Dynamic analysis of an axially loaded pile embedded in elastic‐poroelasitc layered soil of finite thickness

Abstract

This paper presents an analytical solution for determining the dynamic characteristics of axially loaded piles embedded in elastic-poroelastic layered soil of finite thickness. The interface between the elastic and poroelastic soil coincides with the groundwater table level, which is explicitly taken into account in the solution. The pile is modelled as elastic one-dimensional rod to account for the effect of its dynamic characteristics on the response of the soil-pile system. The solution is based on Biot's poroelastodynamic theory and the classical elastodynamic theory, which we use to establish the governing equations of the soil and pile. Accordingly, the pile base resistance, shaft reaction, and the complex impedance of soil-pile system are obtained using the method of Hankel integral transformation. Following the validation of the derived solution, we identify the main parameters affecting the vertical dynamic impedance of the pile via a parametric study. The presented method poses as an efficient alternative for quickly estimating the dynamic characteristics of axially loaded piles, without having to resort to complex numerical analyses. K E Y W O R D Selastic pile, elastic soil, impedance, poroelastic soil, vertical vibration

An analytical solution for the horizontal vibration behavior of a cylindrical rigid foundation in poroelastic soil layer

“…Similar method for solving definite integrals and its adaptability are conducted in study of Hayati et al 21 . and Zheng et al 22–24 $$$$\begin{equation*}{K_{11}}\left( {r,t} \right) = \sqrt {rt} \int_0^\infty {\xi \left[ {\frac{{{Q_{11}}\left( \xi \right)}}{{{l_1}}} - 1} \right]{J_{ - \frac{1}{2}}}\left( {\xi r} \right){J_{ - \frac{1}{2}}}\left( {\xi t} \right)} d\xi ,\;{K_{12}}\left( {r,t} \right) = \sqrt {rt} \int_0^\infty {\xi \left[ {\frac{{{Q_{12}}\left( \xi \right)}}{{{l_2}}} - 1} \right]{J_{ - \frac{1}{2}}}\left( {\xi r} \right){J_{\frac{3}{2}}}\left( {\xi t} \right)} d\xi ,\end{equation*}$$$$…”

“…where Φ 1 (r) and Φ 2 (r) can be calculated from the Gauss-Legendre quadrature method. Similar method for solving definite integrals and its adaptability are conducted in study of Hayati et al 21 and Zheng et al [22][23][24] 𝐾 11 (𝑟, 𝑡) =…”

Stable parameters identification for rational approximation of Single degree of freedom frequency response function of semi‐infinite medium

“…) is always less than x 2j ; in this case, it is necessary to make the value of x 2j greater than zero in order to satisfy Equation (13). The parameter boundary is given by Equation ( 14) and is shown in Figure 2B.…”

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.…”