本文之主要研究目的為針對一新型變速機，探討其動態特性。該系統含一多排滾齒減速器，一組二段自動變速器及一直流馬達。本文先針對多排滾齒減速器，從運動分析，運動靜力分析到動態特性分析，建立完整的分析模式。再將其與二段自動變速器及馬達整合，模擬及探討各檔及換擋時整體動態特性。
在多排滾齒減速器運動分析方面，利用等效四連桿配合運動係數法分析之。接著利用彈性變形之觀念，推導各元件間之受力與扭矩的關係式，且分別於不考慮摩擦與考慮摩擦作用之情況下根據d`Alembert原理進行運動靜力分析，並以功率方程式與運動靜力分析所得之輸入扭矩印證其結果之正確性。同時提出僅考慮摩擦影響而較適用於一般機構的效率方程式，並提出一多齒接觸運動靜力分析之模式，以進行多對環輪滾柱與行星輪滾柱接觸時的負荷分析，以瞭解減速器的傳動效率乃至於探討多齒接觸的條件下對減速器特性之影響。在動態特性分析方面，將馬達與減速器之分析模式整合，可分別由動態負荷分析模式及靜態負荷分析模式得到整個系統的動態特性。在整合二段自動變速器及多排滾齒減速器的動態分析方面，首先建立自動變速器之動態分析模式，再與馬達及多排滾齒減速器整合，建立其整體的動態特性分析模式，可據以得到整個系統在二種分析模式下的動態特性。
本文完整的針對多排滾齒減速器及二段自動變速器建立相關的分析模式並與直流馬達加以整合，其結果有助於研發相關類型之減速器及變速器等之傳動系統。

The main purpose of this study is the dynamic analysis of an automatic transmission, which includes a multi-layer roller drive (reducer), a two-speed automatic transmission and a dc motor. Firstly the models for analyzing the kinematics, kinetostatics and dynamics of the multi-layer roller drives are developed. Secondly, these models are integrated with those of the two-speed automatic transmission and the dc motor to simulate and analyze the characteristics of the transmission.
For the analysis of the roller drive, firstly, the concept of equivalent four-bar linkage is applied to develop the model of kinematic analysis; secondly, d`Alembert theorem is used to build the model of kinetostatic analysis with considering the friction. Another kinetostatic analysis considering multi-roller contact is proposed. Furthermore a better model for evaluating the efficiency of the drives with variable kinetic energy is also proposed. Thirdly, the equations of motion of the drive and the dc motor are integrated for the dynamic analysis. Examples are included to demonstrate the usage and the results of using the proposed models.
In addition, the equations of motion of the roller drive, the two-speed automatic transmission, and the dc motor are integrated to simulate the characteristics of an electrical motorcycle with this transmission. An example is included to show the driving characteristics of the motorcycle under a combination of various loads.
The models developed and the results of this study are believed to be helpful for the research and development of the speed reducers and transmissions.

Botsiber, D. W., and Kingston, L., 1956, "Cycloid Speed Reducer," Machine Design, pp. 65-69.
Chen, J.-L., Tseng, C.-H., and Tsay, C.-B., 1999, "Tooth Contact Analysis of the Involute Spur Planetary Gear Train," Journal of the Chinese Society of Mechanical Engineers, Vol. 20, No. 4, pp. 317-324.
Fogarasy, A. A., 1995, "A New Simplified Approach to the Kinematic Analysis and Design of Epicyclic Gearboxes," IMechE, Journal of Mechanical Engineering Science, Vol. 209, pp. 68-77.
Forster, H. J., 1967, "On the Efficiency of Epicyclic Gears, "JSME Semi-International Symposium, Tokyo.
Freudenstein, F., and Yang, A. T., 1972, "Kinematics and Statics of a Coupled Epicyclic Spur-Gear Train," Mechanism and Machine Theory, Vol. 7, No. 2, pp. 263-275.
Fielder, R., and Sturat, E., 1973, Numerical Analysis, McGraw-Hill, New York., U.S.A.
Fujita, H., Akashi, T., Wakayama, H., and Funyu, O., 1991," Development of Automatic Center Stand System for Motorcycle," 1991 Small Engine Technology Conference Proceedings, Tokyo, Oct 1991, pp. 355-361
Hall, A. S., Jr., 1981, Mechanism Analysis, BALT Publishers, Lafayette, Indian, U.S.A..
Hong, C.-W., 1996, "Dynamic Simulation of Road Vehicle Performance under Transient Accelerating Conditions," IMechE, Journal of Automobile Enngineer, Vol. 210, pp. 11-21.
Hsieh, L.-C., Yan, H.-S., and Wu, L.-I., 1989, "An Algorithm for the Automatic Kinematic Analysis of Planetary Gear Trains by Fundamental Circuit Method," Journal of the Chinese Society of Mechanical Engineers, Vol. 10, No. 2, pp. 153-158.
Hsu, C.-H., and Lam, K.-T., 1989, "A New Graph Representation for the Automatic Kinematic Analysis of Planetary Spur-Gear Trains," ASME Transactions, Journal of Mechanical Design, Vol. 114, No. 1, pp. 196-200.
Innocenti, C., 1996, "A Framework for Efficiency Evaluation of Multi-Degree-of Freedom Gear Trains," ASME Transactions, Journal of Mechanical Design, Vol. 118, pp. 556-560.
Ishibashi, A., Sonoda, K., and Isami, S., 1996, "Theoretical Efficiencies of Planetary Gear Drives for Speed Increase and Reduction with Experimental Verification," Power Transmission and Gearing Conference, ASME, DE-Vol. 88, pp. 397-404.
Ko, C. C., 1995, "Speed Reducer which Employs Rolling Means," US Patent, No. 5431605, July 11.
Krause, P. C., 1987, Analysis of Electric Machinery, McGraw-Hill, New York, chap. 14.
Krstich A. M., 1987, "Determination of the General Equation of the Gear Efficiency of Planetary Gear Trains," International Journal of Vehicle Design, Vol. 8, No. 3, pp. 365-374.
Liou, F. W., Erdman, A. G., and Lin, C. S., 1991, "Dynamic Analysis of a Motor-Gear-Mechanism System," Mechanism and Machine Theory, Vol. 26, No. 3, pp. 239-252.
Liu, C. T., Lin, B. M., and Pan, J. S., 1996, "Design and Development of a Zero-Emission Scooter for Taiwan," Journal of Power Sources, Vol. 59. No. 1-2, pp. 185-187.
Machida, H., and Ichihara, Y., 1990, "Traction Drive CVT for Motorcycle," Proceedings - Society of Automotive Engineers, Torino, May 7-11 1990, pp. 663-670
Macmillan, R. H., 1949, "Epicyclic Gear Efficiencies," The Engineer, pp. 727-728.
Macmillan, R. H., 1961, "Power Flow and Loss in Differential Mechanisms," IMechE, Journal of Mechanical Engineering Science, Vol. 3, No. 1, pp. 37-41.
Macmillan, R. H. and Davis, P. B., 1965, "Analytical Study of Systems for Bifurcated Power Transmission," IMechE, Journal of Mechanical Engineering Science, Vol. 7, No. 1, pp. 40-47.
Malhotra, S. K., and Parameswaran, M. A., 1983, "Analysis of a Cycloid Speed Reducer," Mechanism and Machine Theory, Vol. 18, No. 6, pp. 491-499.
Paul, B., 1979, Kinematics and Dynamics of Planar Machinery, Prentice Hall, Englewood Cliffs, N. J.
Pennestri, E. and Freudenstein, F., 1993, "A Systematic Approach to Power-Flow and Static-Force Analysis in Epicyclic Spur-Gear Trains," ASME Transactions, Journal of Mechanical Design, Vol. 115, pp. 639-644.
Saggere, L. and Olson, D. G., 1992, "A Simplified Approach for Force and Power-Flow Analysis of Compound Epicyclic Gear Trains," ASME Proceedings, Advances in Design Automation, DE-Vol. 44-2, pp. 83-89.
Sanger, D, J., 1972, "The Determination of Power Flow in Multiple-Path Transmission Systems," Mechanism and Machine Theory, Vol. 7, No. 1, pp. 103-109.
Sheu, K.-B., Hsieh, L.-C., and Yan, H.-S., 1996, "Conceptual Design of Hybrid Transmissions for Motorcycle Applications," International Journal of Vehicle Design, Vol. 17. No. 4, pp. 430-448.
Tao, J., and Sadler, J. P., 1995, "Constant Speed Control of a Motor Driven Mechanism System," Mechanism and Machine Theory, Vol. 30, No. 5, pp. 737-748.
Tsai, L.-W., 1985, "An Algorithm for the Kinematic Analysis of Epicyclic Gear Trains," Proceedings of the 9th Applied Mechanisms Conference, Kansas City, Missouri, Vol. 1, pp. 1-5.
Uematsu, S., 1996, "Application of Graph Theory to the Kinematic Analysis of Planetary Gear Trains," Journal of the Japan Society for Precision Engineering, Vol. 62, No. 11, pp. 1582-1586.
White, G., 1970, "Multiple Stage, Split-Power Transmission," Journal of Mechanisms, Vol. 5, No. 4, pp. 505-520.
White, G., 1976, "Compounded Two-Path Variable Ratio Transmissions with Coaxial Gear Trains," Mechanism and Machine Theory, Vol. 11, No. 3, pp. 227-240.
White, G., 1977, "A Two-Path Variable-Ratio Transmission with an Extended Range of Ratios," ASME Transactions, Journal of Engineering for Industry, Vol. 99, No. 3-4, pp. 656-661.
Yan, H.-S., and Hsieh, L.-C., 1990, "On the Mechanical Efficiency of Continuously Variable Transmissions with Planetary Gear Trains," International Journal of Vehicle Design, Vol. 11, No. 2, pp. 176-187.
Yan, H.-S., and Hsieh, L.-C., 1991, "Kinematic Analysis of General Planetary Gear Trains," Proceedings of 8th World Congress on the Theory of Machines and Mechanisms, Vol. 6, Prague, Czechoslovakia, pp. 153-157.
Yan, H.-S., and Lai, T.-S., 2000, "Characteristics and Mechanical Efficiency of Roladrives," Transactions of the Canadian Society for Mechanical Engineering, Vol. 24, No. 3-4, pp. 441-452.
Yang, D. C. H., and Blanche, J. G., 1990, "Design and Application Guidelines for Cycloid Drives with Maching Tolerances," Mechanism and Machine Theory, Vol. 25, pp. 487-501.
Yu, D. and Beachley, N., 1985, "On the Mechanical Efficiency of Differential Gearing," ASME Transactions, Journal of Mechanisms, Transmissions, and Automation in Design, Vol. 107, pp. 61-67.
工業技術研究院機械工業研究所，1991，機車動力系統設計技術手冊，新竹，台灣。
王正為，張廣軍，1993，"圓弧針齒少齒差傳動嚙合效率分析"，機械設計，No. 2，第18～22頁。
李充寧，周有強，1993，"圓弧齒行星減速器的效率計算"，機械設計，No. 4，第21～23頁。
林展聖，2000，"並聯式混成動力機車傳動機構系統與其動態性能之研究"，碩士論文，大葉大學機械工程研究所，彰化，台灣。
林學成，1997，"機車二速及三速自動變速器之設計與分析的研究"，碩士論文，國立成功大學機械工程學系，台南，台灣。
柯宏坤，1995，"電動機車二檔式自動變速系統的設計及分析"，碩士論文，國立清華大學動力機械研究所，新竹，台灣。
柯重成，1991，"滾齒減速機"，中華民國170756號專利。
柯重成，1998，"滾柱波動傳動裝置"，中華民國325511號專利。
徐灝等編，1995，機械設計手冊，第三冊，建宏出版社，台北，台灣，第24-92～24-121頁。
張振福，2000，"擺線減速器與滾齒減速器之曲面設計及運動靜力分析的研究"，碩士論文，國立成功大學機械工程學系，台南，台灣。
張琬婷，2001，"新型滾柱減速機之幾何設計"，碩士論文，國立成功大學機械工程學系，台南，台灣。
劉繼岩，馬雲濟，宋天豹，劉榮欣，1991，"曲柄式擺線減速機傳動效率分析"，機械設計，No. 1，第27～29頁。