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Meccanica
Erschienen in: Meccanica 8/2017

02.09.2016

An innovative tooth root profile for spur gears and its effect on service life

verfasst von: Ting Zou, Mathew Shaker, Jorge Angeles, Alexei Morozov

Erschienen in: Meccanica | Ausgabe 8/2017

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Abstract

An innovative approach to the design of the gear-tooth root-profile, and its effects on the service life is reported in this paper. In comparison with the widely used trochoidal and the recently proposed circular-filleted root profiles, the optimum profile proposed here is a \(G^2\)-continuous curve that blends smoothly with both the involute of the tooth profile and the dedendum circle. Following the AGMA and ISO standards for fatigue loading, the von Mises stress at the critical section and stress distribution along the gear tooth root are studied. The process leading to gear-tooth failure is composed of the crack initiation phase, in number of cycles \(N_i\), and the crack propagation phase, in \(N_p\) cycles. The strain-life (\(\epsilon\)-N) method is employed to determine \(N_i\), where the crack is assumed to initiate at the critical section. Based on the ANSYS crack-analysis module, the effects of \(G^2\)-continuous blending on the stress intensity factor (SIF) are investigated for different crack sizes. Paris’ law, within the framework of Linear Elastic Fracture Mechanics, is used to correlate the SIF with crack size and, further, to determine \(N_p\). The optimum profile provides a significant reduction in SIF and improvement in both \(N_i\) and \(N_p\). Spur gears are made of high-strength steel alloy 42CrMo4, the effects of its properties and surface treatment on service life improvement not being included in this study.
Vorheriger Artikel The PELskin project-part V: towards the control of the flow around aerofoils at high angle of attack using a self-activated deployable flap
Nächster Artikel Non-linear viscoelastic behavior of polymer melts interpreted by fractional viscoelastic model

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Fußnoten
1
Although N is an integer, its values lie in the order of \(10^6\), for which reason it is common practice to treat it as a real number.
 
2
\(G^1\) continuity means point- and tangent-continuity; not curvature-continuity.
 
3
According to Venkayya’s criterion, the optimum design can be interpreted as the one in which the strain energy per unit volume stays constant
 
4
42CrMo4 contains 0.43 % C, 0.22 % Si, 0.59 % Mn, 1.04 % Cr, and 0.17 % Mo.
 
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Metadaten
Titel
An innovative tooth root profile for spur gears and its effect on service life
verfasst von
Ting Zou
Mathew Shaker
Jorge Angeles
Alexei Morozov
Publikationsdatum
02.09.2016
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 8/2017
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-016-0519-7

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