臺灣博碩士論文加值系統

自行車的傳動系統由前鏈盤、後飛輪、兩個導輪及鏈條組成，在換檔時，變速器的好壞及後飛輪的齒型修整皆會影響上鏈順暢度。目前並無針對前鏈盤形狀為非圓形時進行後飛輪齒型的研究，當前鏈盤的形狀由圓形更換為非圓形，並維持恆定轉速，傳動系統的速度及負荷將會週期性的產生變化，因此在相同騎乘條件下，將前鏈盤由圓形更改為非圓形以進行後飛輪上鏈，需要更嚴謹的齒型修整。本文依鏈節間的自由度計算上鏈路徑，且將JIS制U型齒中底部尺寸放大，使齒型縮小增加上鏈容錯率，在SolidWorks中將鏈節與未切齒後飛輪結合，再將換鏈時的干涉區域切除作為齒型修整的基礎。本研究透過RecurDyn動態模擬分析，將36齒圓形前鏈盤配合依上鏈路徑切齒、只做導角處理及未切齒後飛輪做上鏈模擬，結果顯示依上鏈路徑切齒後飛輪在一開始即嚙合完畢並成功上鏈，其餘的上鏈過程有弓形區域及跳齒現象發生。相同的邊界條件，將前鏈盤更換為23(橢)+18(圓)齒的非圓形鏈盤，配合前述依上鏈路徑切齒之後飛輪，結果顯示在每一切線角度皆能順利上鏈。若市面上的自行車同樣在鏈節接觸目標鏈輪後能迅速準確的嚙合，說明可直接使用非圓形鏈盤，無須更換其他傳動系統元件，有助於推廣非圓形鏈盤的應用。

The bicycle's transmission system consists of a front chainring, rear cassette, two pulleys, and chain. Shifting performance is influenced by the condition of the derailleur and the rear cassette tooth profile. Currently, there is no research on the tooth profile of the rear cassette when the front chainring shape is non-circular. Converting from circular to non-circular shapes while maintaining a constant speed introduces periodic variations in system speed and load. Therefore, precise tooth profile adjustments are necessary when switching from circular to non-circular chainrings for rear cassette engagement. This study calculated the chain path based on the degrees of freedom between chain links, and enlarged the bottom dimensions of JIS standard U-shaped teeth to reduce the tooth profile size and increase the tolerance for chain engagement. In SolidWorks, the chain links were integrated with the uncut rear cassette, and the interfering regions during chain shifting were removed to establish the foundation for tooth profile refinement. RecurDyn dynamic simulations were performed with a 36-tooth circular front chainring using three rear cassette treatments: cut teeth along the chain path, chamfering at rear cassette, and uncut rear cassette. Results showed successful immediate engagement with the cut teeth rear cassette, while the other treatments experienced arch-shaped regions and skipping teeth during engagement. Under the same boundary conditions, replacing the front chainring with a non-circular chainring of 23 (oval) + 18 (round) teeth, in conjunction with the previously mentioned tooth-profiled modified rear cassette, demonstrated successful chain engagement at all tangent angles. The findings demonstrate the direct adoption of non-circular chainrings in existing bicycles without the need for other transmission system component changes, thereby promoting the application of non-circular chainrings.

摘要....................................i
Abstract...............................ii
誌謝...................................iii
目錄...................................iv
表目錄.................................vii
圖目錄.................................viii
符號說明...............................xii
第一章 緒論.............................1
1.1 前言................................1
1.2 研究動機............................1
1.3 文獻探討............................2
1.4 論文架構............................3
第二章 自行車傳動系統....................4
2.1 鏈條與鏈輪..........................4
2.1.1 鏈條.............................4
2.1.2 鏈輪.............................6
2.2 軟體介紹............................8
2.2.1 Mathematica......................8
2.2.2 SolidWorks.......................9
2.2.3 RecurDyn.........................9
2.3 鏈條的自由度........................9
2.3.1 襯套與銷柱偏移之偏轉角關係..........12
2.3.2 襯套與銷柱偏移之扭轉角關係..........14
2.3.3 鏈條扭轉與側偏能力.................15
2.4 上鏈路徑計算........................18
第三章 模型繪製與設定....................25
3.1 非圓形前鏈盤........................25
3.2 後飛輪齒型設計......................31
3.3 模擬設定...........................36
3.3.1 邊界條件.........................36
3.3.2 輸入條件.........................39
第四章 模擬結果.........................43
4.1 非圓形前鏈盤.......................43
4.2 模擬分析...........................44
4.2.1 圓形前鏈盤之三種後飛輪上鏈情形......44
4.2.2 前鏈盤為非圓形之上鏈模擬...........50
第五章 結論與未來展望....................52
5.1 結論...............................52
5.2 未來展望............................53
參考文獻................................54
Extended Abstract......................56

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