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Influence of thin–rimmed/-webbed gears on transmission dynamic behaviour—Approximate dynamic factor formula

Einfluss von dünnstegigen/-berandeten Zahnrädern auf das dynamische Verhalten des Getriebes – Näherungsweise Formel für den Dynamikfaktor

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Abstract

The objective of this paper is to analyse the effect of thin-webbed/-rimmed and consequently flexible gear bodies on dynamic tooth loads. To this end, an approximate dynamic factor formula is used, which makes it possible to estimate dynamic mesh force amplifications from Finite Element models, strain energies and quasi-static transmission errors. It is shown that, whenever solid gears are considered, the dynamic factor derived from the complete FE model results agrees well with those given by the analytical formula. When thin-rimmed/webbed gears are considered, the outcomes from the approximate dynamic factor formula are still in reasonable agreement with those of the complete FE model although the influence of rotating gear body cannot be accounted for. This good agreement also reveals that, for the tested geometries, dynamic couplings between dynamic mesh forces and gear body elasticity remain moderate.

Zusammenfassung

Ziel dieser Arbeit ist es, den Einfluss von dünnstegigen/-berandeten und damit flexiblen Zahnradkörpern auf dynamische Zahnbelastungen zu analysieren. Dazu wird eine näherungsweise dynamische Faktorformel verwendet, die es ermöglicht, dynamische Zahnkraftungen aus Finite-Elemente-Modellen, Dehnungsenergien und quasistatischen Übertragungsfehlern abzuschätzen. Es wird gezeigt, dass bei der Betrachtung von Vollzahnrädern der aus den vollständigen FE-Modellergebnissen abgeleitete dynamische Faktor gut mit dem durch die analytische Formel angegebenen übereinstimmt. Bei der Betrachtung von dünnrandigen/stegigen Zahnrädern stimmen die Ergebnisse der angenäherten dynamischen Faktorformel noch einigermaßen mit denen des vollständigen FE-Modells überein, obwohl der Einfluss des rotierenden Zahnradkörpers nicht berücksichtigt werden kann. Diese gute Übereinstimmung zeigt auch, dass für die getesteten Geometrien die dynamischen Kopplungen zwischen dynamischen Eingriffskräften und Radkörperelastizität moderat bleiben.

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Authors and Affiliations

  1. LaMCoS—INSA de Lyon, 27 bis Avenue Jean Capelle, 69621, Villeurbanne, France

    B. Guilbert & P. Velex

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  1. B. Guilbert
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  2. P. Velex
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Correspondence to B. Guilbert.

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B. Guilbert and P. Velex declare that they have no competing interests.

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Guilbert, B., Velex, P. Influence of thin–rimmed/-webbed gears on transmission dynamic behaviour—Approximate dynamic factor formula. Forsch Ingenieurwes 86, 315–320 (2022). https://doi.org/10.1007/s10010-021-00543-1

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  • DOI: https://doi.org/10.1007/s10010-021-00543-1

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