||The dynamic interactions of train-rail-bridge have been a subject of research since the nineteenth century. In the last twenty years, due to the construction of a high-speed railway system, the problem of train-rail-bridge interactions has received increasing attention in Taiwan.|
A high-speed railway (HSR) system in the west corridor between Taipei and Kaohsiung has been under construction. One special feature of the Taiwan high-speed railway is that the elevated bridges are adopted as the major supporting structures for over seventy percent of the railway lines.In the previous studies, a train was often modelled as a series of moving forces or moving masses, while the track structure existing on the bridge was ignored. The moving force model is one of the simplest analysis that excludes consideration of the effect of inertia of the vehicle. The moving mass model is an improved one for high-speed trains that accurately describes the force between the structure and the vehicle. But such simplified model is sufficiently accurate, if the riding comfort and environmental vibrations due to the train are of major concern.
A series of mass particles do not accurately describe the heaving inertia of the train. Thus, in this study, we consider a more realistic two-dimensional modeling of the high-speed train by using a series of multiple rigid bodies. We also consider different combination of train operations, including a series of following trains and two trains crossing each other.
|| Ting, E. C. , J.Genin, and J. H. Ginsberg, ,”A general algorithm for moving mass problem.” , Journal of Sound and Vibration 33, 49.,1974 |
 E. C. Ting, J.Genin, and J. H. Ginsberg, ,”Dynamic Interaction of Bridge Structure and Vehicles” , The Shock and Vibration Digest, vol.7, no.11,1975, p.61.
 E. C. Ting, J.Genin, and J. H. Ginsberg, ,”Vihicle-Guideway Interaction Problem” , The Shock and Vibration Digest, vol.11, no.12 , p.3,1979.
 E. C. Ting and J.Genin, ,” Dynamic of Bridge Structures ” , Solid Mechanics Archives , vol.3, Issue 3, p.217,1980.
 E. C. Ting and M.Yener ,” Vihicle-Structure Interactions in Bridge Dynamics” , The Shock and Vibration Digest , vol.15, no .12, December,1983.
 M. R. Taheri, E. C. Ting, and A. R. Kukreti , ,”Vihicle-Guideway Interactions: a Literature Review” , The Shock and Vibration Digest, vol.22, no.6 , June,1990.
 林志錚（June,1999）, “三維動力互制模擬與分析”, 國立中央大學土木工程研究所碩士論文。
 蕭豐稼（June,1999）, “列車與道碴軌道之動力互制分析”, 國立中央大學土木工程研究所碩士論文。
 吳演聲（June,2000）, “常時與地震作用下之列車-鋼軌-橋梁動力互制行為”, 國立台灣大學土木工程研究所博士論文。