Model for Vertical Dynamic Analysis of the Vehicle-Track Coupling System
With the sustained and rapid social and economic development in China, there is an increasing demand for railway passenger and freight transport, making it vital and urgent for freight trains to increase their capacity and passenger trains to improve thei
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Model for Vertical Dynamic Analysis of the Vehicle-Track Coupling System
With the sustained and rapid social and economic development in China, there is an increasing demand for railway passenger and freight transport, making it vital and urgent for freight trains to increase their capacity and passenger trains to improve their speed and riding quality on the premise of assuring traffic safety. Thus, it is necessary to predict the dynamic characteristics of wheel-rail interaction for the design and to make new types of rolling stocks and the construction and maintenance of railways. Railways with better dynamic performance are essential for safe and stable running of the trains as vehicles with better dynamic performance will reduce their damage to railways in the interactions between vehicles and railways. However, despite human beings’ capability to simulate accurately the motion of a flying object in the space and to keep a precise control of it as well, it is still impossible for human beings to simulate wheel-rail interaction in an accurate way, which means the wheel-rail relationship and the vehicle-track interaction still remain as difficult problems in the dynamic study of vehicles and tracks. Rolling stocks and track structure constitute an integrated system, in which they interrelate and interact with each other. Therefore, during the study of dynamic performance of rolling stocks, railways cannot simply be regarded as external exciting disturbance. In other words, railways itself do not own the characteristics of excitation that lie independently of the trains. Vibration in the system is induced by the random wheel and rail irregularities. The method of simulated analysis is taken by many people in various countries in order to have a close study on the dynamic characteristics of track structure, with the advantage of replacing the costly and time-consuming physical tests to conduct numerical simulation study on the problems in question. In recent years, various computational models have been developed [1–22], and some progress has been achieved. In this chapter, as the base of track structure vibration analysis, the fundamental theory of dynamic finite element method is introduced, and various analysis models of vehicle-track coupling system are discussed. © Science Press, Beijing and Springer Nature Singapore Pte Ltd. 2017 X. Lei, High Speed Railway Track Dynamics, DOI 10.1007/978-981-10-2039-1_6
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6.1
Model for Vertical Dynamic Analysis …
Fundamental Theory of Dynamic Finite Element Method
6.1.1
A Brief Introduction to Dynamic Finite Element Method
Great progress has been made in response analysis of the structure subjected to dynamic load, as a result of various practical needs such as dynamic analysis of nuclear power stations, dams, and high-rise buildings under earthquake load; dynamic analysis of offshore platform under wind, wave, and fluid load; and vibration analysis of railway track structure under moving trains and dynamic analysis of various mechanical equipment in the proce
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