The corrective profiling modeling of rack tool for involute teethed gear generation

Résumé

The modality to generate surfaces by enwrapping using rolling methods with tools as rack-gear, gear shaped and hub worm is very used at the involute teethed wheels machining, as so as, for the ordered curling whirl: splined shaft, teeth of the milling tools, pump worm for helical compressor etc. As in all the manufacturing process the machined surfaces are affected by errors. In this paper is proposed a model for the generating error compensation at the machining with rack-gear, regarding the generation principle and the constructive form of the rack-gear tool, when the surface to be generated is known only approximately at discrete points. Bezier polynomials are used to elaborate a specific methodology for profiling tools. The results we have obtained suggest that the tool profile errors are small enough to be used in engineering applications. Based on original software, numerical examples regarding the rack-gear tool’s corrective profiling are presented.