臺灣博碩士論文加值系統

本文建立軌道車輛的過彎數學模型，研究車輛行駛在不同曲率半徑的軌道上所產生的動態響應情形。本模型以一全車體及二轉向架來模擬，並由車廂、轉向架與輪軸組等部分所組成，含有十五個自由度，車輛以等速行駛在曲線軌道上，車輪與軌道間之正向接觸力使用Kalker線性接觸理論，文中將以牛頓第二運動定律推導系統的運動方程式，利用Runge-Kutta法分別求解及討論系統的動態響應。
由於軌道車輛過彎時產生的晃動，是一種不穩定的振動，而且懸吊系統特性和路線曲率是影響穩定的重要因素。所以吾人建立軌道車輛過彎的數學模型後，改變懸吊系統及路線曲率的參數，並考慮輪軌間作用力的影響，以電腦數值模擬的方法對車輛動態特性作一探討研究。把所得數據分析討論，比較不同參數下的穩定性差異，作為將來車輛設計分析及路線設計之參考。

A mathematical model for rail vehicle eveloped to investigate its dynamic response on different curve track. The model consists of a vehicle and two bogies which include, carbody, bogie, and wheelsets. The model represents as a system of 15 degrees of freedom, which runs on the curve track with a constant velocity. The normal contact forces between wheel and rail are described by Kalker’s Linear Theory. In this study, The equation of motion of the system are derived by The Neton’s senond principle and then we used the Runge-Kutta Method to find the solutions and discussed the system of dynamic response.
The occurrence of shake which is due to vehicle rail vehicle negotiates curve is unstable vibration. The suspension system and line curvature are the important factor which affect steady. We use the mathematical model which rail vehicle negotiate curve to change the parameters of suspension system and line curvature and consider the influence of Wheel-rail forces and moments . Using the method with computer numerical simulation probes into the characteristic of vehicle dynamic .In order to regard as reference for vehicle design and line design ,we discuss and analysis the data that we obtained, and compare steady difference under the different parameters .

第一章、緒論…………………………………………1
1.1、前言………………………………………………………1
1.2、文獻回顧………………………………………...…….3
1.3、研究目的與方向…………………………………………5
第二章、模式分析…………………………………..8
2.1、前言………………………….…………………………8
2.2、過彎動態分類………………….………………………8
2.3、過彎模型的模式…………….…………………………9
2.4、Kalk’s線性理論………….………………………….10
2.5、動態響應模式……….……………………………….12
第三章、軌道車輛過彎模型………………….15
3.1、前言………………………….……………………….15
3.2、單一車輛的轉彎模型…………………………………15
3.3、模型假設與限制…..……….……………………….16
3.4、單一車輛過彎運動方程式……………….………….16
3.4.1、轉向架運動座標關係式…………………………17
3.4.2、運動方程式……………….…………...………19
第四章、數值結果與討論………………………….32
4.1、前言………………………….……………………….32
4.2、不同車速下窄軌與寬軌車輛的動態響應情形…….32
第五章、結論與未來展望………………………….52
5.1、結論………………………….……………………….52
5.2、未來展望……………………………………………..52
參考文獻…………………………………………….54
附錄………………………………………………….56

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