臺灣博碩士論文加值系統

歪斜軸齒輪在目前已有許多的應用，尤其以蝸桿蝸輪組與戟齒輪組最被廣泛應用。但是以戟齒輪為例，不同的齒輪製造廠商所製造之齒輪組彼此間卻不能互換使用，不同系統之間缺乏共通性，不利於齒輪研發成果的整合應用，所以歪斜軸齒輪組亟待建立一套通用的數學建構模式。
本研究根據剛體運動理論與共軛嚙合原理，建構歪斜軸齒輪組之參數化數學模式與偏微分拘束方程式。從偏微分拘束方程式求解，提出具有線接觸型態之新型歪斜軸共軛齒形，並對所提出之齒面參數進行定性分析。最後並將所建構之線接觸型態歪斜軸齒輪組，利用運動模擬軟體進行運轉模擬測試，提供作為齒面理論與齒輪性能之佐證。

Presently, there are a lot of applications of gear sets with skew axes, some of them, especially worm gear sets and hypoid gear sets, are widely used. Take hypoid gear as example, gear sets produced by different gear factories can’t fit to each other. Due to the lacking in common properties among different systems, it is disadvantageous to integrated application of development of gear researches. Therefore, a common mathematical constructive model is necessary to be established.
The main content of this thesis is to construct the mathematical parametric model and the partial differential constraint equation according to the rigid-body transformation theory and General Theorem of Conjugate Surfaces. After finding out the solution from the partial differential constraint equation, a new line-contacted type of tooth profile of gear sets with skew axes, quality analyses to the parameters of gear profile rendered are proceeded. Finally, utilize the software of motion simulation to simulate the operating situation of the linear contacted type of gear sets with skew axes constructed, and supply the demonstration of the theory of tooth profile of gear sets and properties of gear sets.

摘要 I
ABSTRACT II
目 錄 III
圖目錄 V
表目錄 VI
符號說明 VII
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 6
2-1 剛體運動的描述 6
2-2 齒輪組之座標系統定義 8
2-3 瞬間螺旋軸位置參數 9
2-4 N平面的觀念 13
2-5 共軛齒形 19
第三章 歪斜軸齒輪組共軛齒形 23
3-1 歪斜軸齒輪拘束方程式之求解 23
3-2 拘束方程式的簡化 25
3-3 歪斜軸齒輪組共軛齒面的建構 28
3-4 歪斜軸齒輪組共軛齒面產生程式 31
第四章 齒形參數特性分析 33
4-1 理論推導中的限制條件 33
4-2 假設條件的參數特性 36
4-3 參數設定範例 47
4-4 齒面分析 52
第五章 歪斜軸齒輪組齒形之建構實例 54
5-1 齒面建構合成實例說明 54
5-2 運轉測試 61
5-3 其他嚙合條件的齒輪組 64
5-4 非齒輪方面的應用 67
第六章 結論 69
參考文獻 71

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