An advance vehicle-slab track-soil dynamic interaction model based on differential quadrature finite element method

To solve the problem of large matrix size and low computational efficiency of the finite element model in the vehicle-track-soil model, the differential quadraticity finite element method (DQFEM) with both p-convergence and h-convergence is used to establish the vehicle-track-soil dynamic interaction model, and the multi-scale coupling method and wheel-rail matrix coupling method were used to connect each component of the system. The reliability of the proposed model is validated by comparing the dynamic responses obtained by the model base on the DQFEM and FEM from the perspective of time domain and frequency domain. Moreover, by comparing the characteristic frequency and its convergence characteristics of DQFEM model and FEM model, the accuracy and efficiency of the DQFEM in vehicle-track-soil system simulation is demonstrated. In the case study, the distribution of vehicle-induced vibration in vehicle-rail-soil system is analyzed in both time domain and frequency domain. It is found that the main frequency distribution of far-field vibration is only related to the vibration characteristics of soil. Therefore, the main frequency of soil vibration should be avoided in the design of track structure parameters to reduce the environmental vibration level.