论文标题
弹性波的有效模型，在底物中繁殖的弹性波，支撑着弯曲的谐振的密集板/梁
Effective model for elastic waves propagating in a substrate supporting a dense array of plates/beams with flexural resonances
论文作者
论文摘要
我们考虑了半侵入弹性地面上一系列板或梁的影响，对弹性波的传播撞击界面。板/梁是细长的身体，在低频下具有弯曲的谐振，能够显着扰动地面波的传播。使用渐近分析和均质化技术获得了有效的模型，可以单独用地面来表达罗宾类型的有效动态（频率依赖性）边界条件。对于处于倾斜发生率的入射平面波，位移场和反射系数以封闭形式获得，并通过在二维设置中与直接数字进行比较来检查其有效性。
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.
