The Dynamic Response Analysis of Wuhan Rail Transit System Based on the Random Vibration Theory

The vertically dynamic model of track-ground system is developed to analyze the dynamic response of Wuhan light rail, where the vehicle in the coupling system is a whole locomotive with two layers of spring and damping system, and the rails are considered as Euler beams with finite length rested on double layer elastic foundation. Based on the random vibration theory, the random responses of power spectral density of the rails, the sleepers and the ballasts are analyzed with the Wilson-θ numerical integral method. The results show that the PSD of rails mostly concentrates on high frequency, while the vibration energy of ballasts falls within the frequency of about one hundred, as the vibration gets attenuated when it spreads to the foundation.