The influence of anisotropic properties and layering of saturated soils on dynamic response of a circular foundation under time-harmonic vertical loading is studied in this paper. The foundation is modeled as a rigid disk, with either permeable or impermeable and smooth contact surface, whereas a multilayered transversely isotropic poroelastic half-space is defined for the supporting soil. To investigate the dynamic interaction problem, a displacement and flow boundary condition at the contact surface is constituted by employing a discretization technique and the displacement influence functions, which are obtained from the exact stiffness matrix scheme, with the stiffness matrices being presented explicitly for the first time. A set of numerical results are presented to portray the effects of anisotropic and poroelastic properties, hydraulic boundary conditions, soil heterogeneity, and frequency of excitation on vertical dynamic response of rigid circular foundations. In addition, vertical vibrations of a ring foundation and a massive circular foundation are also investigated.

中文翻译：

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多层横向各向同性多孔弹性半空间中刚性圆形基础的竖向动力响应

本文研究了时谐垂直荷载作用下各向异性和饱和土分层对圆形地基动力响应的影响。基础被建模为刚性圆盘，具有可渗透或不可渗透且光滑的接触表面，而为支撑土壤定义了多层横向各向同性多孔弹性半空间。为了研究动态相互作用问题，接触面的位移和流动边界条件是通过采用离散化技术和位移影响函数构成的，这些函数是从精确的刚度矩阵方案获得的，刚度矩阵是第一个明确提出的时间。给出了一组数值结果来描述各向异性和多孔弹性特性的影响，水力边界条件、土壤异质性和激励频率对刚性圆形基础垂直动力响应的影响。此外，还研究了环形基础和大型圆形基础的垂直振动。