歷年來有關軌道車輛的穩定性及脫軌行為分析之研究已有相當的數量，在穩定性方面所探討的以車輛的hunting行為為主，所以大多的文獻僅考慮到車輛系統的側向及搖擺方向之運動，然而系統的垂向運動是造成車輛脫軌的重要因素之一，所以對穩定性而言也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及輪重減載率判斷準則來求得車輛的脫軌係數。經由得到的結果，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。

The stability and derailment behavior analysis of railway vehicle system has been discussed by many papers in the past. In stability, give first place to consider hunting behavior of vehicle, therefore most of papers was only consider lateral and yaw motion, but vertical motion is the important factor in derailment behavior, and it will be quite effect in stability. We will probe the running stability and derailment behavior of railway vehicle moving on curved tracks in this paper, used Liapunov`s indirect method theory to analysis critical speed of the system in stability and used Runge Kutta order four method to proof the correctly of result. In derailment analysis, we used Nadal’s formular and wheel on loading principle to got the derailment quotient. From the analysis result, we discuss the relation between each parameter of bogie to critical speed and derailment quotient. by the way, we can more understand and control the stability and safety of vehicle.

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