自行車內變速器的傳動系統主要是利用行星齒輪系，針對脆弱的鏈條式變速系統而發展出的一套在任何棘手騎乘環境下都能完美運作且密閉性良好的變速器。近年來自行車內變速器漸漸朝多速方向發展，在內變速器檔位數的發展過程中，變速機構的構造組成由單一行星齒輪系演變至以多組行星齒輪系組成，且構造愈趨複雜。本文主要目的為以近年來所推出的多速內變速器產品之設計概念及共通特性發展一套有效的多速內變速器設計理論與方法，希望建立一系統化且有效的設計程序，以利多速內變速器的創新與發展。首先經由分析現有多速內變速器產品以歸納出多速內變速器之基本特性、限制與需求，作為多速內變速器設計之依據，並透過基本高、低變速模組的相互耦合聯結，有系統的建立內變速器的可用行星齒輪系構型目錄；其次針對可用行星齒輪系構型以符合變速器最佳性能表現的等比級數轉速比配置於各檔位以進行檔位合成，並確定其檔位作動順序表；接著依照設計需求中之最大外徑，藉由齒數與轉速比間之關係，依其檔位作動順序求出變速模組中各構件之齒數；最後，將上述之系統化設計程序，以最少的設計參數利用Visual Basic 6.0程式語言發展出一套易於操作的電腦輔助設計軟體提供設計者使用，俾利於多速內變速器的創新與開發。

The multi-speed internal gear hub of a bicycle is a well-closed gear shifting system that works perfectly under any challenging riding environment, and is developed specifically to improve fragile chain-drive derailleur using planetary gear trains. In recent years, bicycle internal hub gears have been developed toward multi-speed transmission, and in the development process of internal gear hubs, the structure of speed changing mechanism has changed from a single planetary gear train to multiple planetary gear trains, and is becoming more complex. The primary purpose of this Study aims to establish a systemized and efficient design process, and develop an effective theory and method for designing multiple-speed internal gear hubs with the design concept and common features of multiple-speed internal gear hub products developed in recent years, to favor the innovation and development of internal gear hubs. First, existing multiple speed internal hub products are analyzed and summarized for their basic features, limitations, and demands as the reference for the design of multiple speed internal gear hubs, and a catalog of usable planetary structures is systematically established with the coupling and connection of basic high and low ratio speed changing modules. Secondly, usable planetary structures that offer best performance of geometric progression speed ratio distribution of gear hub are matched with gear positions, and a table of gear sequence is confirmed; third, based on the maximum external diameter required by design, tooth numbers for every gear in a hub are defined according to the relationship between tooth number and speed ratio, as well as the gear sequences; and finally, the systematic design process above is applied to the development of an easy-to-use computer aided design software with the lowest possible number of variables using Visual Basic 6.0 for designers, in order to favor the innovation and development of internal gear hubs.

誌謝
目錄
圖目錄
表目錄
摘要
英文摘要
第一章 前言
1.1 文獻回顧
1.2 研究目的
1.3 全文架構
第二章 自行車多速內變速器
2.1 Sachs十二速內變速器
2.1.1 構造分析
2.1.2 運動分析
2.1.3 齒數及性能驗證
2.2 Bernhard Rohloff 十四速內變速器
2.2.1 構造分析
2.2.2 運動分析
2.2.3 齒數及性能驗證
2.3 Sturmey-Archer八速內變速器
2.3.1 構造分析
2.3.2 運動分析
2.3.3 齒數及性能驗證
2.4多速內變速器之比較
2.5行星齒輪系變速機構特性
2.5.1 多速內變速系統
2.5.2 行星齒輪系變速機構之變速控制
2.5.3 行星齒輪系之構造特性
2.6 轉速比與速級比
2.7 多速內變速器之特性
第三章 多速內變速器之設計
3.1 系統化設計程序
3.2 構造合成
3.3 離合器之配置
3.4 檔位合成
3.4.1 控制方式分析
3.4.2 決定檔位作動順序
3.5 轉速比值規劃及齒數合成
3.5.1 轉速比限制
3.5.2 轉速比值規劃
3.5.3 齒數合成
3.6 十六速變速機構之設計
第四章 傳動性能分析
4.1 運動分析
4.2 轉矩分析
4.3 功率流分析
第五章 電腦輔助系統化設計
5.1程式架構及流程
5.2 前處理器
5.3變速機構與檔位合成演算法則
5.4最大環齒輪限制齒數演算法則
5.5後處理器
5.6應用實例
第六章 結論與建議
參考文獻
自述

1. Hadland T., The Sturmey-Archer Story, 1987.
2. Schulz, H., and Schwerdhofer, H., 1974, "Multiple Speed Hub with Coaster Brake," U. S. Patent No. 3,809,195.
3. Schulz, H., 1976, "Multiple-Speed Hub," U. S. Patent No. 3,995,503.
4. Schulz, H., 1977, "Multiple Speed Hub with Coaster Brake," U. S. Patent No. 4,059,028.
5. Segawa, T., and Fukui, S., 1979, "Multi-Speed Transmission Hub," U. S. Patent No. 4,174,244.
6. Hanada, M., and Fukui, S., 1979, "Gear Transmission Control Device for Multiple-Speed Hub for Bicycles," U. S. Patent No. 4,179,953.
7. Steuer, W., 1983, "Drive Hub for Bicycles or the like," U. S. Patent No. 4,400,999.
8. Zach, W., and Giesau, A., 1988, "Geared Hub with Freewheel, Especially for Wheel Chairs," U. S. Patent No. 4,727,965.
9. Dougles, A., 1958, " Three Speed Planetary Transmission and Brake Mechanism for Bicycles," U. S. Patent No. 2,854,108.
10. Fox, L. H., 1969, "Epicyclic Change Speed Gear Hubs," U. S. Patent No. 3,433,097.
11. Shimano, K., and Segawa, T., 1970, " Three-Stage Speed Change Bicycle Hub with Built-in Automatic Speed Change Mechanism," U. S. Patent No. 3,492,893.
12. Schwerdhofer, H., 1974, "Multiple-Speed Hub," U. S. Patent No. 3,828,627.
13. Segawa, T., and Fukui, S., 1979, "Multi-Speed Transmission Hub for a Bicycle," U. S. Patent No. 4,147,243.
14. Hanada, M., and Fukui, S., 1979, "Gear Transmission Control Device for Multiple-Speed Hub for Bicycles," U. S. Patent No. 4,179,953.
15. Klauke, D., and Steuer, W., 1986, "Hub for a Two-Wheeled Vehicle," U. S. Patent No. 4,615,423.
16. Matsuo, N., and Okochi, H., 1999, "Internally Mounted Bicycle Transmission Using Roller Clutches, " U. S. Patent No. 5,964,679.
17. Uchiyama, Y., 2000, "Internal Bicycle Hub Transmission Having an Operating Unit Disposed Inboard of the Free End of an Axle," U. S. Patent No. 6,134,980.
18. Hino, T., 2001, "Bicycle Hub Transmission with a Mechanism for Stopping Rotation of One or More Sun Gears Relative to Another Member, " U. S. Patent No. 6,325,739.
19. Butz, H., 2004, "Multi-Speed Gear Hub Shiftable Under Load," U. S. Patent No. 6,692,400.
20. Hillyer, A. W., 1975, "Epicyclic Change Speed Hubs," U. S. Patent No. 3,886,811.
21. Bergles, E., 1987, "Multi-Speed Gear Hub for a Bicycle," U. S. Patent No. 4,651,853.
22. Steuer, W., and Bergles, E., 1988, "Multi-Speed Hub for Bicycles or the Like," U. S. Patent No. 4,721,013
23. Nagano, M., 1992, "Speed Change Hub and Braking Construction," U. S. Patent No. 5,078,664.
24. Rickels, S. T., 1998, "Epicyclic Change Speed Gear Hubs," U. S. Patent No. 5,813,937.
25. Keller, J., 2000, "Multi-Speed Drive Hub for a Bicycle," U. S. Patent No. 6,039,671.
26. Huang, Y. M., Chiang, J. P., Chen, C., and Wu, C. H., 1999, "Speed-Change Transmission Hub for a Bicycle," U. S. Patent No. 5,855,530.
27. Nagano, M., 1993, "Self-Contained Change Speed Apparatus for Use on a Bicycle and Having a Planetary Gear Mechanism," U. S. Patent No. 5,273,500.
28. Shoge, A., 1996, "Control System for a Working Apparatus for Use on a Bicycle," U. S. Patent No. 5,562,563.
29. Shoge, A., 1999, "Internally Mounted Bicycle Transmission," U. S. Patent No. 5,961,416.
30. Matsuo, N., 1999, "Motorized Shift Assist Control Apparatus for Bicycle Transmission," U. S. Patent No. 5,967,937.
31. Nurnberger, G., 1995, "Multi-Speed Drive Hub with a Separate Mounting Ring for the Planetary Gearset for Bicycles," U. S. Patent No. 5,399,128.
32. Nurnberger, G., 1995, "Bicycle and Bicycle with Multispeed Wheel Hub," U. S. Patent No. 5,443,279.
33. Nurnberger, G., 1995, "Multi-Speed Gear Hub," U. S. Patent No. 5,445,573.
34. Meier-Buckamp, G., 1996, "Multipeed Hub For A Bicycle", U. S. Patent No. 5,540456
35. Fichtel & Sachs AG, Schweinfurt, 1996, "Multi-Speed Hub for Bicycles," U. S. Patent No. 5,527,230.
36. Bernhard Rohloff, 2000, "Mulitspeed Bicycle Gear System," U. S. Patent No. 6,048,287.
37. Rickels & SRAM, 2001,"A Multi-Speed Hub Gear," WO 01/92094.
38. Freudenstein, F. and Yang, A. T., 1972, "Kinematics and Statics of a Coupled Spur-Gear Train , " Mechanism and Machine Theory, Vol. 7, pp.263-275.
39. Pennestri, E. and Freudenstein, F., 1993, "A System Approach to Power-Flow and Static-Force Analysis in Epicyclic Spur-Gear Trains, " ASME Proceeding: Cams, Gears, Robot and Mechanism Design, Chicago, Illinois, DE-Vol.26, pp.63-70.
40. Saggere, L. and Olson, D. G., 1992, "A Simplified Approach For Force and Power-Flow Analysis of Compound Epicyclic Spur-Gear Trains," ASME Proceedings: Advances in Design Automation, Scottsdale, Arizona, DE-Vol. 44-2, pp. 83-89.
41. Pennestri, E. and Freudenstein, F., 1993, "The Mechanical Efficiency of Epicylic Gear Trains, " ASME Journal of Mechanical Design, Vol. 115, pp.645-651.
42. 許正和，林建德，林玉龍，1993，系統化之行星齒輪系靜力矩與功率流分析，中國機械工程學會第十屆學術研討會，新竹市，台灣，第259-268頁。
43. Hsieh, H. I., and Tsai, L. W., 1996, "Kinematic Analysis of Epicyclic Type Transmission Mechanisms Using The Concept of Fundamental Geared Entities," ASME J. Mech. Des., Vol.118, pp. 294-299.
44. Hsu, C. H., 2002, "An Analysis Methodology for the Kinematic Synthesis of Epicyclic Gear Mechanisms," ASME Journal of Mechanical Design, 124, pp. 574-576.
45. Hsu, C. H., 1992, "An Application of Generalized Kinematic Chains to the Structural Synthesis of Nonfractionated Epicyclic Gear Trains," ASME Proceedings: Mechanical Design and Synthesis, De-Vol. 46, pp. 451-458.
46. Hsu, C. H., 1993, "A Graph Representation for the Structural Synthesis of Geared Kinematic Chains," Journal of the Franklin Institute, Vol. 330, No. 1, pp. 131-143.
47. Hsu, C. H., 1993, "Synthesis of Kinematic Structure of Planetary Gear Trains by Admissible Graph Method," Journal of the Franklin Institute, Vol. 330, No. 5, pp. 913-927.
48. Hsu, C. H., Lam, K. T., and Lin, Y. L., 1994, "Automatic Synthesis of Displacement Graphs of Planetary Gear Trains," Journal of Mathematical and Computer Modelling, Vol. 19, No. 11, pp. 67-81.
49. Hsu, C. H. and Hsu, J. J., 1997, "An Efficient Methodology for the Structural Synthesis of Geared Kinematic Chains," Mechanism and Machine Theory, Vol. 32, No. 8, pp. 957-973.
50. 許正和，吳益彰，1996，自行車三速內變速器之分析，機械工業雜誌，85年11月號，pp.205-211。
51. 吳益彰，自行車五速內變速機構之設計，國立中山大學機械工程研究所碩士論文，中華民國八十六年六月。
52. 鍾永鎮，自行車內變速器之設計，國立中山大學機械工程研究所碩士論文，中華民國八十八年六月。
53. 陳百俊，自行車多速內變速器之設計，國立中山大學機械工程研究所碩士論文，中華民國九十年六月。
54. 施博倫，自行車內變速器之設計方法研究，國立中山大學機械工程研究所碩士論文，中華民國九十二年六月。
55. 紀佑欣，自行車內變速器系統之創新設計，國立中山大學機械工程研究所碩士論文，中華民國九十一年六月。
56. 陳弘軒，自行車內變速器系統之電腦輔助設計，國立中山大學機械工程研究所碩士論文，中華民國九十四年六月。
57. Hsu, C. H., 1994, "Displacement Isomorphism of Planetary Gear Trains, " Mechanism and Machine Theory, Vol.29, No.4, pp.513-523.
58. Hsu, C. H., and Lin, Y. L., 1994, "Automatic Analysis of the Redundant Gears in Planetary Gear Trains," International Journal of Vehicle Design, Vol.15, No.5 , pp.402-415.
59. Hsu, C. H., Hsu, J. J., and Wu, Y. C., 1996, "An Efficient Method for the Representation of Planetary Gear Trains," Proceedings of the 13th National Conferences of the Chinese Society of Mechanical Engineers, Design, pp.41-46, Taipei, Taiwan.
60. 許正和，蘇俊忠，2006，自行車多速內變速器之分析，中國機械工程學會第二十三屆學術研討會，永康市，台灣，C1-007。