自1937年全世界第一顆由Buick與Oldsmobile汽車公司所量產的行星齒輪式自動變速器上市以來，行星齒輪式自動變速器之相關研究就不曾停歇；在自動變速器具體化設計方面，以槓桿比例法為基礎的圖解設計方法已發展相當成熟，其流程清楚且簡單易懂，設計結果也能符合需求。由於設計過程中會產生相當數量的組合，並且需要逐一判斷是否為可行解，此部分工作雖易但以人工進行卻曠日廢時，尤其在八速以上自動變速器的設計裡組合數量更龐大，使得人工處理變得更加困難；因此發展電腦輔助設計程式，將設計方法中的計算與試誤過程交由電腦運算處理並輔助設計有其必要性。本研究主要目的為開發一套並排式行星齒輪汽車自動變速器之輔助設計程式，以圖論為數學工具，並以槓桿比例法理論為基礎，利用Microsoft Visual Studio 2005程式語言建立一套簡單易用極具親和力的電腦程式，為分析與合成並排式行星齒輪式自動變速器時的有力工具。首先根據槓桿比例圖畫表示法，建立一套槓桿圖前處理器，採用當前常用的視窗為基礎，提供使用者一個易學易用的介面，可簡潔且明確地輸入所需轉速比數量，以及對應的轉速比。由給定之轉速比數量，列出所有可能之槓桿比例圖，根據前處理器矩陣，利用動態連結功能引用Matlab軟體所建立之函式庫檔案求解反矩陣，計算出各檔位轉速比，其次藉由列舉比例數線，合成行星齒輪式變速機構，以及計算各個基本行星齒輪機構單元之齒數，並以數碼為基礎，判認離合器與制動器配置之可行性，經由縮圖判認刪除變速機構內部基本齒輪機構單元交錯的構型，得到確實可行的變速器並輸出資料。最後將本程式應用於十速並排式自動變速的設計上，由4368種組合篩選出34顆可行之自動變速器。本研究的成果為工程人員提供一有力工具，並有利於多速並排式自動變速器的設計工作。

Since 1937, the world’s first epicyclic-type automatic transmission has been production by Buick and Oldsmobile, the reserch of epicyclic-type automatic transmission were never stopped. The design method of automatic tramsmission by lever analogy diagram has been developed, the procedure is clear and easy to understand, and the resut always accords with design requirements. But durning the procedure will generate plenty of combinations, and needs to be judged idividually. The work of judge is easy but its waste time, especially more then eight speed, it’s become harder to handle by human. To construct a computer-aided design program is necessary to deal with it. The purpose of this research is to develop a computer program, written in Microsoft Visual Studio 2005 programming language, for the analysis and synthesis of parallel-connected epicyclic automatic transmissions of automobiles, based on the theory of lever diagram, and use graph theory as mathematical tools.First, a friendly graphic-based preprocessor is developed to provide a graphic user interface which users can input speed ratio concisely. According to the graphic-based preprocessor, we can establish all of the possible lever analogy diagram and relative matrix. Used dynamic fuction link to the library which export by Matlab software to solve inverse matrix and get each clutch sequence’s speed ratio. Second, we can construct epicyclic-type transmission mechanism by the proportion lines, calculate the number of teeth of each epicyclic gear mechanism, and judged the feasibility of configure clutches and breakes. Finally, we can remove the mechanism which fundamental gear entity staggered with each other, and get feasible transmissions. Finally we find 34 ten speed parallel-connected automatic transmissions from the 4368 possible combinations by the program. The computer program provides engineers a powerful tool for design multi-speed parallel-connected epicyclic-type automatic transmissions.

中文摘要……………………………………………………................i
英文摘要………………………………………………......................ii
目錄………….………………………………………………………….iii
圖目錄………………………………………………………………..…vi
表目錄…………………………………………………………….…...xiii
第一章　前言………………………………………………....……...…1
1-1　文獻回顧………………………………......…….........…….1
1-2 研究動機與目的……………………………………..….…….5
1-3 論文架構……………………………………………...……….6
第二章　基本概念………………………………………………....……7
2-1 並排式行星齒輪汽車自動變速器………….........….…....7
2-2 並排式自動變速器之檔位分析……….……..........…..….8
2.3 槓桿比例圖解法…………………………………....……..11
2-3-1　槓桿比例法基本原理…………………………….…….11
2-3-2 並排式自動變速器之槓桿比例圖解法………..…..14
2-4 並排式自動變速器之基本規格…………………………..16
2-5　並排式自動變速器設計程序……………………………….22
2-6　結語…………………………………………………...........30
第三章　設計程序之合理化…………………………………………..31
3-1　前處理器之合理化………………………………………….31
3-2　建構可行之自動變速器…………………………………….43
3-3　後處理器…………………………………………………….54
3-4 結語…………………………………………………………...56
第四章　設計程序之演算法則………………………………………..57
4-1　並排式自動變速器電腦輔助設計程式之流程…………….57
4-2　前處理器…………………………………………………….58
4-3　資料運算處理............................................................83
4-4　後處理器………………………....................…………...111
4-5　結語………………..............................................……114
第五章　並排式自動變速器之電腦輔助設計………………....……115
5-1　八速並排式自動變速器之電腦輔助設計………………...115
5-2　十速並排式自動變速器之電腦輔助設計………………...123
5-3　結語…………………………………………………...…...126
第六章　結論與建議…………………………………………………127
參考文獻………………………………………………………….......129

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