雙連鎖碟型刀具切製法是美國格里森公司發展的傳統直傘齒輪切製法，由於具有凸狀齒面，其齒輪對具有低組裝敏感度和高精度等特點，因此被廣泛應用於直傘齒輪製造。這個切製法需要在專用的切齒機上實施，然而傳統機台切齒運動是由機構達成，其機台結構設計非常複雜，所以有較低的生產效率的缺點。為了要解決這個問題，美國格里森公司近期提出將雙連鎖碟型刀具切製法應用在新型的鳳凰數控切齒機上，但由於商業利益的考量，所以雙連鎖碟型刀具切製法之直傘齒輪齒面數學模式推導並未公開。
本論文目的是發展應用於六軸CNC傘齒輪切齒機之直傘齒輪雙連鎖碟型刀具切製法，首先利用標準假想產形輪與推導之產形輪參考點相切，發展泛用型搖台傘齒輪切齒機，以推導出雙連鎖碟型刀具切製法之直傘齒輪數學模式。此泛用型搖台式雙連鎖碟型刀具切製法之直傘齒輪齒面數學模式包含三個模組，分別為刀具、平面假想產形輪，以及工件齒輪與平面假想產形輪之間的相對運動。並對推導的雙連鎖碟型刀具切製法直傘齒輪數學模式進行齒面相對修形與齒面接觸分析，觀察其齒面接觸的情形與性能。由於泛用搖台機為虛擬機台，無法用於真實加工，為了利用六軸CNC傘齒輪切齒機當作模擬的機台，本論文推導泛用搖台機到六軸傘齒輪切齒機之機械設定，最後發展虛擬六軸CNC傘齒輪機台模擬器，以分別模擬加工NC路徑，來驗證推導之數學模式的正確性。

The ConiflexR cutting method developed by Gleason is used to produce straight bevel gear (SBG). This method uses two interlocked cutters to generate a combination of profile and lengthwise crowning in the tooth flanks, and thus achieves the advantages of low assemble sensibility and high precision. However, it is only operated in the dedicated machine. The traditional machine is difficult to be setup as a result of low repeatability. To address this problem, Gleason recently announced that this cutting method can be applied on the modern PHOENIXR CNC machine. However, the details of the ConiflexR cutting method are not provided because of commercial considerations. The main goal of this work is to transform the technology of ConiflexR cutting method to a six-axis CNC bevel gear cutting machine. A mathematical model of ConiflexR SBG is first developed based on the universal bevel gear cutting machine. This model contains three modules: a cutter, an imaginary generating gear, and the relative motion between an imaginary generating gear and the work gear. The correctness of the model is confirmed using the ease-off and tooth contact analysis. Moreover, the cutting NC data is programmed according to the six-axis machine settings which are obtained by the conversion from a universal cradle-type to a six-axis Cartesian-type machine. Finally, the 3D NC simulator developed by our research team is used to verify the correctness of the generated NC data.

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