Helical drill points provide a superior cutting performance, particularly when drilling microholes. Complex helical drill points retain the advantages of conventional helical drills while providing a further strengthening of the cutting edge. However, no methods currently exist for systematically modeling drills of this type. The proposed method has three distinct features. First, the mathematical model of the complex helicoid grinding surface enables the normal and tangential vectors of the abrasive wheel to be explicitly derived. Second, the mathematical models of the flute and flank surfaces are integrated, and thus the cutting edges and chisel edges can be obtained using a simple numerical calculation procedure. Finally, the derivation of the model is straightforward and expresses the drill’s characteristics (e.g., the chisel edge, the lip clearance angle, the heel clearance, the normal rake angle, and the normal clearance angle) in accordance with International Organization for Standardization standards. When integrated with appropriate computer numerical control (CNC) software, the modeling approach presented in this study provides a powerful tool for the design and manufacturing of complex helical drill points with a variety of geometrical designs.
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December 2009
Research Papers
Mathematical Modeling of a Complex Helical Drill Point
Jung-Fa Hsieh
Jung-Fa Hsieh
Professor
Department of Mechanical Engineering,
Far East University
, Tainan 744, Taiwan, R.O.C.
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Jung-Fa Hsieh
Professor
Department of Mechanical Engineering,
Far East University
, Tainan 744, Taiwan, R.O.C.J. Manuf. Sci. Eng. Dec 2009, 131(6): 061006 (11 pages)
Published Online: November 10, 2009
Article history
Received:
October 7, 2008
Revised:
October 4, 2009
Online:
November 10, 2009
Published:
November 10, 2009
Citation
Hsieh, J. (November 10, 2009). "Mathematical Modeling of a Complex Helical Drill Point." ASME. J. Manuf. Sci. Eng. December 2009; 131(6): 061006. https://doi.org/10.1115/1.4000438
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