Keywords: railway bridge-vehicle dynamics, vehicles composition, rigid body dynamics, structural dynamics, track irregularities, finite element analysis.

This paper provides a contribution to the topic of the interaction dynamic analysis of the railway bridge-vehicle system. Song, Noh and Choi [1] propose a three-dimensional finite element model for high-speed train-bridge systems, considering bouncing, swaying, pitching and yawing motions of the vehicle. This work is an extension of a previous work of the authors [2]. In that work, a single nine-degree-of-freedom vehicle is conceived and applied to a bridge modeled using Euler-Bernoulli beam finite elements. The vehicle model has the capability of representing bouncing, rolling and pitching motions. Here, a composition of such vehicles is constructed and applied as a moving load on the same bridge model.

Modal analyses and dynamic responses of both vehicle and bridge structures subjected to speed and vertical track irregularities are presented. The resonant speeds of the vehicle for its nine degrees-of-freedom are identified. The vehicle is analyzed for its resonant speeds and corresponding track irregularities. All displacements are shown to be of an oscillatory nature.

Further, the bridge is analyzed subject to a composition of ten vehicles of the type described above under constant speed and vertical track irregularities. The critical speeds of the train in the resonance condition of the bridge are determined. The displacement at mid span of the bridge for a resonant speed exhibits beating. Displacements of the bridge are also detected when critical track irregularities are applied to the train running at a lower speed.

1

M.-K. Song, H.-C. Noh, C.-K. Choi, "A new three-dimensional finite element analysis model of high-speed train-bridge interactions", Engineering Structures, 25, 1611-1626, 2003. doi:10.1016/S0141-0296(03)00133-0

2

F.L.M. Beghetto, J.E. Abdalla Filho, "Dynamic Response of Railway Bridge and Vehicle Subject to Speed and vertical Track Irregularities Variations", In: CMNE/CILAMCE 2007, Porto, Portugal, "Anais do CMNE/CILAMCE 2007", Porto, 1, 1-20, AMPTAC, 2007.

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