Ring tangential tool topological representation of peripheral surfaces

Abstract

The ring tangential tools are bounded by revolution primary peripheral surfaces, used for generation of the cylindrical helical surfaces with constant pitch. In this paper, it is presented an algorithm, based on the topological representation of the tool’s primary peripheral surface. The application method for this algorithm was developed in the CATIA graphical design environment, for the profiling of the ring tool, as surfaces reciprocally enveloping with cylindrical helical surfaces. It is presented a numerical example, based on a dedicated software, for the numerical determination of the axial section form of the tools’ type. Also, is presented a solution for the form correction of the tool’s axial section, considering the existence of the singular point onto the profile of the helical surface to be generated.