Study On Theory Of Train-Track-Bridge Coupling Vibration In High-Speed Raiways

Train, track and bridge establish a coupling system. The bridge will produce vibration when a train or a train set pass through. At the same time, the riding comfort and the running safety of the vehicles will be influenced as the result. People in the past study did not think over the participation of the rail, so it was difficult to accurately simulate the interaction of rails and the bridge. Meanwhile the relationship of wheel-track is very important to assess the performance of vehicles. In this thesis, we aim at establishing detailed relation of wheel-track and of bridge-track, on the basis of which, we have coded programs about the train-rail-bridge coupling system.In this thesis, the rolling stock were regarded as the multiple rigid system, and all kinds of movements of the car body, bogies and wheel-set and several of non-linear factors in vehicle suspension system were fully considered. A detailed ballast track model and dynamic equations were established. The motion equation of a bridge was established by the finite element method. Particularly, we discussed the element mass matrices and the element stiffness matrices of spatial beam element. The method we used in the derivation of eigenvalue is referred to as subspace iteration. In this thesis, we have presented the principle of wheel-track spatial geometric constrains. On the base of Hertz non-linear elastic contact theory, we derived the wheel-track normal forces. On the base of Kalker's creep theory, we derived the wheel-track creep forces and modified the values according to Shen's non-linear theory. Also, the bridge-track relation and the track irregularity theory were introduced. In view of the complicity of the coupling system, the equations of the system were solved with the help of numerical method. In the solution of the wheel-rail dynamic equations, new explicit integration method first presented by Dr Zhai was applied and in the solution of bridge dynamic equations, the Newmark-β implicit integration method was applied. The dynamic evaluation norm of the rolling stock were summed up in this paper such as the derailment coefficient, reduction rate of wheel load, Sperling's ride index, etc.