Analysis of the mathematical correlation between post-sharped hob and worm gear tooth surface

Abstract

The production geometry development of the worm gear drives with circle arched profile in axial section requires the combined management of complex mathematical, geometric and manufacturing knowledge. In this paper has been presented an analysis of the relation between the post-sharpening of the cylindrical hob with circle arched profile in axial section and gear tooth surface error according to the functions determined by previous research work, that fits to the Dudás type ProMAT general mathematical model, which is suitable for the analysis of technological processes in manufacturing. During the research the extension of this method to any type of worm gear drives has been aspired.

Selection of Optimal Profile Shift Coefficients in Terms of Bending Stress for Spur Gears

“…The enveloping surfaces of the connected pairs of toothed elements were modelled with CAD design software [14] and determined by self-made computer program [15].…”