摘要
歪斜軸齒輪組目前已被廣泛的應用，尤其以蝸桿蝸輪組與戟齒輪組為最。本研究使用齒面接觸分析法(Tooth Contact Analysis)建構具有裝配誤差的線接觸型態之歪斜軸共軛齒形模式。同時分析其齒面構成參數對傳動誤差造成的影響，並以複雜形法(Complex Method)優選出在有裝配誤差的狀況下具有最佳的傳動誤差的齒輪建構參數。並以此優選參數建構實體模型，再以電腦模擬軟體分析其接觸時的特性以玆驗證。

ABSTRACT
Presently, many industrial applications of gear sets with skew axes, especially worm gear and hypoid gear, are most widely used. The main content of this thesis is to construct the contact analysis model of the line-contacted type tooth profile of gear sets with skew axes with assembly error. The influence of geometrical parameters of skew-axes gear to the transmission error is analyzed. The complex method for optimization is implemented to select the better skew-axes gear parameters with the best performance in transmission error with assembly error. To prove the presented analysis model, the optimized gear parameters are utilized to construct the solid model for analyzing the contact properties by using computer simulation program.

目錄
目錄 I
圖目錄 III
表目錄 V
摘要 VI
ABSTRACT VII
符號說明 VIII
第一章 緒論 1
1-1 前言 1
1-2 文獻回顧 2
1-3 研究方向與論文結構 4
第二章 歪斜軸齒輪組共軛齒形之數學模式及求解 6
2-1 歪斜軸齒輪組共軛齒形之座標系統定義 6
2-2 瞬間螺旋軸位置參數及N平面 9
2-3 齒面嚙合拘束方程式之推導與求解 18
2-4 歪斜軸齒輪組共軛齒面的建構 23
第三章 具裝配誤差的歪斜軸齒輪組之傳動誤差分析 27
3-1 具裝配誤差的歪斜軸齒輪組之座標系統 27
3-2 具裝配誤差下的歪斜軸齒輪組之傳動誤差 29
3-2-1無裝配誤差下的齒廓曲面 29
3-2-2具裝配誤差下的新接觸點 31
3-2-3接觸點求解及傳動誤差 34
3-3 具裝配誤差對傳動誤差的影響 37
第四章 歪斜軸齒輪組建構參數最佳化 41
4-1 歪斜軸共軛齒面建構 41
4-2 歪斜軸齒輪建構參數最佳化 45
4-2-1 具裝配誤差下齒輪建構參數對裝配誤差的影響 46
4-2-2 齒輪建構參數 49
4-2-3 複雜形法 50
4-2-4 齒輪建構參數最佳化 53
4-3 改變最佳化條件的其它歪斜軸齒輪組最佳建構參數 57
4-3-1 固定設計參數:轉速比 57
4-3-2 固定設計參數:扭角 62
4-3-3 固定設計參數:中心距 63
第五章 歪斜軸齒輪組之建構與接觸分析 64
5-1 歪斜軸齒輪組實體建構 64
5-2 歪斜軸齒輪組運轉模擬 72
5-2-1無裝配誤差下的歪斜軸齒輪組運轉模擬 72
5-2-2 具裝配誤差下的歪斜軸齒輪組運轉模擬 74
5-3 改變最佳化條件的其它歪斜軸齒輪組實體建構 78
第六章 結論 85
參考文獻 86

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