Analytical method to profile the hob mill generating an ordinate whirl of surfaces with non-involute profile
Journal Title: Proceedings in Manufacturing Systems - Year 2015, Vol 10, Issue 2
Abstract
The ordinate whirls of surfaces, cylindrical or helical, are generated by enwrapping with worm type tools. A particular aspect of this problem is to profile the tool primary peripheral surface. The classical solution is offered by Olivier second theorem, referring to a couple of reciprocal enwrapped surfaces, which depend on two independent parameters. We should notice that analytically solving such a problem could involve serious difficulties in calculus and, further, in results numerical analysis A newly developed analytical method to profile the primary peripheral surface of the hob mill used for generating the slitting saw cutter teeth with non-involute profile, used in the iron - steel industry, is presented in this paper. The method was conceived grounded on the helical motion de-composing principle and it works in two steps. The profile of the rack-gear conjugated to the generated profile is firstly determined, according to Intermediary surface method, and then, on this base, the hob mill primary peripheral surface is found. A specific profiling algorithm is suggested, followed by a numerical application, in the case of a slitting saw cutter with triangular tooth profile and having the diameter of 1600 millimeters.
Authors and Affiliations
V. Teodor, G. Frumusanu, N. Oancea, S. Berbinschi
Keywords
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Analytical method to profile the hob mill generating an ordinate whirl of surfaces with non-involute profile
The ordinate whirls of surfaces, cylindrical or helical, are generated by enwrapping with worm type tools. A particular aspect of this problem is to profile the tool primary peripheral surface. The classical solution is...