Two Mathematical Models for Generation of Crowned Tooth Surface

Two Mathematical Models for Generation of Crowned Tooth Surface

Gear couplings are mechanical components to connect shaft ends and eliminate the misalignments. The most important element of the gear coupling is the hub which is an external gear having crowned teeth. The crowned teeth on the hub are typically produced by hobbing. The resulting tooth surface depen...

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Main Authors: Laszlo Kelemen, Jozsef Szente
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/641091
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spelling doaj-aa97fb8769414ceb99355c6fa64d12752020-11-25T00:54:57ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/641091641091Two Mathematical Models for Generation of Crowned Tooth SurfaceLaszlo Kelemen0Jozsef Szente1University of Miskolc, Egyetemvaros, Miskolc 3515, HungaryUniversity of Miskolc, Egyetemvaros, Miskolc 3515, HungaryGear couplings are mechanical components to connect shaft ends and eliminate the misalignments. The most important element of the gear coupling is the hub which is an external gear having crowned teeth. The crowned teeth on the hub are typically produced by hobbing. The resulting tooth surface depends on several parameters. It is influenced by the size of the hob and the feed. In this paper two mathematical models of the crowned tooth surface are introduced for the generation of the idealized tooth surfaces. These are the profile-shifting and the two-parameter enveloping methods. Our aim is to compare the obtained crowned tooth profiles for the two examined models and to investigate the results. From our numerical results, it was found that the two profiles show indistinguishable differences.http://dx.doi.org/10.1155/2014/641091
collection DOAJ
language English
format Article
sources DOAJ
author Laszlo Kelemen
Jozsef Szente
spellingShingle Laszlo Kelemen
Jozsef Szente
Two Mathematical Models for Generation of Crowned Tooth Surface
The Scientific World Journal
author_facet Laszlo Kelemen
Jozsef Szente
author_sort Laszlo Kelemen
title Two Mathematical Models for Generation of Crowned Tooth Surface
title_short Two Mathematical Models for Generation of Crowned Tooth Surface
title_full Two Mathematical Models for Generation of Crowned Tooth Surface
title_fullStr Two Mathematical Models for Generation of Crowned Tooth Surface
title_full_unstemmed Two Mathematical Models for Generation of Crowned Tooth Surface
title_sort two mathematical models for generation of crowned tooth surface
publisher Hindawi Limited
series The Scientific World Journal
issn 2356-6140
1537-744X
publishDate 2014-01-01
description Gear couplings are mechanical components to connect shaft ends and eliminate the misalignments. The most important element of the gear coupling is the hub which is an external gear having crowned teeth. The crowned teeth on the hub are typically produced by hobbing. The resulting tooth surface depends on several parameters. It is influenced by the size of the hob and the feed. In this paper two mathematical models of the crowned tooth surface are introduced for the generation of the idealized tooth surfaces. These are the profile-shifting and the two-parameter enveloping methods. Our aim is to compare the obtained crowned tooth profiles for the two examined models and to investigate the results. From our numerical results, it was found that the two profiles show indistinguishable differences.
url http://dx.doi.org/10.1155/2014/641091
work_keys_str_mv AT laszlokelemen twomathematicalmodelsforgenerationofcrownedtoothsurface
AT jozsefszente twomathematicalmodelsforgenerationofcrownedtoothsurface
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