關於軌道車輛的穩定性及脫軌行為分析，至今已有相當數量的論文發表，就穩定性而言，大多數論文把輪軸與鐵軌的接觸力簡化為線性後，再討論車輛的Hunting行為，並未考慮垂向運動與非線性參數，不幸地，車輛的垂向運動與非線性參數卻是造成車輛脫軌的重要指標，所以對系統的穩定性具有相當程度的影響。在本論文中，主要將針對行駛於彎曲軌道上之車輛進行動態的穩定性及脫軌行為分析。探討穩定性上以Liapunov`s indirect method理論來分析系統臨界速度大小，並以數值積分法Runge-Kutta order four method驗證此分析結果的正確性。而在脫軌分析上則以Nadal’s判斷準則來求得車輛的脫軌係數。經由數值分析所得到的圖形，本文將討論轉向架之各個參數對臨界速度及脫軌係數之間的關係，藉此更加瞭解以及掌握軌道車輛的穩定性與安全性。

　　Many Papers about stability and derailment behavior analysis of railway vehicle have been presented up to now. For stability, after contact force between rail and wheel was simplified to linearity, the Hunting behavior of vehicle was discussed but not considered vertical motion and nonlinearities in most of papers. Unfortunately, vertical motion and nonlinearities of vehicle system are the important factors in derailment behavior, so it does affect stability of system very much. We will probe the running stability and derailment behavior of railway vehicle moving on curved tracks in this paper. In the discussion of stability, Liapunov’s indirect method theory was used to analyze critical speed of the system as well as Runge Kutta order four method was used to proof the correction of the result. In derailment analysis, Nadal’s criterion was used to get the derailment quotient of vehicle system. From the diagram of numerical analysis in this paper, critical speed and derailment quotient will be discussed about the relation to each parameter of truck, so as to realize the stability and safety of vehicle and get them in control.

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