques, which can be expressed in terms of the ground alone with effective dynamic (frequency-dependent) boundary conditions of the Robin’s type. For an incident plane wave at oblique incidence, the displacement fields and the reflection coefficients are obtained in closed forms and their validity is inspected by comparison with direct numerics in a two-dimensional setting.

我们考虑了半无限弹性地面上的一组板或梁对撞击界面的弹性波传播的影响。板/梁是细长的物体，在低频下具有弯曲共振，能够显着扰动地面中的波传播。使用渐近分析和均质化技术可以获得有效的模型，这些模型可以仅用地面来表示，并且具有有效的Robin（罗宾类型）动态（取决于频率）边界条件。对于倾斜入射的平面波，以封闭形式获得位移场和反射系数，并通过与二维设置中的直接数值进行比较来检验其有效性。