Abstract
A coupled model of a track-layered ground-in-filled trench system is developed to investigate the isolation effects of an in-filled trench on reducing vibrations generated by moving train loads. By using the substructure method, the whole model is decomposed into two parts: the layered ground containing the in-filled trench and the track. Firstly, the flexibility coefficient for moving uniformly distributed loads applied on the layered ground containing the trench is obtained by using the 2.5D indirect boundary element method. Then, the dynamic equilibrium equation of the track under the moving train loads and uniformly distributed loads are established. Finally, the layered ground and the track are coupled according to the equivalence between the deformation of the track and the vertical displacement of the layered ground. The validity of the method is confirmed by comparing its results with the published ones. Numerical calculations are performed by embedding an in-filled trench in a homogenous ground, in a single layered ground and also in the real site at Ledsgard as examples. The results show that the isolation effects are different for different ground conditions and for different geometric parameters such as the depth, width and location of the in-filled trench.
Highlights
In recent years, the rapid development of high-speed trains promotes the economy greatly, and improves people's life significantly
Gao et al [9] established 2.5D finite element model of train-track-ground-vibration countermeasures and analyzed the effectiveness of different vibration countermeasures including open trench, in-filled trench and concrete slab in isolating the ground vibrations induced by trains moving at sub- and high-speeds
Where, ̃ ( ), ̃ ( ), ̃ ( ), ( ), ( ), ( ) are the tractions and displacements on the interface corresponding to the layered ground; ̃ ( ), ̃ ( ), ̃ ( ), ( ), ( ), ( ) are the tractions and displacements on the interface corresponding to the in-filled trench; ̃ ( ), ̃ ( ), ̃ ( ), ( ), ( ), ( ) are the tractions and displacements on the interface corresponding to the free wave field; For simplicity, ( ), the weighting function, is chosen as a unite matrix to calculate the integral over each element separately
Summary
The rapid development of high-speed trains promotes the economy greatly, and improves people's life significantly. Gao et al [9] established 2.5D finite element model of train-track-ground-vibration countermeasures and analyzed the effectiveness of different vibration countermeasures including open trench, in-filled trench and concrete slab in isolating the ground vibrations induced by trains moving at sub- and high-speeds. Other researches in this area in recent years are carried out by Hildebrand [10], Yang et al [11], Jesmani et al [12], Tsai [13], and Zakeri et al [14]. The proposed method is used to investigate the isolation effects of the Swedish high-speed train X-2000 induced vibration at Ledsgard by using the in-filled trench
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