Fast modeling of conjugate gear tooth profiles using discrete presentation by involute segments

Spitas, V; Costopoulos, T; Spitas, C

dc.contributor.author	Spitas, V	en
dc.contributor.author	Costopoulos, T	en
dc.contributor.author	Spitas, C	en
dc.date.accessioned	2014-03-01T01:26:21Z
dc.date.available	2014-03-01T01:26:21Z
dc.date.issued	2007	en
dc.identifier.issn	0094-114X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18031
dc.subject	Computational method	en
dc.subject	Gear modeling	en
dc.subject	Involute	en
dc.subject	Local-involute	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Computational methods	en
dc.subject.other	Computer simulation	en
dc.subject.other	Electric machine theory	en
dc.subject.other	Iterative methods	en
dc.subject.other	Problem solving	en
dc.subject.other	Wheels	en
dc.subject.other	Actual tooth flank	en
dc.subject.other	Gear modeling	en
dc.subject.other	Involute	en
dc.subject.other	Local-involute	en
dc.subject.other	Gear teeth	en
dc.title	Fast modeling of conjugate gear tooth profiles using discrete presentation by involute segments	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.mechmachtheory.2006.05.007	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.mechmachtheory.2006.05.007	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	This paper introduces the method of the discretization of the gear tooth flank in involute segments for the determination of conjugate gear tooth profiles. Instead of following a point-to-point analytical approach to the problem of determining the path of contact and the geometry of the generating rack and the mating wheel, the actual tooth flank is considered to be composed of infinitesimal local involutes and therefore a closed solution can be achieved. Due to its simplicity, the method is faster than the standard theory of gearing and this is particularly useful in problems requiring iterative calculations of the tooth geometry such as gear optimization. The method is implemented on modified involute as well as loboid gears used in lobe pumps and it is verified against existing theories. (C) 2006 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Mechanism and Machine Theory	en
dc.identifier.doi	10.1016/j.mechmachtheory.2006.05.007	en
dc.identifier.isi	ISI:000246822900007	en
dc.identifier.volume	42	en
dc.identifier.issue	6	en
dc.identifier.spage	751	en
dc.identifier.epage	762	en