The effects of sloping ground on the vertical pile-to-pile interaction for end-bearing piles embedded in a homogenous soil are investigated through three-dimensional finite element simulations. The wave propagation mechanism and pile to pile interaction factor are investigated in detail from displacement and axial force perspectives. For contrast, soil attenuation and wave diffraction induced by a vertically vibrating end-bearing pile in horizontal ground are also studied. The highlight is put on the amplitude and phase lag in soil-pile system to reveal the essential characteristics of dynamic pile-pile interaction. Numerical results show that the dynamic displacement of a free field is position dependent. Moreover, the interaction factor of receiver pile on the upslope side is larger than the one on the downslope, since the longer embedded segment absorbs a greater amount of energy from the surrounding soil. On the basis of the numerical findings, an analytical model is established to calculate the dynamic responses of pile groups in sloping ground.

通过三维有限元模拟研究了倾斜地面对均质地基中承重桩竖向桩-桩相互作用的影响。从位移和轴向力的角度详细研究了波的传播机理和桩与桩之间的相互作用因子。为了进行对比，还研究了垂直振动的端承桩在水平地面中引起的土壤衰减和波衍射。重点放在土桩系统中的振幅和相位滞后上，以揭示桩-桩动力相互作用的本质特征。数值结果表明，自由场的动态位移与位置有关。此外，上坡侧接收桩的相互作用系数大于下坡侧的桩身相互作用系数，因为较长的嵌入段会从周围的土壤中吸收更多的能量。在数值结果的基础上，建立了一个解析模型来计算斜坡上群桩的动力响应。