The extension of the general mathematical model developed for helicoidal surfaces to the whole system of manufacturing technology and production geometry (ProMAT)

Abstract

The objective of this publication is the generalization of geometrically correct production of worm surfaces (e.g., turning, milling, and grinding) based on the results of kinematical geometry and toothing theory, the production geometry analysis of tools, and the mathematical defining of the geometric and connection relation. Our purpose is to be able to define every thread surface in one common system so that they could be produced in a modern manufacturing system.