Sliced finite element-infinite element coupling model for predicting environmental vibration induced by metro train
MA Longxiang1，2，LIU Weining3，LIU Weifeng3，YAN Qixiang1，2
(1. School of Civil Engineering，Southwest Jiaotong University，Chengdu，Sichuan 610031，China；2. Key Laboratory of Transportation Tunnel Engineering，Ministry of Education，Southwest Jiaotong University，Chengdu，Sichuan 610031，China；3. School of Civil and Architectural Engineering，Beijing Jiaotong University，Beijing 100044，China)
Abstract：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.
马龙祥1，2，刘维宁3，刘卫丰3，晏启祥1，2. 地铁列车振动环境影响预测的薄片有限元–无限元耦合模型[J]. 岩石力学与工程学报, 2016, 35(10): 2131-2141.
MA Longxiang1，2，LIU Weining3，LIU Weifeng3，YAN Qixiang1，2. Sliced finite element-infinite element coupling model for predicting environmental vibration induced by metro train. , 2016, 35(10): 2131-2141.
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2016, Vol. 35 
