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

Abstract

The analytical dynamic compliance of an elastic pipe pile fully buried in a fluidfilled 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.

Vertical dynamic response of pipe pile embedded in unsaturated soil based on fractional‐order standard linear solid model and Rayleigh‐Love rod model

“…This is significantly inconsistent with the reality of the soil being a multi-phase medium. Therefore, to describe the influence of soils on the dynamic response of pipe piles in a more refined manner, many researchers including Zhang et al, 16,17 Cui et al, 18,19 Zheng et al, [20][21][22] Xiao et al, 23 and Ai et al 24,25 employed fluid-saturated porous media to simulate the physical and mechanical properties of the soil and further investigate the pile-soil interaction from different perspectives. However, it is generally accepted that the unsaturated soil exists in a large number of engineering constructions, in which the soil skeleton is filled with two kinds of fluids, generally water and air.…”