Vertical frequency‐domain compliance of an elastic pipe pile embedded in a liquid‐filled and porous‐viscoelastic soil

The analytical dynamic compliance of an elastic pipe pile fully buried in a fluid‐filled and porous‐viscoelastic soil stratum resting on rigid bedrock and subjected to a vertical time‐harmonic load is proposed. In this study, the Hamilton's principle of dynamics is employed to establish the governing equations for the pipe pile, which is treated as a two‐dimensional (2D) hollow bar structure. The outer and inner soil media surrounding the pipe pile are considered as three‐dimensional (3D), homogenous, and liquid‐saturated porous continuum, besides they are described by the porous‐elastic media model proposed by de Boer. The governing equations for the pipe pile and the soils are solved with the aid of the separation technique of variables, and also utilizing the boundary and contact conditions of the pipe pile and the soils. Then, the analytical solution for the vertical dynamic compliance of the pipe pile is derived. By comparing with the existing solutions and finite element model (FEM), the results from the newly proposed method confirm its validation. Comparative analyses of numerical examples are finally conducted to reveal the variations and response principle of the dynamic compliance of the pipe pile under different material/geometry parameters.