Dynamic response of bridges with elastic bearings due to high speed trains

In this study, an analytical approach is presented for investigating the dynamic response of bridges with elastic bearings due to high-speed trains. The bridge is modeled as a beam supported by two identical elastic bearings at its two ends, and the train moving over the bridge as a sequence of moving loads with constant intervals. The analytical solution is obtained by approximating the vibration shape of the elastically supported beam as the composition of a flexural deformation mode and a rigid displacement mode, the accuracy of which is demonstrated through comparison with an independent finite element analysis that considers all modes of vibration. The present results indicate that the elastic bearings inserted at the supports of the bridge can significantly amplify the response of the bridge when subjected to the moving loads, especially when the condition of resonance is met, which is harmful to the riding comfort or maneuverability of the train.