關於軌道車輛的穩定性分析，至今已有相當數量的論文發表，大多數論文探討車輛之懸吊系統對於車輛系統穩定性的影響，他們假設車體固定不動，即未考慮車體運動對於車輛穩定性的影響，一般而言，這樣的假設是相當不合理的。然而，車體的運動與轉向架之間的互制行為是考慮車輛是否穩定的重要指標。在本論文中，提出一種新的車輛系統模型，考慮半節車廂，完整地推導車體、轉向架與輪軸組之運動方程式，進而考慮車體運動行為對於整個車輛系統的影響，並針對行駛於彎曲軌道上之車輛系統進行動態的穩定性分析。探討穩定性上以Liapunov`s indirect method理論來分析系統臨界速度大小。經由數值分析所得到的圖形，本文將討論車輛懸吊系統各個參數對臨界速度的影響，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 analysis of railway vehicle have been presented up to now. It has been investigated that the influence of the vehicles suspension system about the stability of vehicle system in most of papers. These papers assume that the car body is fixed. It means that they don’t consider the influence of car body motion about the stability of vehicle. In general, such assumptions are very unreasonable. However, the interaction between the car body motion and truck motion is the important factor in stability behavior. In this paper, a new model of vehicle system will be presented. We consider a half railway carriage and completely derive the governing differential equations of motion for the car body, the truck and the wheelsets. Further we consider the influence of the car body motion about the vehicle system. We also probe the running stability behavior of railway vehicle moving on curved tracks. In the discussion of stability, Liapunov’s indirect method theory is used to analyze critical speed of the system. From the diagram of numerical analysis in this paper, the influence of each parameter of suspension system about critical speed will be discussed, so as to realize the stability and safety of vehicle and get them in control.

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