Direct analytical solution of the inverse gear tooth contact analysis problem

Spitas, C; Costopoulos, Th; Spitas, V

dc.contributor.author	Spitas, C	en
dc.contributor.author	Costopoulos, Th	en
dc.contributor.author	Spitas, V	en
dc.date.accessioned	2014-03-01T01:28:09Z
dc.date.available	2014-03-01T01:28:09Z
dc.date.issued	2008	en
dc.identifier.issn	1741-5977	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18738
dc.subject	Analytical solution	en
dc.subject	Explicit solution	en
dc.subject	Gear	en
dc.subject	Inverse tooth contact analysis	en
dc.subject	TCA	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Error analysis	en
dc.subject.other	Inverse problems	en
dc.subject.other	Analytical solution	en
dc.subject.other	Explicit solution	en
dc.subject.other	Inverse tooth contact analysis	en
dc.subject.other	Transmission errors	en
dc.subject.other	Gear teeth	en
dc.title	Direct analytical solution of the inverse gear tooth contact analysis problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/17415970701256486	en
heal.identifier.secondary	http://dx.doi.org/10.1080/17415970701256486	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	Despite the advances in gear tooth contact analysis and the existence of many competent theories, the fundamental inverse problem of determining the gear profile form that produces a desired kinematical response, or function of transmission errors, remains to be solved. This is because the usually employed form of the equations governing tooth contact is so complex and implicit, that it is impossible to solve inversely. To bypass this handicap, current design methodologies have to rely on indirect calculations, often requiring substantial computational effort. Here, a new more versatile formulation of the fundamental surface contact equations is proposed, leading to a set of meshing equations that allows the direct analytical solution of the inverse problem. The solution itself is in elegant vector-matrix form and it is explicit and fast. Applications of the proposed solution are discussed.	en
heal.publisher	TAYLOR & FRANCIS LTD	en
heal.journalName	Inverse Problems in Science and Engineering	en
dc.identifier.doi	10.1080/17415970701256486	en
dc.identifier.isi	ISI:000256095900004	en
dc.identifier.volume	16	en
dc.identifier.issue	2	en
dc.identifier.spage	171	en
dc.identifier.epage	186	en