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Mathematical Determination of a Flute, Construction of a CAD Model, and Determination of the Optimal Geometric Features of a Microdrill

  • Research Article - Mechanical Engineering
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Abstract

The objective of this paper was to determine mathematically a flute, to construct a CAD model and to determine the optimal geometric features of a 0.1mm diameter of a microdrill based on the stress analysis. The flute of a microdrill was determined mathematically by defining the undercutting relative positions of both the microdrill and grinding wheel and their profiles with respect to setting angle. The mathematically determined flute was used to construct a CAD model of a microdrill using Pro/Engineer software. The cross-sectional comparison between the model and fabricated microdrill was carried out by cutting at different lengths, and the results of the web thickness of the model and the fabricated microdrill were approximately the same. Similarly, the images of primary flank areas and secondary flank areas of fabricated microdrills were taken using optical microscope, and they were compared with the shapes of cutting edge, chisel edge, primary flank areas and secondary flank areas of the model. Based on this comparison, they were almost the same. Hence, the consideration of the mathematically determined flute for the construction of the CAD model of a microdrill was feasible. The optimal geometric features of a microdrill have been determined by setting design control parameters for geometric features and carrying out optimization of the stress/displacement analysis using Pro/Mechanica software so that the maximum Von Mises stress of the microdrill was minimized below the compressive strength of the material property.

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Authors and Affiliations

  1. Department of Mechanical Engineering, National Taiwan University of Science and Technology, # 43, Section 4, Keelung Rd. Da’an Dist., Taipei City, 106, Taiwan, ROC

    Teshome Mulatie Bogale, Fang-Jung Shiou & Geo-Ry Tang

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  1. Teshome Mulatie Bogale
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  2. Fang-Jung Shiou
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  3. Geo-Ry Tang
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Correspondence to Fang-Jung Shiou.

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Bogale, T.M., Shiou, FJ. & Tang, GR. Mathematical Determination of a Flute, Construction of a CAD Model, and Determination of the Optimal Geometric Features of a Microdrill. Arab J Sci Eng 40, 1497–1515 (2015). https://doi.org/10.1007/s13369-015-1632-y

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  • DOI: https://doi.org/10.1007/s13369-015-1632-y

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