arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2001.06334physics.class-phphysics.comp-ph
收藏

弹性波在支承密集板/梁阵列的基底中弯曲共振传播的有效模型

Effective model for elastic waves propagating in a substrate supporting a dense array of plates/beams with flexural resonances

Jean-Jacques Marigo, Kim Pham, Agnès Maurel, Sébastien Guenneau

摘要:

本文研究了半无限弹性地基上的板或梁阵列对弹性波在接触面上传播的影响。板/梁是具有低频弯曲共振的细长体,能够显著干扰波在地面中的传播。使用渐近分析和均匀化技术,它可以表示在地面单独与有效的动态(频率相关)的罗宾的类型的边界条件,获得一个有效的模型。对于斜入射的平面波,位移场和反射系数的封闭形式,并检查其有效性与直接数值模拟在二维设置。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑