INFLUENCE OF THE FUNCTION OF MODIFICATION OF THE INITIAL LINE PROFILE ON THE SHAPE OF THE GENERATING SURFACE OF A GEAR CUTTING TOOL

Abstract

Analytical dependencies, which are the result of the research, are shown; they allow to describe a three-dimensional geometric computer kinematic model of the process of shaping a prototype of a gear cutting tool – a hob cutter. The presented computer model takes into account both the geome-tric characteristics of the worm gear being designed and the technological characteristics of its manufac-turing. The article shows the equivalence of the obtained analytical dependencies of the process of shapinga computer geometric model of the working surface, which describe the generating surfaces of a hob cutter and an equivalent real gear cutting tool, what makes it possible to form its virtual digital equiva-lent. Obtaining a virtual prototype of a gear cutting tool allows to reduce the cost of designing of a new worm gear. Analytical dependencies for describing a virtual digital prototype of the generating surface of a hob-cutter gear cutting tool are obtained, with the possibility of introducing a profile modification in order to improve the contact of the working surfaces of a cylindrical worm and a worm wheel. The use of a deliberate profile modification makes it possible to introduce into the computer model of a gear cutting tool a profile retraction of the section of its generating surface from the original rectilinear pro-file, which will entail a modification of the formed working surface of the resulting product and, as a re-sult, will lead to an improvement in the characteristics of the contact zone of the worm gear. The use of a digital prototype of a modified generating surface allows to create a virtual product used in a gear train and makes it possible to study the operation of a worm gear as a whole.