This research is concentrated on the longitudinal vibration of a tapered pipe pile considering the vertical support of the surrounding soil and construction disturbance. First, the the pile–soil system is partitioned into finite segments in the vertical direction and the Voigt model is applied to simulate the vertical support of the surrounding soil acting on the pile segment. The surrounding soil is divided into finite ring-shaped zones in the radial direction to consider the construction disturbance. Then, the shear complex stiffness at the the pile–soil interface is derived by solving the dynamic equilibrium equation for the soil from the outermost to innermost zone. The displacement impedance at the top of an arbitrary pile segment is obtained by solving the dynamic equilibrium equation for the pile and is combined with the vertical support of the surrounding soil to derive the displacement impedance at the bottom of the upper adjacent segment. Further, the displacement impedance at the pile head is obtained based on the impedance function transfer technique. Finally, the reliability of the proposed solution is verified, followed by a sensitivity analysis concerning the coupling effect of the pile parameters, construction disturbance and the vertical support of the surrounding soil on the displacement impedance of the pile.

本研究集中于考虑周围土壤垂直支撑和施工扰动的锥形管桩的纵向振动。首先，将桩-土体系在竖向方向上划分为有限段，并应用Voigt模型模拟周围土体对桩段的竖向支撑作用。考虑施工扰动，将周围土体沿径向划分为有限的环形区域。然后，通过求解土体从最外层到最内层的动平衡方程，得到桩土界面处的剪切复刚度。通过求解桩的动平衡方程，得到任意桩段顶部的位移阻抗，并结合周围土体的竖向支撑，推导出上部相邻管段底部的位移阻抗。进一步，基于阻抗函数传递技术获得桩头处的位移阻抗。最后验证了所提方案的可靠性，并对桩身参数、施工扰动以及周围土体竖向支撑的耦合效应对桩身位移阻抗进行了敏感性分析。