在多種圓柱型齒輪的加工技術中，特別是在內齒輪的製造上，強力刮齒技術有著
高精度以及高產量等優勢逐漸受到矚目。由於齒輪在製造上以及齒輪裝配間會有誤
差，因此需要對內齒輪齒面進行修形，不僅可以降低齒面間傳動時產生的噪音，也可
以提高齒輪本身的強度。本研究提出了一種二次齒面修形運用於強力刮齒內齒輪的方
法，透過更改強力刮齒刀具齒形來達到內齒輪齒形方向的修整，其零誤差圓柱型刀具
的齒廓源於生成的齒輪齒形，由齒形修形的內齒輪齒面嚙合而成。在強力刮齒運動過
程中，透過在工件軸上角度的增量來達到內齒輪齒面上沿著齒長方向的修形。以上的
方法將運用於六軸CNC 傘齒輪切齒機上驗證所提出的數學模式，並且將強力刮齒運
動從泛用機推導至六軸CNC 切齒機的過程中編程加工NC 碼。最終，放入VERICUT
切削模擬軟體驗證以上方法以及加工NC碼的正確性。

Power skiving has high productivity and high precision for manufacturing various
cylindrical gears, especially internal gears. Therefore, power skiving gets more attention in gear manufacturing. Considering the manufacturing errors, flank modification of tooth surfaces needs to be adopted to reduce the gear noise and improve gear strength. This research develops a double-crowning modification method to manufacture internal gears using power skiving. The error-free profile of the cylindrical skiving tool is derived from the generating gear, which conjugates with the profile-crowning internal gear. After that, the lengthwise crowning on the tooth surface is deployed through applying angular increment of workpiece axis during the power skiving process. This method is implemented on the six axis CNC gear cutting machine to verify the proposed mathematical model. The NC codes are programmed based on the six-axis coordinates derived from the universal machine settings of power skiving. And then using VERICUT simulation cutting software to confirm the correctness of NC codes.

[1] Von Pittler, W., 1910, Verfahren Zum Schneiden Von Zahnrädern Mittels Eines Zahnradartigen, An Den Stirnflächen Der Zähne Mit Schneidkanten Versehenen Schneidwerkzeugs.
[2] Spath, D., and Hühsam, A., 2002, "Skiving for high-performance machining of periodic structures," CIRP Annals - Manufacturing Technology, 51(1), pp. 91-94.
[3] Kobialka, C., "Contemporary gear pre-machining solutions," Proc. American Gear Manufacturers Association Fall Technical Meeting 2012, AGMA, pp. 152-161.
[4] Stadtfeld, H. J., "Power skiving of cylindrical gears on different machine platforms," Proc. American Gear Manufacturers Association Fall Technical Meeting 2013, pp. 2-18.
[5] Chen, X. C., Li, J., and Lou, B. C., 2013, "A study on the design of error-free spur slice cutter," International Journal of Advanced Manufacturing Technology, 68(1-4), pp. 727-738.
[6] Chen, X. C., Li, J., Zou, Y., and Wang, P., 2014, "A study on the grinding of the major flank face of error-free spur slice cutter," International Journal of Advanced Manufacturing Technology, 72(1-4), pp. 425-438.
[7] 李昀浚, 2016, "漸開線型圓柱齒輪之強力刮齒數學模式," 碩士, 國立臺灣科技大學, 台北市.
[8] Guo, Z., Mao, S. M., Du, X. F., and Ren, Z. Y., 2017, "Influences of tool setting errors on gear skiving accuracy," International Journal of Advanced Manufacturing Technology, 91(9-12), pp. 3135-3143.
[9] Shih, Y. P., and Chen, S. D., 2012, "Free-form flank correction in helical gear grinding using a five-axis computer numerical control gear profile grinding machine," Journal of Manufacturing Science and Engineering, Transactions of the ASME, 134(4).
[10] Shih, Y. P., and Chen, S. D., 2012, "A flank correction methodology for a five-axis CNC gear profile grinding machine," Mechanism and Machine Theory, 47(1), pp. 31-45.
[11] Guo, E., Hong, R., Huang, X., and Fang, C., 2015, "A correction method for power skiving of cylindrical gears lead modification," Journal of Mechanical Science and Technology, 29(10), pp. 4379-4386.
[12] 吳福傳, 2017, "具修形直傘齒輪對之齒面接觸分析研究," 碩士, 國立臺灣科技大學, 台北市.
[13] Guo, E., Hong, R., Huang, X., and Fang, C., 2014, "Research on the design of skiving tool for machining involute gears," Journal of Mechanical Science and Technology, 28(12), pp. 5107-5115.
[14] Guo, E., Hong, R., Huang, X., and Fang, C., 2015, "Research on the cutting mechanism of cylindrical gear power skiving," International Journal of Advanced Manufacturing Technology, 79(1-4), pp. 541-550.
[15] Guo, E., Hong, R., Huang, X., and Fang, C., 2016, "A novel power skiving method using the common shaper cutter," International Journal of Advanced Manufacturing Technology, 83(1-4), pp. 157-165.
[16] Guo, Z., Mao, S. M., Li, X. E., and Ren, Z. Y., 2016, "Research on the theoretical tooth profile errors of gears machined by skiving," Mechanism and Machine Theory, 97, pp. 1-11.
[17] Tsai, C. Y., 2016, "Mathematical model for design and analysis of power skiving tool for involute gear cutting," Mechanism and Machine Theory, 101, pp. 195-208.
[18] Katz, A., Erkorkmaz, K., and Ismail, F., 2018, "Virtual Model of Gear Shaping—Part I: Kinematics, Cutter–Workpiece Engagement, and Cutting Forces," Journal of Manufacturing Science and Engineering, 140(7).
[19] Tsai, C. Y., and Lin, P. D., 2018, "Gear manufacturing using power-skiving method on six-axis CNC turn-mill machining center," International Journal of Advanced Manufacturing Technology, 95(1-4), pp. 609-623.
[20] Ren, Z., Fang, Z., Kobayashi, G., Kizaki, T., Sugita, N., Nishikawa, T., Kugo, J., and Nabata, E., 2020, "Influence of tool eccentricity on surface roughness in gear skiving," Precision Engineering, 63, pp. 170-176.
[21] Piegl, L., and Tiller, W., The NURBS Book, 2nd Edition, Springer, Berlin, Germany(1997).
[22] Graf, W., "Twist Control Grinding ( TCG )."