The paper presents an analytical solution for the vertical dynamic interaction analysis of a poroelastic soil layer and an embedded pile with the consideration of pile-soil radial deformations. The soil is treated a three-dimensional porous continuum and described by the Boer’s poroelastic model, while the pile is treated as a two-dimensional rod with both radial and vertical deformations of which the equation of motion is derived by the Hamilton’s variational principle. Without the introduction of potential functions, first take the volumetric strain of soil skeleton and pore fluid pressure as intermediate variables to deal with the equations of motion for the soil and then use the separation of variables to solve the equations of motion for the soil and the pile. By imposing the boundary and continuity conditions of the pile-soil system, the dynamic impedance in frequency domain and the velocity response in time domain of the pile top are obtained. The present solution is then verified by comparing with the corresponding finite element model computation results and the existing solutions. The effects of the pile-soil parameters on the dynamic characteristic of the pile-soil system are also analyzed. Some significant conclusions are drawn, which can provide useful reference for related engineering practice.

提出了一种考虑桩土径向变形的多孔弹性土层与预埋桩竖向动力相互作用分析的解析解决方案。将土壤处理为三维多孔连续体，并用Boer多孔弹性模型进行描述，而将桩视为具有径向和垂直变形的二维杆，其运动方程式是根据汉密尔顿的变分原理导出的。在不引入势函数的情况下，首先将土壤骨架的体积应变和孔隙流体压力作为中间变量来处理土壤的运动方程，然后使用变量的分离来求解土壤和土壤的运动方程。桩。通过施加桩土系统的边界条件和连续性条件，得到了桩顶的频域动态阻抗和时域速度响应。然后，通过与相应的有限元模型计算结果和现有解决方案进行比较来验证本解决方案。分析了桩土参数对桩土系统动力特性的影响。得出一些重要结论，可为相关工程实践提供有益的参考。