This paper investigates the kinematic response of floating piles under vertically propagating S-waves and proposes a rigorous solution for its vibration. By assuming the soil rod below the pile as a fictious soil pile, all motion fields in the half-space are obtained through a rigorous continuum elasto-dynamic model. The scattered wave and free-field wave field in the soil domain are derived from the governing equations separately, which can reveal the nature of the wave scattering by pile-soil system. The derived mathematically rigorous solution represents a suitable tool to evaluate the accuracy and to benchmark the numerical methods. The predictions of the developed solution are compared with available results in the literature. The solution was then used to evaluate the effect of major soil and pile parameters on the kinematic pile response, pile deformation and curvature ratio, as well as soil displacement.

本文研究了在垂直传播的 S 波下浮桩的运动学响应，并提出了其振动的严格解决方案。假设桩下的土棒为虚拟土桩，半空间内的所有运动场均通过严格的连续体弹动力模型得到。土域中的散射波和自由场波场分别由控制方程导出，可以揭示桩土系统的波散射性质。导出的数学上严格的解决方案代表了一种合适的工具来评估精度和对数值方法进行基准测试。将开发的解决方案的预测与文献中的可用结果进行比较。然后使用该解决方案来评估主要土壤和桩参数对运动桩响应的影响，