This paper aims to investigate the dynamic behaviour of layered transversely isotropic (TI) poroelastic media subjected to rectangular harmonic loads. First, governing equations of a medium layer derived from Biot's dynamic theory of porous media and constitutive equations of TI materials are converted into the ordinary differential domain by means of integral transform techniques. Next, by introducing boundary and load conditions, the extended precise integration method (PIM) is applied to obtain the solution for a multi-layered system. Then, after an inverse integral treatment, the numerical results in the physical domain are verified with published work, and some examples are designed to unravel the effect of transverse isotropy, load frequencies and stratification on the dynamic behaviour of media.

中文翻译：

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矩形谐波载荷作用下层状横向各向同性多孔弹性介质的动力学行为

本文旨在研究层状横向各向同性（TI）多孔弹性介质在矩形谐波载荷作用下的动态行为。首先，将Biot多孔介质动力学理论导出的介质层控制方程和TI材料的本构方程通过积分变换技术转化为常微分域。接下来，通过引入边界条件和载荷条件，应用扩展精确积分法（PIM）获得多层系统的解。然后，经过逆积分处理，物理域中的数值结果与已发表的工作进行了验证，并设计了一些示例来揭示横向各向同性、载荷频率和分层对介质动态行为的影响。