Prediction method and experimental verification of vibration response caused by underground high-speed railways

Aiming at the problem of vibration caused by underground high-speed railways, this paper proposes a vibration prediction method based on the multi-point transfer ratio in the frequency domain. The transmission information of vibration signals from the tunnel to the surface was obtained by an in situ hammer excitation test, and the acceleration response near the vibration source was calculated via high-precision vehicle-track coupling analysis and a finite element model of the tunnel. Then, the superposition operation was carried out in consideration of the position change of the train, and the surface vibration response caused by the underground high-speed railway was finally predicted. An in situ vibration test was carried out near an underground high-speed railway line and the measured data were compared with the predicted data. The results demonstrate that the predicted and measured time domain peaks were similar, and the main vibration frequencies were both located in the range of 30-70 Hz. Moreover, the 1/3-octave spectra were also very similar, and the root mean square error of acceleration and the Z vibration level error were less than 1.9%. The comparison results show that the proposed method can be used to predict the vibration response caused by the operation of underground high-speed railways with high precision.