与实心桩相比，由于土塞与管桩内壁复杂的相互作用，开口管桩的桩-土动力相互作用问题更为复杂。因此，需深入研究考虑土塞效应时的管桩-土体动力相互作用问题。首先，考虑管桩的横向惯性效应及其黏性性质，采用Rayleigh-Love动力杆件模型和附加质量模型建立了桩侧土-管桩-土塞系统的纵向振动控制方程。进一步，采用积分变换和阻抗函数传递技术，分别得到了任意荷载形式下管桩桩顶速度频域响应的解析解以及半正弦脉冲激励作用下桩顶速度时域响应的半解析解。最后，通过与现有解及模型试验的对比研究验证了理论解的合理性，并研究了管桩设计参数对桩顶纵向振动特性的影响。结果表明，当管桩其他设计参数不变时，管桩截面尺寸越大或长度越小时，应力波传播过程中的弥散效应越明显。对于同样外半径的管桩，壁厚越大时，越容易检测到土塞顶部界面及桩尖传来的反射信号，就能对管桩的施工质量进行更为合理的评价。

Compared with the solid pile, the vertical vibration of open-ended pipe pile is much more complex due to the complicated dynamic interaction between the soil plug and the inner wall of pipe pile. Therefore, the dynamic interaction of pipe pile and soil should be further investigated by considering the effect of soil plug. Firstly, by considering the lateral inertial effect and viscous property of pipe pile, governing equations of vibration for the pile surrounding soil-pipe pile-soil plug system under vertical dynamic loading are established based on the Rayleigh-Love rod model and additional mass model. Then, the analytical solution of velocity response in frequency domain at the pipe pile top is obtained by means of the integral transform technique and impedance function transfer method. The velocity response in time domain is also derived with half-cycle sine pulse applied on the top of pipe pile. Finally, the rationality of the theoretical solution derived in this paper is verified by comparing with the existing solutions and experimental results. Meanwhile, discussion about the influence of the design parameters of pipe pile on the vertical dynamic response at the pile top indicates that the dispersion effect of stress wave propagating in the pipe pile signifies with the increase of pipe pile section and the decrease of pipe pile length when the other parameters of soil-pipe pile system is constant. For the piles with same outer diameter, the reflective signals at the upper surface of soil plug and the pile tip are easier to be detected as the width of pile shaft increases, leading to the more reasonable assessment of the pipe pile integrity.