本論文將以輕軌車之三節車廂建立理論模型，且針對全車輛以多剛體動力理論進行動態分析，並考慮文獻中不常探討之滾動運動。本車輛之動態分析，係以軌道高低不整作為車輛產生振動的來源，且將軌道不整的輸入分為步階函數、簡諧波型與軌道檢測數據三種形式。
本文之研究可分為時域及頻域下之行為模式，文中運用Lagrange Equation推導理論模型之運動方程式，並以四階Runge-Kutta數值法求得運動方程式每一時刻下響應之數值解，而後以快速Fourier轉換法（FFT）求得到系統響應之頻域解，並針對文獻中少有提到之能量頻譜做探討。
本研究方法將可便於軌道車輛設計者，在無須以實車測試之下，經由模擬便可得到近似實際軌道車輛之響應情形，而所獲得之結果將可成為車輛設計重要之參考依據。

The contribution of this study is to establish theoretical models in a three-car train of light rail vehicle. Using multi-body dynamics analytic theories of the full car and considers the rolling movement which is seldom touched upon in literature. The dynamic analysis of cars employs the longitudinal irregularities of track as the source of vibration. The entry of track irregularities is divided into 3 ways: step response, harmonic wave and track measurement.
The paper uses the actual track measurement data as the analytic entries, The study is divided into the behavioral modes under time domain and frequency domain solution. By using Lagrange Equation, the movement equation of the theoretical model is inferred; and by using 4-order Runge-Kutta numerical method, the numerical solution supported by movement equation at each moment is acquired. After that, by using fast Fourier transform function, the frequency-domain solution supported by the system is also acquired. Besides, this paper investigates the Power Spectral Density which is less discussed in the literature.
This research method is referential to the designers of rail vehicle, so that they can simulate the response of practical tracked car without actually hold the trial test. Besides, the result obtained from this study is an important referential data for the rail vehicle design.

【1】 王栢村, ”陸地車輛動態行駛品質分析”,永達學報 vol.1 ,n1,pp1-22,(2000)
【2】 Cooperrider, N.K. and Law, E.H., ”A Survey of Railway Vehicle Dynamics Research” Journal of Dynamic Systems Measurement, and Control, ASME, pp. 132-146, (1974)
【3】Cox, J.J., Hedrick, J.K., and Cooperrider,N.K., ”Optimization Rail Vehicle Operating Speed With Practical Constraints ”, Journal of Dynamic Systems Measurement, and Control, ASME, Vol.100, pp. 260-269, (1978)
【4】Kenneth P. Kramp, ”The Analysis and Creation of Track Irregularities Using TRAKVU ”,Master Thesis of Virginia Polytechnic Institute and State University,(1998)
【5】Vijay K. Garg & Rao V. Dukkipati ,”Dynamics Of Railway Vehicle System”, Academic Press, New York ,(1984)
【6】Goodman, C. J., L. K. Siu, T. K. Ho, ”A Review Of Simulation Models for Railway System”,International Conference Publication No.543,London, UK, pp.80-85, (1998)
【7】Diana,G., Cheli, F., Bruni, S. and Collina, A., ”Dynamic Interaction Between Rail Vehicles and Track for High Speed Train”,Vehicle System Dynamics,Vol.24,Suppl.,pp.15-30, (1995)
【8】ElMadany, M. M., and Dokainish, M. A., ”Articulated Vehicle Dynamic Analysis Using Equivalent Linearization Technique”, SAE Transaction, Vol. 89, Report 801421, pp.4506-4517, (1980)
【9】Ahmed, A. K., Rakheja, W. S., and Richard, M, J., ”Frequency Response Analysis of Symmetric and Asymmetric Nonlinear Vehicle Suspension ” Transactions of the CSME, Vol.17, No.46, pp.837-850, (1993)
【10】W. M. Zhai, C. B. Cai and S. Z. Guo, ”Coupling Model of Vertical and Lateral Vehicle/Track Interaction”, Vehicle System Dynamics,Vol.26,pp.61-79,(1996)
【11】王聲榕、謝念中,”輕軌車動態模擬分析”，中山科學研究院第二研究所,(1999)
【12】張介謙”分析軌道(1067公厘軌距)不整對行車安全之影響”,國立成功大學土木工程所碩士論文,(2004)
【13】陳家暉，”軌道車輛過彎動態響應分析”,碩士論文,國立中正大學機械工程研究所,(2001)
【14】蔡皓晟,”輕軌車動態行為分析”,碩士論文,國立台灣科技大學工程技術研究所,(2001)
【15】謝念中，張欽宗，金麟聖，許覺良,”臺灣輕軌二代車懸吊系統之最佳化設計”,機械月刊, no.343, pp.90-107,(2004)
【16】翟婉明,“車輛-軌道耦合動力學”,中國軌道出版社,(1997)
【17】 王平、万复光,”鐵路軌道橫向不平順區輪軌動力響應的研究”,鐵道學報,Nol.19,N1,pp108-113,(1997)
【18】You-Min Huang & Tsung- Shou Wang, ”Dynamic Behavior of Two Axle Bogie Design with Respect to Wheel Load Reduction”, Journal of the Chinese Society of Mechanical Engineering Vol.21,No.2,pp.201-207,(2000)
【19】Y. Q. Sun, M. Dhanasekar, ”A dynamic model for the vertical interaction of the rail track and wagon system ”International Journal of Solids and Structures 39, pp.1337-1359,(2002)
【20】陳坤霖、黃佑民、王總守,”電聯車車輪對軌道力學互動之探,機械月刊,Nol.22,N7,(1996)
【21】軌道監測車擷取資訊及資料處理系統研製,交通部高速鐵路工程局,(2001)
【22】黃民仁,鐵路工程學,文笙書局 ,初版,台灣,(1993)
【23】J. Y. Wang, ”Theory of ground vehicle”,2ndEd,John Wiley & Sons,(1993)
【24】ISO,”Guide for the Evaluation of Human Exposure to Whole-Body Vibration”2ndEd,International Standard 2631-1978(E),international Organization for Standardization,(1978)
【25】Iso,Iso2631-1.2:Mechanical Vibration and Shock-Evaluation of Human Exposure to Whole Body Vibrations,ISO,(1997)
【26】謝念中，陳慧美 ,”輪軌滾動接觸問題介紹”軌道車輛工業資訊 PP.7-11,(1998)
【27】Atam P. Arya, ”Introduction to Classical Mechanics ”,Prentice Hall International , Second Edition, New Jersey，(1998)