Numerical Shaping Method for Hobbing Tools

A numerical method is proposed for the shaping of tools used in machining complex surfaces with a periodical profile, including screw surfaces. A heuristic approach to Mathcad programming is adopted. The mathematical formulation includes a module generating spatial transformations of the coordinate systems in matrix form. On that basis, a numerical model of a hob profile is constructed. This approach permits single-stage shaping, without determining the profile of the associated helical gear.