According to the theories of wave propagation in visco-elastic continuum and Rayleigh-Love rod, a simplified model in axisymmetric conditions for the longitudinal vibration of large-diameter pipe pile (LDPP) in radially heterogeneous surrounding soil with viscous damping is presented. The relevant analytical solution for dynamic impedance at pile head is derived by using complex stiffness transfer method, which is also validated via independent comparisons with previous solutions. Besides, parametric analyses are carried out to reveal both the radial heterogeneity of surrounding soil and the lateral inertia effect of pile shaft on the dynamic impedance of LDPP. The obtained analytical solutions are suitable for the longitudinal vibration issues of floating LDPP in visco-elastic surrounding soil with radial heterogeneity, which can be conveniently degenerated to describe the longitudinal vibration of a floating solid pile in soil with radial heterogeneity as well as a floating LDPP or solid pile in radially homogenous soil.

根据波在粘弹性连续体和Rayleigh-Love杆中的传播理论，建立了具有粘性阻尼的径向非均质围土中大直径管桩（LDPP）纵向振动轴对称条件下的简化模型。桩头动态阻抗的相关解析解采用复刚度传递法推导出来，并通过与以往解的独立比较得到验证。此外，通过参数分析，揭示了周围土体的径向非均质性和桩身的横向惯性对LDPP动态阻抗的影响。得到的解析解适用于浮动LDPP在具有径向非均质性的粘弹性围土中的纵向振动问题，