Numerical Analysis of the Three-Dimensional Dynamic Response of Railway Subgrade Induced by Heavy-Haul Trains Based on FEM Model

Research on the dynamic response of subgrades is essential for designing heavy-haul railway subgrades. Therefore, a dynamic stress field test was carried out on the Daqin Railway using a three-dimensional dynamic soil pressure box capable of measuring the total stress component of soil elements. Then, a train–track–subgrade coupling finite-element model (FEM) considering the track irregularity and infinite element boundary conditions was established, and the validity of the model was verified using field test results. Subsequently, based on the field test results, the actual three-dimensional dynamic response and stress path of the subgrade under a train load were analyzed. Based on the FEM results, the effects of the train axle load, train speed, subgrade stiffness, and subgrade thickness on the three-dimensional dynamic response of the subgrade were analyzed, and a prediction model of the vertical dynamic stress was proposed. Finally, the influence of the depth of the heavy-haul train loads on the subgrade was studied. Research has shown that the normal stress caused by two wheelsets under the same bogie has a superposition effect, and each peak value of the normal stress corresponds to the center position of the bogie. When the train passes through the test section, the stress path of the soil element directly below the track is fairly elliptical, and the principal stress axis of the soil element rotates by 180°. The normal stresses σx, σy, and σz increase proportionally with the speed and axle load of the train but decrease inversely proportional to the thickness of the ballast layer. The subgrade stiffness significantly influences the normal stress σx and σy but has no apparent influence on the normal stress σz. The influence depth of the train load in the subgrade is related to the axle load, train speed, and thickness of the ballast layer, but is unrelated to the stiffness of the subgrade surface layer. This study provides practical and theoretical data for analyzing the dynamic performance of heavy-haul railway subgrades.