Abstract This paper proposes a new efficient three-dimensional (3D) method to predict the vertical building vibration generated by trains running in tunnels in a multi-layered half-space. The tunnel-ground-building dynamic interaction involving in the proposed method is handled using the sub-structuring approach. The multi-story building is considered as rectangular floors supported by a distribution of columns. Each building floor is divided into several sub-plates. The dynamic stiffness matrix of a single sub-plate derived by the dynamic stiffness method is assembled to obtain the global one of each building floor. The free edge condition of the building floor is satisfied in this solution. The train-track-tunnel-ground dynamic interaction is modelled by a fully-coupled analytical method. The proposed method shows sufficient efficiency and accuracy, making it a suitable tool for predicting large-scale vibrations and performing parametric studies. The responses of a four-story building generated by the passage of trains in a tunnel are analyzed. The building vibrations are significantly affected by the dynamic properties of the building and the building-ground dynamic interaction. The dynamic interaction between the shallow foundations of buildings has a considerable influence on the building vibrations in the low-frequency range. The isolation effectiveness of the floating slab track and the base-isolation of buildings is highly dependent on the isolation frequency.

中文翻译：

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一种从地下铁路网络预测建筑物振动的有效三维方法

摘要 本文提出了一种新的高效三维 (3D) 方法来预测列车在多层半空间隧道中运行时产生的建筑物垂直振动。所提出的方法中涉及的隧道-地面-建筑动态交互使用子结构化方法处理。多层建筑被认为是由分布的柱子支撑的矩形楼层。每个建筑楼层被分成几个子板。由动刚度法导出的单个子板的动刚度矩阵被组装以获得每个建筑楼层的全局一个。该解决方案满足建筑楼层的自由边缘条件。列车-轨道-隧道-地面动态相互作用通过全耦合分析方法进行建模。所提出的方法显示出足够的效率和准确性，使其成为预测大规模振动和执行参数研究的合适工具。分析了火车在隧道中通过时产生的四层建筑的响应。建筑物的动态特性和建筑物与地面的动态相互作用对建筑物振动有显着影响。建筑物浅基础之间的动力相互作用对低频范围内的建筑物振动有相当大的影响。浮板轨道的隔离效果和建筑物的基础隔离在很大程度上取决于隔离频率。分析了火车在隧道中通过时产生的四层建筑的响应。建筑物的动态特性和建筑物与地面的动态相互作用对建筑物振动有显着影响。建筑物浅基础之间的动力相互作用对低频范围内的建筑物振动有相当大的影响。浮板轨道的隔离效果和建筑物的基础隔离在很大程度上取决于隔离频率。分析了火车在隧道中通过时产生的四层建筑的响应。建筑物的动态特性和建筑物与地面的动态相互作用对建筑物振动有显着影响。建筑物浅基础之间的动力相互作用对低频范围内的建筑物振动有相当大的影响。浮板轨道的隔离效果和建筑物的基础隔离在很大程度上取决于隔离频率。