鑽削在金屬加工中非常地普遍，根據統計，全球每年消耗在鑽頭刀具的成本可達數百億美元，而長時間加工後，產生磨損的鑽頭若能重新研磨，可節省一根要價數千元台幣的鑽頭成本。
過去，對於破損的鑽頭大多以人工的方式重新修磨，現存的文獻中也鮮少提到如何將鑽頭重新修磨。利用CNC工具研磨機重新研磨鑽頭是一個相當重要的突破，CNC工具機能讓鑽頭重複研磨且使鑽頭重新研磨後的尺寸更為一致。重新修磨鑽頭的首要工作為找出鑽腹與鑽槽的數學模型，接著對工具機建模，以利NC程式的撰寫，最後，找到鑽頭在CNC工具機上的加工原點，方能精確對鑽頭重新修磨。
本研究將以齊次座標轉換法，並依據國際標準ISO規範建議求得鑽頭各角度與鑽腹的數學模型，接著同樣利用齊次座標轉換及D-H矩陣法則對CNC六軸工具研磨機建模，推導其功能函數矩陣，並推導鑽腹的研磨輪方位矩陣，由研磨輪方位矩陣和工具機功能矩陣的相等可獲得NC程式，藉由求得的NC程式，可使CNC六軸工具研磨機對鑽頭重新修磨以達到本研究的目。

Drilling is one of the most important machining processes that have been widely applied in manufacturing area. According to the statistics, the capital spending of drills is over forty billion US dollars per year in the world. Drills are usually reconditioned four or more times. Therefore, the OEM is only responsible for about 20 percent of a drill’s cutting-edge life. That means the reconditioning service is responsible for 80 percent.
In the past, drills were manually reground. Compared with references of drill design, the existing literature addressing regrinding is rather meager. Today, it’s important to use CNC grinders in drill grinding. CNC machines offer much greater repeatability than manual grinders to get greater consistency from drill to drill. A CNC grinder has a program, program variables and tooling offsets to be properly adjusted to produce drills to specific dimensions and within specific tolerances. However, to use a CNC grinder, there are three difficulties have to be overcome: (1) how to determine the flank and flute for given rake and clearance angle distribution along cutting edges; (2) how to determine the drill home position; (3) how to obtain the NC data equations to regrinding the drill.
Regrinding a drill usually requires a face- or flank-grinding operation, a web-thinning or gashing operation. Therefore, in Section 2 we will review the main geometrical characteristics of a conventional drill. The drilling performance of a drill depends significantly on three characteristic angles (rake, clearance and wedge angle) of cutting edge. In Chapter 3 the tool-in-use system of characteristic angles based on the International Standard Organization (ISO) will be used to determine the required flank and face surfaces. In Chapter 4 the required pose of the grinding wheel will be determined to overcome the second and third difficulties. Five off-the-shelf drills of tungsten carbide material are reground into various drill points for comparisons in Chapter 5. Important conclusions are given in Chapter 6.

1. Radhakrishnan, T.,Kawlra, R. K., and Wu, S. M., “ A Mathematical Model of the Grinding Wheel Profile Required for A Specific Twist Drill Flute,” International Journal Machine Tools Design & Research Vol.22, pp.239-251, 1982
2. Fujii, S., Devries, M.F. and Wu, S.M., ” An Analysis of Drill Geometry for Optimum Drill Design by Computer-Ⅰ: Drill Geometry Analysis,” Trans. ASME, J. of Eng. For Ind., Vol. 92, pp.647-656, 1970
3. Fujii, S., Devries, M.F. and Wu, S.M., ” An Analysis of Drill Geometry for Optimum Drill Design by Computer-Ⅱ: Drill Geometry Analysis,” Trans. ASME, J. of Eng. For Ind., Vol. 92, pp.657-666, 1970
4. Fujii, S., Devries, M.F. and Wu, S.M., ” An Analysis of the Chisel Edge and the Effect of the d-theta Relationship on Drill Point Geometry,” Trans. ASME, J. of Eng. for Ind., Vol.93, pp. 1093-1105,1971
5. Fujii, S., Devries, M.F. and Wu, S.M., ” Analysis and Design of a Drill Grinder and Evaluation of Grinding Parameter,” Trans. ASME, J. of Eng. for Ind., Vol.94, pp.1157-1163,1972
6. Tsai, W.D. and Wu, S.M.,” A Mathematical Model for Drill Point Design and Grinding,” Trans. ASME, J. of Eng. for Ind., Vol.101 Aug. pp.333-340,1979
7. Tsai, W.D. and Wu, S.M.,” Computer Analysis of Drill Point Geometry,” International Journal Machine Tools Design & Research Vol. 19, Nov., pp.95-108,1979
8. Kaldor, S. and Moore, K., “ Drill Point designing by Computer,” Annals of the CIRP Vol.32, pp.27-31, 1983
9. Ehmann, K.F., “ Grinding Wheel Profile Definition for the Manufacture of Drill Flutes,” Annals of the CIRP Vol.39, pp.153-156,1990
10. Salama, A.S. and Elsawy, A.H., “ The Dynamic Geometry of A Twist Drill Point,” Journal of Materials Processing Technology Vol.56, pp.45-53,1996
11. Wu, S.M., and Shen, J.M., “ Mathematical Model for Multifacet Drills,” Trans. ASME, J. of Eng. for Ind., Vol.105 Aug., pp.173-182, 1983
12. Chen, L.H. and Wu, S.M., “ Further Investigation of Multifacet Drills – Mathematical Models, Methods of Grinding, and Computer Plotting,“ Trans. ASME, J. of Eng. for Ind., Vol.106 pp.313-324, 1984
13. Fugelso, M.A., ” Kinematic Synthesis of a Three-Axis Twist Drill point Grinding Machine,” Trans. ASME, J. of Eng. for Ind., Vol.107 Nov. pp.343-348, 1985
14. Thornley, R.H., Elhab, A.B.I. and Maiden, J.D., “ Some Aspects of Twist Drill Design,” International Journal Machine Tools Design & Research Vol.27, pp.383-397, 1987
15. Galloway, D.F., “ Some Experiments on the Influence of Various Factors on Drill Performance,” Trans. ASME, J. of Eng. for Ind., Vol. 79, pp.191-231, 1957
16. Lin, C., Kang, S.K., and Ehmann, K.F., “ Helical Micro-Drill Point Design and Grinding,” Trans. ASME, J. of Eng. for Ind., Vol.117 Aug., pp.277-287, 1995
17. Lin, Psang Dain, and Chu, Min Ben, “ Machine Tools Setting for Cams with Flat-Face Followers,” International Journal Machine Tools & Manufacture Vol.34,pp.1119-1131,1994
18. 黃宏燦，”多面鑽幾何參數與鑽削性能之研究”，博士論文，國立成功大學機械研究所，1988
19. 吳志豐，”螺旋型鑽頭之設計”，碩士論文，國立成功大學機械研究所，1997
20. 馮弘毅，”雙槽鑽頭之設計”，碩士論文，國立成功大學機械研究所，1997
21. 邱柏文，”二次曲線鑽頭之設計”，碩士論文，國立成功大學機械研究所，1998
22. 林銘福，”鑽頭螺旋槽與二次曲線鑽頂之研磨”，碩士論文，國立成功大學機械研究所，2000
23. 曾乾生，”Ewag六軸CNC工具磨床之研究”，碩士論文，國立成功大學機械研究所，2003
24. 謝榮發，”多槽鑽頭設計與研磨”，博士論文，國立成功大學機械研究所，2003
25. 傅光華，切削刀具學，高立出版社，1986
26. 蕭奧，林維新，紀松水，Shaw, Milton C.，切削理論，全華出版社，1987
27. 趙嶺文，鑽削與攻螺絲實務，台灣復文出版社，1995