Geometries of cutting tools are usually represented by two-dimensional models. This paper outlines the construction of detailed computer aided design models for a variety of fluted cutters that includes slab mills, end mills, and drills; and establishes a new three-dimensional definition for the geometry of fluted cutters in terms of biparametric surface patches. This work presents unified models of both plain and helical slab mills, end mills (with different end geometries), and drills (with a variety of point styles). The surfaces meant for cutting operations, known as flutes, are modeled as helicoidal surfaces. To model the flutes, sectional geometry of tip-to-tip profile is developed and then it is swept according to a sweeping rule, determined by the type of the cutter under consideration. The slab mill consists of flutes and two planar end surfaces, while the end mills and drills have shanks and end geometries also (in addition to the flutes). The geometric models of shank and end geometries are separately developed. The transitional surfaces of these cutters are modeled as bicubic Bézier surfaces or biparametric sweep surfaces. The proposed models employ a novel nomenclature that defines the form of cutting tools in terms of three-dimensional rotational angles. The relations required to map the proposed three-dimensional angles to conventional angles (forward mapping) and their reverse relations (inverse mapping) are also developed for all three types of fluted cutters. The new paradigm offers immense technological advantages in terms of numerous downstream applications.
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June 2008
Research Papers
Geometric Modeling of Fluted Cutters
Puneet Tandon,
e-mail: ptandon@iiitdm.in
Puneet Tandon
Indian Institute of Information Technology
, Design & Manufacturing, Jabalpur 482011, India
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Phalguni Gupta,
Phalguni Gupta
Computer Science and Engineering Department,
I.I.T. Kanpur
, Kanpur 208016, India
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Sanjay G. Dhande
Sanjay G. Dhande
Mem. ASME
Department of Mechanical Engineering,
I.I.T. Kanpur
, Kanpur 208016, India
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Puneet Tandon
Indian Institute of Information Technology
, Design & Manufacturing, Jabalpur 482011, Indiae-mail: ptandon@iiitdm.in
Phalguni Gupta
Computer Science and Engineering Department,
I.I.T. Kanpur
, Kanpur 208016, India
Sanjay G. Dhande
Mem. ASME
Department of Mechanical Engineering,
I.I.T. Kanpur
, Kanpur 208016, IndiaJ. Comput. Inf. Sci. Eng. Jun 2008, 8(2): 021007 (15 pages)
Published Online: May 16, 2008
Article history
Received:
May 16, 2006
Revised:
September 29, 2007
Published:
May 16, 2008
Citation
Tandon, P., Gupta, P., and Dhande, S. G. (May 16, 2008). "Geometric Modeling of Fluted Cutters." ASME. J. Comput. Inf. Sci. Eng. June 2008; 8(2): 021007. https://doi.org/10.1115/1.2908025
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