桩在饱和土中水平振动的辐射阻尼简化算法

Simple radiation damping model for horizontally vibrating pile in saturated soil

将适用于单相土-桩系统的Novak的平面应变假设和Gazetas的分象限假设推广到饱和土-桩系统中。通过简化后的微分方程推导了饱和土-桩系统辐射阻尼系数的解析解答。最后用算例说明了饱和土中两个压缩波的特性,比较了饱和土和单相土的单位桩长辐射阻尼系数,比较了简化算法和三维有限元方法求得的桩头辐射阻尼比,结果证明简化算法在一定条件下适用于计算分层饱和土-桩系统的辐射阻尼。

The plane-strain assumption by Novak and the quarter-plane partition assumption by Gazetas which proved to be effective for the analysis of single-phase soil-pile system are extended in this paper to the saturated soil-pile system. An analytical solution of radiation damping in saturated soil-pile system is derived from the simplified differential equations. Numerical examples are presented to illustrate the properties of two compression waves and to compare the radiation damping of unit pile length in saturated soil with that in single-phase soil. Moreover, the simple model is compared with the three-dimensional finite element model in calculating the radiation damping ratio for the pile head. The results show that the simple model is suitable for calculating the radiation damping in layered saturated soil-pile system under certain conditions.