The numerical prediction of vibration in buildings due to underground railways involves modelling many physical phenomena. Not least of these is the dynamic soil-structure interaction that exists between the various elements of the system. The majority of existing models assume that the interaction between the railway tunnel and the building’s foundation is negligible, with the two sub-systems behaving as though they are uncoupled. This paper presents some initial results from a three-dimensional model that accounts for the through-soil coupling between a tunnel and a piled foundation. The model is based on the pipe-in-pipe model, of a circular, longitudinally invariant tunnel excited by wheel-rail roughness, coupled to a boundary-element model of the foundation using an iterative wave-scattering approach. Initial test cases, involving single piles and pile-groups, highlight new details of tunnel-pile and pile-pile interaction, as well as predicting the effect of piles on ground vibration levels.

地下铁路引起的建筑物振动的数值预测涉及对许多物理现象的建模。其中最重要的是系统各个要素之间存在的动态土壤-结构相互作用。现有的大多数模型都假定铁路隧道与建筑物基础之间的相互作用可忽略不计，并且两个子系统的行为好像是没有耦合的。本文介绍了三维模型的一些初步结果，该模型解释了隧道与桩基之间的贯穿土耦合。该模型基于管轮模型，该模型是由轮轨粗糙度激励的圆形纵向不变隧道，并使用迭代波散射方法耦合到基础的边界元模型。初始测试用例