「改變鑽頭的鑽頂幾何和腹板厚度」已是目前更深入開發高性能鑽頭被廣泛接受的方法，薄刃法(web-thinning)則是最普遍使用的方法。薄刃法可用於降低鑽頭的鑽削推力和初始鑽削的自走現象，是藉由修磨傳統鑽頭的腹板而達到修短鑿刃的目的，因而產生一對相同形狀的小溝槽(即新次切刃)，以此種方法修磨而得的鑽頭稱為薄刃鑽頭(thin-webbed drill)。長久以來，當鑽頭是新品或磨損而須重新磨銳的情況，經常見修磨鑽頭腹板部位，使鑿刃變短或恢復磨損前的長度，得以改善或恢復鑽頭的鑽削性能，目前這種修磨鑽頭腹板觀念已被納入新品鑽頭的設計概念。
本研究第一個主題是配合六軸數控工具機的使用，建立薄刃鑽頭設計/加工的數學模式，是基於ISO標準的斜角角度規範，求得修磨雙槽鑽頭腹板的研磨輪方位矩陣(即研磨位姿)而產生一對新次切刃，稱為成形法。成形法可由新次切刃最外角落點的已知斜角角度值，加工切削得到直線的小溝槽(即直刃次切刃)。為驗證理論的正確性，以實驗方式成功加工出一支傳統鑽頭和一支以成形法加工的薄刃鑽頭。
前面提出的成形法使用單一形狀研磨輪，可研磨出直線形狀的次切刃，但無法指定沿次切刃的角度分佈。本研究的第二個主題是將成形法的數學模式加以擴展，使可以任意指定次切刃的曲線形狀及沿次切刃的角度分佈，稱為創成法。因創成法具任意指定的特性，故可使次切刃曲線與原主切刃曲線的連接更為平順甚且可消除尖銳的交點。於此，二支實驗薄刃鑽頭已成功被加工，用於驗證理論推導的正確性。
本研究最後一個主題是陳述有關工具機切削精度的問題，分別為：(1)哪一個連桿參數(稱為主動參數)會影響被切削工件的加工精度？ (2)如何以研磨輪做為量測測頭，進行主動參數的量測？為了達成以上的目的，我們使用修正型的D-H座標設定法則為六軸工具機建模，所需的NC數值函數被推導成含工具機連桿參數的函數。由NC數值函數發現，工具機的連桿參數可被區分成「主動參數」和「非主動參數」，若欲經多軸數控工具機切削得到正確的加工尺寸，則須要量得主動參數值和工件原點座標值。於此，由NC數值函數觀點，陳述了一種量測技巧，即令研磨輪為量測測頭，量得工具機的主動參數和被加工件的工件原點。最後，以薄刃鑽頭切削為實例，驗證理論的正確性。

Changes in the design of drill’s web and point geometry have been widely used into the deeper investigations of a high performance drill. A common web-thinning method now is accepted as a means of the investigations. The web- thinning methods have evolved to reduce the thrust force and improve the initial penetration by reducing the chisel length through thinning the web with different notch-type cuts. Traditionally, twist drills are reconditioned by thinning the web so the correct chisel edge length is restored. Recently, thinning has been included in the original design of drills so as to reduce torque and tool force. The first topic in this study presents a system for precise mathematical modeling and CNC control of a 6-axis grinding workstation for drill thinning. The presented method (namely forming method) determines the position and orientation of the grinding wheel based on the evaluated rake and clearance angles of ISO standards for 2-flute twist drills. It is suitable for linear notch-type cutting with controlled variable rake angle along the secondary cutting edge for purposes of thinning, notching, dubbing and advanced drill research. For verification and demonstration, two experimental drills are produced to the identical ISO standard except that one is thinned. The modeling herein is of value to industry and research if incorporated into computer software for drill design and manufacture.
Researchers commonly develop mathematical models to produce thinned/notched drill points with secondary cutting edges, but their models cannot freely assign the distribution of rake angles along the secondary cutting edges. Consequently, it cannot comprehensively specify these thinned/notched drill points. Our earlier work presented a mathematical model for thinned/notched drill-design and we used single grinding wheel to manufacture an ISO-standard drills with linear secondary cutting edges. The second topic discussed a more flexible mathematical model (namely generation method). The earlier model is expanded herein to drill points with a specifiable secondary cutting edge and its rake angle distribution. Since of this, the entire cutting edge can be provided with continuity to eliminate stress points. Two experimental drills are produced and tested for verification and demonstration. The presented modeling technique allows subsequent researchers to exactly duplicate the drills including the thinning/notching drill points, a capability that was previously unavailable. This system is useful for improved drill CAD and CNC software for the design, manufacture, reconditioning, and research of novel point design.
The complex structures of a multi-axis machine tool may produce inaccuracies at the tool tip caused by dimensional errors in the machine’s link parameters. The final topic discussed in this study, it addresses two important issues for precision machining: (1) which link parameters (denoted as active parameters) of a machine tool can affect the machining accuracy of a workpiece; and (2) how to measure the active parameters by using a grinding wheel as a measuring probe. To achieve this, a modified Denavit-Hartenberg (D-H) notation is introduced to model a multi-axis machine tool. The NC data equations are then derived in terms of the machine’s link parameters. It is found that the link parameters of a machine tool can be divided into two types: active and nonactive parameters. The prerequisite for obtaining an accurately machined workpiece is to have correct values of the active parameters and the workpiece home position. Based on the developed NC data equations of a multi-axis machine tool, this paper also addresses the technique of using a grinding wheel as a measuring probe to determine the active parameters and the workpiece home position. Experimental results are also given with illustrative examples.

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