Reference systems for cutting tool geometry and their transformation matrices

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Abstract
A generalized specification and reference system for three-dimensional cutting tool geometry is developed based on established standards of tool nomenclature. The proposed system of tool specification, designed to meet the requirements of optimal metal cutting, as well as grinding and inspection of the cutting tool geometry, consists of three basic parts : (a) Tool Grinding Reference System, (b) Tool Working Reference System, and (c) Machine Tool Reference System.Using matrix methods, the general transformations required to relate the tool geometry to any of the three proposed reference systems are developed. The analysis is illustrated with a numerical example.

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