Contact stress in helical bevel gears

Helical bevel gears have inclined or twisted teeth on a conical surface and the common types are skew, spiral, zerol, and hypoid bevel gears. However, this study does not include hypoid bevel gears. Due to the geometric complexities of bevel gears, commonly used methods in their design are based on...

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Autores principales:	Osakue Edward E., Anetor Lucky, Harris Kendall
Formato:	article
Lenguaje:	EN
Publicado:	University of Belgrade - Faculty of Mechanical Engineering, Belgrade 2021
Materias:	gears contact stress fatigue helix angle equivalent spur gear Engineering (General). Civil engineering (General) TA1-2040 Mechanics of engineering. Applied mechanics TA349-359
Acceso en línea:	https://doaj.org/article/e583c36bb8794929b0a10ec631ccb53e
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spelling	oai:doaj.org-article:e583c36bb8794929b0a10ec631ccb53e2021-12-05T21:01:45ZContact stress in helical bevel gears1451-20922406-128X10.5937/fme2103519Ohttps://doaj.org/article/e583c36bb8794929b0a10ec631ccb53e2021-01-01T00:00:00Zhttps://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2021/1451-20922103519O.pdfhttps://doaj.org/toc/1451-2092https://doaj.org/toc/2406-128XHelical bevel gears have inclined or twisted teeth on a conical surface and the common types are skew, spiral, zerol, and hypoid bevel gears. However, this study does not include hypoid bevel gears. Due to the geometric complexities of bevel gears, commonly used methods in their design are based on the concept of equivalent or virtual spur gear. The approach in this paper is based on the following assumptions, a) the helix angle of helical bevel gears is equal to mean spiral angle, b) the pitch diameter at the backend is defined as that of a helical gear, and c) the Tredgold's approximation is applied to the helical gear. Upon these premises, the contact stress capacity of helical bevel gears is formulated in explicit design parameters. The new contact stress capacity model is used to estimate the contact stress in three gear systems for three application examples and compared with previous solutions. Differences between the new estimated results and the previous solutions vary from -3% and -11%, with the new estimates being consistently but marginally or slightly lower than the previous solution values. Though the differences appear to be small, they are significant because the durability of gears is strongly influenced by the contact stress. For example, a 5% reduction in contact stress may result in almost 50% increase in durability in some steel materials. The equations developed do not apply to bevel crown gears.Osakue Edward E.Anetor LuckyHarris KendallUniversity of Belgrade - Faculty of Mechanical Engineering, Belgradearticlegearscontact stressfatiguehelix angleequivalent spur gearEngineering (General). Civil engineering (General)TA1-2040Mechanics of engineering. Applied mechanicsTA349-359ENFME Transactions, Vol 49, Iss 3, Pp 519-533 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	gears contact stress fatigue helix angle equivalent spur gear Engineering (General). Civil engineering (General) TA1-2040 Mechanics of engineering. Applied mechanics TA349-359
spellingShingle	gears contact stress fatigue helix angle equivalent spur gear Engineering (General). Civil engineering (General) TA1-2040 Mechanics of engineering. Applied mechanics TA349-359 Osakue Edward E. Anetor Lucky Harris Kendall Contact stress in helical bevel gears
description	Helical bevel gears have inclined or twisted teeth on a conical surface and the common types are skew, spiral, zerol, and hypoid bevel gears. However, this study does not include hypoid bevel gears. Due to the geometric complexities of bevel gears, commonly used methods in their design are based on the concept of equivalent or virtual spur gear. The approach in this paper is based on the following assumptions, a) the helix angle of helical bevel gears is equal to mean spiral angle, b) the pitch diameter at the backend is defined as that of a helical gear, and c) the Tredgold's approximation is applied to the helical gear. Upon these premises, the contact stress capacity of helical bevel gears is formulated in explicit design parameters. The new contact stress capacity model is used to estimate the contact stress in three gear systems for three application examples and compared with previous solutions. Differences between the new estimated results and the previous solutions vary from -3% and -11%, with the new estimates being consistently but marginally or slightly lower than the previous solution values. Though the differences appear to be small, they are significant because the durability of gears is strongly influenced by the contact stress. For example, a 5% reduction in contact stress may result in almost 50% increase in durability in some steel materials. The equations developed do not apply to bevel crown gears.
format	article
author	Osakue Edward E. Anetor Lucky Harris Kendall
author_facet	Osakue Edward E. Anetor Lucky Harris Kendall
author_sort	Osakue Edward E.
title	Contact stress in helical bevel gears
title_short	Contact stress in helical bevel gears
title_full	Contact stress in helical bevel gears
title_fullStr	Contact stress in helical bevel gears
title_full_unstemmed	Contact stress in helical bevel gears
title_sort	contact stress in helical bevel gears
publisher	University of Belgrade - Faculty of Mechanical Engineering, Belgrade
publishDate	2021
url	https://doaj.org/article/e583c36bb8794929b0a10ec631ccb53e
work_keys_str_mv	AT osakueedwarde contactstressinhelicalbevelgears AT anetorlucky contactstressinhelicalbevelgears AT harriskendall contactstressinhelicalbevelgears
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Contact stress in helical bevel gears

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