Application of reduced basis method in harmonic analysis of track-tunnel-soil system
In order to improve the prediction efficiency of railway-induced vibration,the harmonic analysis method of the track-tunnel-soil system was proposed based on the reduced basis method.The reduced basis method was applied in the harmonic analysis of the track-tunnel-soil system.Combining the finite element method and the theoretical analytical method,the resampling calculation of the frequency response function of the system in the original solution domain was realized on the basis of the existing calculation frequency samples.The proposed method in this paper was compared with the finite element method and linear interpolation method.The results show that in any models with different scales,the calculation errors of the proposed method are obviously lower than those of linear interpolation.Meanwhile,compared with the finite element method,the proposed method can maintain high calculation accuracy and efficiency under different threads.With the increase of model scale,the acceleration ratio of the proposed method is higher than that of the finite element method,and the maximum acceleration ratio can exceed 2 000.