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Archive of Mechanical Engineering

The Journal of Committee on Machine Building of Polish Academy of Sciences

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2300-1895
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Simulation of Elastic Gears with Non-Standard Flank Profiles

Trong Phu Do
  • Institute of Engineering and Computational Mechanics, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany
  • :
/ Pascal Ziegler
  • Institute of Engineering and Computational Mechanics, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany
  • :
/ Peter Eberhard
  • Institute of Engineering and Computational Mechanics, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany
  • :
Published Online: 2013-03-27 | DOI: https://doi.org/10.2478/meceng-2013-0004

There exist cases where precise simulations of contact forces do not allow modeling the gears as rigid bodies but a fully elastic description is needed. In this paper, a modally reduced elastic multibody system including gear contact based on a floating frame of reference formulation is proposed that allows very precise simulations of fully elastic gears with appropriately meshed gears in reasonable time even for many rotations. One advantage of this approach is that there is no assumption about the geometry of the gears and, therefore, it allows precise investigations of contacts between gears with almost arbitrary non-standard tooth geometries including flank profile corrections.

This study presents simulation results that show how this modal approach can be used to efficiently investigate the interaction between elastic deformations and flank profile corrections as well as their influence on the contact forces. It is shown that the elastic approach is able to describe important phenomena like early addendum contact for insufficiently corrected profiles in dependence of the transmitted load. Furthermore, it is shown how this approach can be used for precise and efficient simulations of beveloid gears.

Streszczenie

Istnieja przypadki, gdy dla dokładnej symulacji sił kontaktowych nie mozna modelowac kół zebatych jako ciał sztywnych, lecz jest potrzebny opis w pełni sprezysty.Wartykule zaproponowano model systemu wielu ciał uwzgledniajacy styki miedzy zebami, modalnie zredukowany i z zastosowaniem układu odniesienia o płynnych ramach, umozliwiajacy bardzo dokładna symulacje w pełni sprezystych kół zebatych o róznych rodzajach zazebienia. Symulacja jest mozliwa dla znacznej liczby obrotów, przy czym wymagany czas obliczen jest stosunkowo krótki. Zaleta tego podejscia jest, ze nie wymaga ono załozen co to geometrii zebów, dzieki czemu mozna dokładnie badac zjawiska na stykach miedzy zebami dla dowolnych, niestandardowych geometrii zebów, w tym równiez o skorygowanym profilu powierzchni bocznej.

W artykule przedstawiono wyniki symulacji, które pokazuja, ze takie modalne podejscie moze byc uzyteczne przy badaniu zaleznosci miedzy odkształceniami sprezystymi a korekcja profili zebów, a takze ich wpływu na siły kontaktowe. Pokazano, ze stosujac model sprezysty mozna opisywac wazne zjawiska, takie jak wczesny kontakt głowy zeba w przypadku niedostatecznej korekcji profilu w zaleznosci od przenoszonego obciazenia. Co wiecej, pokazano ze opisany sposób podejscia moze byc wykorzystany przy precyzyjnej i wydajnej symulacji przekładni stozkowych.

Keywords : multibody dynamics; gears; involute gears; beveloid gears; contact forces; elastic multibody system

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Published Online: 2013-03-27

Published in Print: 2013-03-01


Citation Information: Archive of Mechanical Engineering. Volume 60, Issue 1, Pages 55–73, ISSN (Print) 0004-0738, DOI: https://doi.org/10.2478/meceng-2013-0004, March 2013

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