Three models for vehicle-bridge coupled vibrations, namely moving mass model, two-degree-of
freedom vehicle model and four-degree-of freedom vehicle model, were derived using the D Alembert s
principle and the hypothesis ofEuler-Bernulli beam. The dynamic responses of bridges tothe vehicle moving
at different speeds were analyzedwith the models. The results showthat all the three models can reasonably
determine the bridge vibrations under moving loads. However, more accurate results can be obtained with
the last two models taking the springs and damping properties of vehicles into accunt.