Study on a Time-varying Spatial Model of Railway Tangent Track Vibration

By using finite element method, the sleeper was divided by linear viscoelastic continuously supported beam element and the rail was divided by linear viscoelastic discretely supported beam element. The lateral vibration, longitudinal vibration, vertical vibration, bending vibration and torsional vibration of each element node were considered. A time-varying model of railway tangent track spatial vibration was proposed. The time-varying mass matrix, damp matrix and stiffness matrix of track spatial vibration were set up by using the principle of stationary total potential energy in elastic system dynamics, and the technology of track added and cut down. Taking a Chinese 25Z vehicle as an example, the dynamic responses of the vehicle-track coupling vibration in 200 s are calculated, which are very close to the spot testing results.