Geometric Modelling of Side Milling Cutting Tool Surfaces


Puneet Tandon
Department of Mech. Engg.
Indian Institute of Technology Kanpur Kanpur 208 016, INDIA
e-mail: puneett@iitk.ac.in
S. G. Dhande
Department of Mech. Engg.
Indian Institute of Technology Kanpur Kanpur 208 016, INDIA
e-mail:  sgd@iitk.ac.in
Phalguni Gupta
Department of Mech. Engg.
Indian Institute of Technology Kanpur Kanpur 208 016, INDIA
e-mail: pg@iitk.ac.in

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Current international trends in representing the geometry of cutting tools are based on a projective geometry approach, and therefore regarded as a two-dimensional representation. This paper presents a comprehensive three-dimensional geometric model of a side milling cutting tool in terms of biparametric surface patches. This model includes new proposed three-dimensional definitions of all the functional and transitional surfaces. Seven new angles, termed as grinding angles, are proposed to define the orientation of these surface patches. Mapping between this three-dimensional nomenclature and conventional two-dimensional tool geometry is established. The benefits of the new paradigm include ease in simulation, virtual and rapid prototyping and manufacturing; finite element based engineering analysis and programming CNC tool and cutter grinders.


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