中文摘要：

为了对地铁列车运营引起的环境振动进行高效、高精度的预测,全面考虑列车真实行进过程对环境产生的效应,并假想隧道–地层系统为线路纵向无限个完全相同的薄片结构两两相接所组成的周期结构,其中各薄片结构均由围绕隧道近场的有限单元及可提供良好边界条件的远场无限单元构成。在将环境振动激励力分解为各激励频率轮轨力对应的成分基础上,利用叠加原理及线路纵向任意一薄片结构在单一频率轮轨力激励下存有的周期性边界条件,在频域内将列车引起三维隧道–地层系统振动响应问题的求解转化到在线路纵向一个薄片范围内进行。研究结果表明,提出的模型能有效地对列车运营引起隧道–地层系统在任意方向上的任意振动物理量进行预测,其不仅预测精度高,而且计算速度快、计算能力强;地铁列车运营引起地表在横向、垂向及纵向3个方向上的振动速度及加速度响应具有相似的频率成分及同一量级的时域最大振幅。

英文摘要：

In order to carry out the all-round prediction with high efficiency and high precision for the metro train-induced environmental vibration,the effect of the actual moving award process of train on the environment was taken into full consideration,and the tunnel-soil system was supposed as a longitudinal periodic structure,which consists of a series of the identical sliced structures successively arrayed in the longitudinal direction of tunnel. Each sliced structure was supposed to be composed of the finite elements in the near field of tunnel and the infinite elements in the far field away from the tunnel which can provide good boundary conditions. Based on the decompositions of the environmental vibration excitation forces into the components corresponding to the wheel-rail forces with various excitation frequencies,utilizing the principle of superposition and the periodic boundary conditions existed in each longitudinal sliced structure under the wheel-rail forces with a single excitation frequency,the solution of the vibration response of the actual three-dimensional tunnel-soil system induced by the moving train was transformed to be solved within a longitudinal sliced range in the frequency domain. Computation results show that the proposed model can effectively predict any train-induced vibration physical quantity of tunnel-soil system in any direction. the model not only has high prediction precision,but also has fast calculation speed and strong calculation ability. The ground surface vibration velocity and acceleration responses in the transverse,vertical and longitudinal directions induced by metro train have the similar frequency components,and their time-domain maximum amplitudes are in the same order of magnitude.