面滾式加工法為連續加工，具有加工速度快、精度高與齒面性能佳等優點，然而面滾式加工法用於外擺線軌跡的戟齒輪或螺旋傘齒輪的加工中。2009年德國克林根貝格公司發表了當滾動圓半徑為內擺線基圓半徑為的一半時，其軌跡退化為直線，利用此關係來進行面滾式直傘齒輪的加工。
已知泛用搖台切齒機所推導的面滾式直傘齒輪數學模式，由於泛用搖台切齒機為虛擬機台，無法用於實際加工，本論文使用六軸CNC傘齒輪切齒機做為切削機台，其機械設定藉由泛用搖台切齒機所推導而來。根據格里森面滾式螺旋傘齒輪和戟齒輪技術報告規劃面滾式直傘齒輪加工NC碼，並建立六軸CNC傘齒輪切齒機齒面拓樸修正方法。最後利用六軸CNC傘齒輪切齒機進行切削實驗，其實驗結果驗證了六軸機械設定與加工NC碼的正確性。加工後的齒輪經由齒輪量測專用機求得齒面拓樸誤差，根據齒面誤差修正方法修正刀具係數與機械設定，求得修正後的齒面並比對齒面拓樸誤差。根據以上數據以及實驗結果，驗證本論文數學模式的正確性。

Face-hobbing method is a continuous cutting process. It has high productivity, precision, and produced gears with better contact bearing. Nevertheless, this method is implemented in the hypoid gear and spiral bevel gear cutting process, and generates extended epicycloidal flanks. In 2009, the German company Klingelnberg disclosed a new face-hobbing method for manufacturing the straight bevel gears. Klingelnberg introduced a hypocycloidal straight mechanism for cutting straight bevel gears. In this mechanism, setting the radius of the rolling circle equals to half of the radius of the base circle yields straight lines.
The mathematical model of the face-hobbed straight bevel gear developed based on a universal cradle-type face-hobbing bevel gear generator is given. We want to make an experiment to verify the correction of the established mathematical model of face-hobbed straight gear. However, this universal cradle-type generator is a virtual machine, which cannot be used in the real manufacture. Instead, we use the six-axis CNC bevel gear cutting machine as the experiment machine. In this thesis, the machine settings of the six-axis CNC bevel gear cutting machine are derived from the universal cradle-type generator. According to the Gleason Works technical report about the face-hobbing cutting system for spiral bevel and hypoid gears, we program the NC codes for manufacturing face-hobbed straight bevel gears. Furthermore, a flank topographic correction method is developed based on the six-axis CNC bevel gear cutting machine. Finally, in order to verify the six-axis machine settings and the NC codes, the cutting experiment is implemented. The flank deviations of finished gears are obtained by the gear measuring center. And according to the proposed correction method, The corrections on the cutter parameters and machine settings are calculated. The results of experiments verify the correction of proposed mathematical models.

[1] 簡文通，機械製造，全華圖書，台北，第八章 (2008)。
[2] 石伊蓓、沈觀葆、馮展華，「六軸電腦數控型傘齒輪創成機開發」，機械月刊，第三十四卷第六期，第6-25頁 (2008)。
[3] 石伊蓓，「直傘齒輪製造方法介紹」，機械月刊，第三十卷，第十期，第18-26頁 (2004)。
[4] Hunecke, C., “The Road Leads Straight to Hypoflex®,” Klingelnberg Sigma Report No.18 (2009).
[5] Yi-Pei Shih, “Mathematical Model for Face-Hobbed Straight Bevel Gears,” Accepted by ASME, Journal of Mechanical Design.
[6] Litvin, F. L., and Fuentes, A., Gear Geometry and Applied Theory, 2nd edition, Cambridge University Press, New York, NY (2004).
[7] Shih Y. P., “Flank Correction for Spiral Bevel and Hypoid Gears on a Six-Axis CNC Hypoid Generator,” Transactions of ASME, Journal of Mechanical Design, Vol.130 /062604-1-10 (2008).
[8] 吳俊霖，「六軸CNC加工戟齒輪之路徑規劃與電腦模擬」，碩士論文，國立中正大學，嘉義 (2006)。
[9] Gleason Works, Face Hobbing Development, Rochester, NY 14692-2970, USA (2000).
[10] FANUC Series 16i/160i/160is-MB, FANUC Series 18i/180i/180is-MB5, FANUC Series 18i/180i/180is-MB Operator’s Manual.
[11] C.Y. Lin, C. B. Tsay, Z. H. Fong. “Computer-aided manufacturing of spiral bevel and hypoid gears by applying optimization techniques,” Journal of Materials Processing Technology, Vol. 114, pp. 22-35 (2001).
[12] 石伊蓓、林忠運，「蝸線傘齒輪和戟齒輪切削刀具」，機械月刊，第三十一卷，第八期，第72-87頁 (2005)。
[13] Oerlikon Geartec Ltd 技術報告。
[14] 石伊蓓、林忠運，「面滾式蝸線傘齒輪和戟齒輪之齒面修正技術」，機械月刊，第三十二卷，第八期，第50-63頁 (2006)。
[15] Yi-Pei Shih, “Study on the Flank Modification of Face Hobbed Hypoid Gear,” Ph. D dissertation, National Chung Cheng University, Chiayi, Taiwan (2007).
[16] ANSI/AGMA ISO 23509-A08, Bevel and Hypoid Gear Geometry, Alexandria, VA, USA(2008).