Geometry Analysis of Oblique Boring by Radius Peakless Cutters in Static and Kinematic Systems of Coordinates

The geometry of the cutting edge has a significant effect on the mechanisms of deformation in the removed layer of the material, and on the mechanics of geometry formation, therefore the analysis of the cutting tool geometric parameters is important. Peakless cutting is characterized by high quality and efficiency. Geometrical parameters of oblique peakless boring are considered in this paper. The scheme of the process is drawn in a static system of coordinates. A method of calculating geometrical parameters in static and kinematic systems of coordinates is proposed. The geometry is determined by vector-matrix transformations based on the linear algebra apparatus using homogeneous coordinates. The limits of static angles of the cutting tools are set depending on the technological parameters such as the cutting depth, feed, workpiece diameter, cutting insert radius, and initial geometry of the cutting edge. The results obtained may be used for designing modern metal cutting tools and developing manufacturing processes.

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