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Hunting Stability Analysis of Tilting Railway Vehicles

擺式列車蛇行穩定性分析

摘要


本文利用非線性黏滯潛滑理論推導於曲線軌道運動之擺式列車的運動方程式。考慮單一輪軸組的側向位移、垂向位移、翻滾角和搖擺角,以及轉向架框架和車體的側向位移、垂向位移、翻滾角、點頭角和搖擺角,建立31個自由度的擺式列車系統模型。藉由極限例以及與現有文獻的數值比較驗證本文分析的正確性。本文忽略輪軸組的垂向位移,以及轉向架框架和車體的點頭角,建立24個自由度的擺式列車系統模型。探討在各種傾擺角度之下,不同軌道半徑對於臨界蛇行速度的關係,並且分析比較在各種傾擺角度之下,各懸吊參數對於臨界蛇行速度的效應。由分析結果可知,隨著傾擺角度的增加,使用較小超高角所求得之臨界蛇行速度增加量,會高於使用較大超高角所求的之臨界蛇行速度增加量,而且具有傾擺角的列車之臨界蛇行速度也會高於無傾擺角的列車之臨界速度。

關鍵字

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並列摘要


Using the heuristic nonlinear creep model, this paper derives the governing differential equations of motion for a tilting railway vehicle moving on curved tracks. The tilting railway vehicle dynamics are modeled using a 31-degree-of-freedom (31-DOF) system, which takes account of the lateral displacement, vertical displacement, roll angle and yaw angle of each wheelset, the lateral displacement, vertical displacement, roll angle, pitch angle and yaw angle of the truck frames, and the car body. To analyze the respective effects of the major system parameters on the vehicle dynamics, the 31-DOF tilting system is reduced to a 24-DOF tilting model, by excluding designated subsets of the system parameters. The effects of radius of curved tracks on the critical hunting speed with respect to various tilting angles are illustrated. In addition, the effects of suspension parameters on the critical hunting speed with respect to various tilting angles are presented and compared. In general, the results obtained in this study show that with increase in tilting angle, the increments of critical hunting speed evaluated using the smaller superelevation angle are greater than those evaluated using the larger superelevation angle. Furthermore, the critical hunting speed derived using the tilting vehicle model is generally higher than that evaluated using the non-tilting vehicle model.

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