本文主要研究曲齒聯軸器加工磨輪對齒形接觸的影響，首先應用座標轉換方法，求取凹、凸齒齒形輪廓方程式，再加入磨輪之安裝誤差與外型設定誤差，求取具誤差參數之齒形輪廓方程式。然後透過最佳化設計方法，計算出在良好齒形接觸模式下之最佳磨輪設定參數；並分析各參數對磨輪外型與接觸位置之影響，其中以凹齒磨輪半徑與凸齒磨輪半徑對接觸面積的影響，以及凹齒磨輪中心距與凸齒磨輪中心距對接觸位置影響最大。本文最後利用Visual Basic程式語言撰寫最佳化磨輪計算程式，以輔助計算在具有各安裝誤差狀況下之最佳磨輪外型及安裝設定參數。

The objective of this study is to investigate the influences of the shape of grinding wheel to the teeth profile and the contact pattern of Curvic couplings. Firstly, the equations of concave and convex teeth profiles are successfully derived by using coordinate transformation technique. Then, assembly errors and shape parameters errors of the grinding wheel are introduced, and the error-involved teeth profiles equations are also obtained. Finally, the optimization technique is employed to find the optimized parameters of the grinding wheel such that Curvic couplings with prescribed proper mating conditions can be manufactured. The influences of the each parameter of grinding wheel with respect to the associated contact condition are also analyzed. The radii of grinding wheels for both concave and convex teeth, and the center distance between the grinding wheel and coupling blank are identified to significantly influence the contact area. A computer program for obtaining the optimum profile of grinding wheel involved error settings has been developed by using Visual Basic language.

目錄
摘要 I
Abstract II
目錄 III
圖目錄 V
表目錄 VII
符號說明 VIII
第一章 緒論 1
1-1研究背景及目的 1
1-2文獻回顧 2
1-3論文組織與章節 3
第二章 曲齒聯軸器齒形輪廓 4
2-1曲齒聯軸器簡介 4
2-2 曲齒聯軸器加工方式之介紹 6
2-3 曲齒聯軸器齒形接觸形式 11
2-4 曲齒聯軸器齒形輪廓之推導 13
2-4-1凹齒齒形推導 13
2-4-2凸齒齒形推導 16
2-5 磨輪誤差之曲齒聯軸器齒形輪廓推導 19
2-5-1具誤差函數之凹齒齒盤齒形輪廓 20
2-5-2具誤差函數之凸齒齒盤齒形輪廓 23
2-6磨輪外型設定 26
2-6-1凹齒聯軸器 27
2-6-2凸齒聯軸器 29
第三章 最佳化設計 31
3-1目標函數之建立 32
3-1-1設計變數 32
3-1-2限制條件 32
3-1-3目標函數 37
3-1-4變數對目標函數分析 39
3-2單調性分析 41
3-3有限制條件之最佳化方法 46
3-4 無限制條件之最佳化方法 57
第四章 最佳化程式之建構與開發 61
4-1程式設計概念 62
4-2 程式架構 63
4-3程式參數設定 64
4-4齒形接觸程式 65
4-5建構一全齒接觸的曲齒聯軸器 68
4-6建構一中間區域部份接觸的曲齒聯軸器 70
第五章 結論與建議 74
參考文獻 76

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