Vibration resonance and cancellation of medium–low speed maglev train-simply supported beam under moving loads

The medium–low speed maglev train was simplified as moving loads models, based on the theoretical solution for vibrations of the simply supported beam under moving loads, resonance and cancellation conditions were derived. A medium–low speed maglev train of 3-railcars formation passing through a 25 m simply supported beam was taken as an example, with its vibration resonance and cancellation phenomena analyzed when the moving loads with different characteristic lengths pass through the beam. Research results show that: different characteristic lengths correspond to different resonance and cancellation speeds; when resonance occurs, the dynamic responses of the moving loads acting successively on the beam are same in phase, and the free vibrations of the beam are amplified after superimposed; when cancellation occurs, the dynamic responses of the moving loads acting on the beam are opposite in phase; thus, the free vibrations of the beam cancel to null.