Abstract This study aims at portraying the vertical vibration characteristics of an end bearing pile interacting with the saturated soil that is of distinctly inhomogeneous behavior in the radial direction due to the construction disturbance. The pile is considered a one-dimensional bar. The saturated soil is considered by the Biot's two-phase linear theory and its radial inhomogeneity is simulated by the gradual variation of soil properties radially in a linear way. In practical terms, it is partitioned into a number of vertical ring-shaped zones in the radial direction with the soil properties approximately remain the same within the same soil zone. The pile–soil dynamic interaction is then obtained by solving the governing equations of each soil zone and is substituted into the governing equation of the pile to derive the analytical solution for the dynamic impedance at the pile head. The present solution is validated by comparing with other solutions. Meanwhile, it is employed to investigate the effect of the construction disturbance on the vertical vibration of the pile for different pile–soil parameters.

中文翻译：

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端承桩与径向非均质饱和土相互作用的竖向振动

摘要 本研究旨在描绘端承桩与饱和土相互作用的垂直振动特性，该饱和土由于施工扰动而在径向上具有明显的不均匀行为。桩被认为是一维条。饱和土采用Biot两相线性理论考虑，其径向不均匀性通过土壤性质的径向逐渐线性变化来模拟。在实际应用中，它在径向上被划分为若干垂直的环形带，同一土壤带内的土壤性质大致保持不变。然后通过求解每个土区的控制方程获得桩土动力相互作用，并将其代入桩的控制方程中，以推导出桩头动力阻抗的解析解。本解决方案通过与其他解决方案的比较得到验证。同时，研究了不同桩土参数下施工扰动对桩竖向振动的影响。