2. Theoretical modelIn rail transit, the force generated when the train crosses a bridge isfinally transmitted to the bridge through the wheels, rails, fasteners,track slabs, etc., which causes the vibration of the bridge. Therefore, theforce directly transmitted to the bridge affects the radiation law of thebridge-born noise. The interaction between the vehicle and the trackdetermines the law of force transfer. Therefore, the theoretical model ofthe vehicle-track coupling interaction system in the frequency domainis first introduced. Then, a refined FE vibration prediction model forlong-span steel is established in the low frequency domain, and a statistical energy vibration prediction model is established for the middlehigh frequency.