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PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON RAILWAY TECHNOLOGY: RESEARCH, DEVELOPMENT AND MAINTENANCE
Edited by: J. Pombo
Analysis of Train-Track-Bridge Interaction using Modal Superposition and Moving Track Method
S.H. Hwang, S.C. Yang and E. Kim
HSR System Research Center, Korea Railroad Research Institute, Republic of Korea
S.H. Hwang, S.C. Yang, E. Kim, "Analysis of Train-Track-Bridge Interaction using Modal Superposition and Moving Track Method", in J. Pombo, (Editor), "Proceedings of the Third International Conference on Railway Technology: Research, Development and Maintenance", Civil-Comp Press, Stirlingshire, UK, Paper 277, 2016. doi:10.4203/ccp.110.277
Keywords: train-track interaction, track-bridge interaction, modal superposition method, direct stiffness method, moving track.
The analysis of train-track-bridge interaction has been considered in depth for a long time, in the vertical direction (two-dimensional) only or including the lateral direction (three-dimensional). However almost in every trial analysis the interaction between them simplifies some of each components because the three-dimensional interaction analysis requires large amounts of time for calculating the interaction behaviour
The modal superposition method is a good alternative to significantly reduce the calculations, in a sense that the total degrees-of-freedom (D.O.Fs) of the bridge can be expressed as a few mode shapes and their natural frequencies. Even the use of the modal superposition technique is not efficient for the case of long-span bridges because the track length gets longer and the D.O.Fs of track itself are still large. The time step could be divided into a few micro seconds in order to calculate the detailed wheel-rail contact force when considering rail movement which is induced by the train moving on the long-span bridge.
Therefore an efficient method to analyze the interaction of train-track-bridge is necessary. This paper proposes a method which models the short-length track which can move according to the running train, and can be connected to the bridge by modal superposition. Some assumptions and basic equations are derived to express the moving track and system matrix which uses the direct stiffness method and modal superposition method.
The proposed method can efficiently reduce the total D.O.Fs under consideration and finally the CPU time needed. It produces good agreement with the results of the full track model and is estimated to be used easily in evaluating the running safety and riding comfort of trains on the long-span bridges.
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