中文摘要：

在单桩动力响应简化算法研究的基础上，提出了一个用于计算瑞利波激励下的单桩竖向动力响应的简化解析方法，得到了桩底固支时单桩竖向动力位移分布的闭合解。采用考虑桩周土的非匀质性的Novak薄层法计算地基土动力阻抗的方法，获得桩底固支时单桩竖向动力响应的计算公式。分析结果表明非匀质区刚度与匀质区刚度比、非匀质区大小对单桩竖向动力位移响应有一定影响。

英文摘要：

On the basis of the research on a simple analytical computation, a simple analytical solution is presented to calculate the response of a single-pile,when excited by the passage of Rayleigh waves. Closed-form expression for the vertical displacement distributions is presented when the pile tip is fixed. The analytical result for fixed-tip pile is obtained through Novak layer method for radially inhomogeneous soil. It is shown that in vertical motion, the size of the inhomogeneous zone, the stiffness radio of the homogeneous zone to the inhomogeneous zone have some effects on the dynamic displacement distribution of the single-pile.