In this paper, the kinematic responses of a pipe pile embedded in a poroelastic soil layer with rigid substratum under time-harmonic seismic P waves are studied with analytical development. The pipe pile is regarded as a two-dimensional (2D) hollow bar with both vertical and radial deformations, and its equations of motion are established by using the Hamilton’s variational principle. Both the inner and outer soils around the pile are treated as three-dimensional fluid-filled porous continuum which are described with the Boer’s poroelastic medium model. Firstly, the soil skeleton volume strain and the pore liquid pressure designated as intermediate variables are employed to cope with the soil’s motion equations. Then with the aid of the separation variables method, the pile–soil motion equations are solved. Upon the pile–soil boundary and interfacial conditions, the analytical solutions for the kinematic amplification coefficient and kinematic response factor describing the pile–soil seismic effects are derived. The proposed solutions are verified by the comparisons with the numerical results of the reported solutions and the corresponding finite element model (FEM). Finally, the parametric analyses on the dynamic characteristics of the coupling pile–soil system under different pile–soil parameters are performed, and relevant meaningful conclusions are also included.

本文通过解析发展研究了埋入具有刚性基质的多孔弹性土层中的管桩在时谐地震P波下的运动学响应。管桩被视为具有垂直和径向变形的二维（2D）空心杆，并利用哈密尔顿变分原理建立其运动方程。桩周围的内部和外部土壤都被视为三维流体填充的多孔连续体，用 Boer 的多孔弹性介质模型进行描述。首先，将土骨架体积应变和孔隙液体压力指定为中间变量来处理土的运动方程。然后借助分离变量法求解桩土运动方程。在桩土边界和界面条件下，导出了描述桩土地震效应的运动放大系数和运动响应因子的解析解。通过与报告的解决方案的数值结果和相应的有限元模型（FEM）的比较来验证所提出的解决方案。最后，对不同桩土参数下耦合桩土系统的动力特性进行了参数化分析，并得出了相关的有意义的结论。通过与报告的解决方案的数值结果和相应的有限元模型（FEM）的比较来验证所提出的解决方案。最后，对不同桩土参数下耦合桩土系统的动力特性进行了参数化分析，并得出了相关的有意义的结论。通过与报告的解决方案的数值结果和相应的有限元模型（FEM）的比较来验证所提出的解决方案。最后，对不同桩土参数下耦合桩土系统的动力特性进行了参数化分析，并得出了相关的有意义的结论。