Fast unconditionally stable 2-D analysis of non-conjugate gear contacts using an explicit formulation of the meshing equations

Spitas, C; Spitas, V

dc.contributor.author	Spitas, C	en
dc.contributor.author	Spitas, V	en
dc.date.accessioned	2014-03-01T01:35:45Z
dc.date.available	2014-03-01T01:35:45Z
dc.date.issued	2011	en
dc.identifier.issn	0094-114X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21171
dc.subject	Contact analysis	en
dc.subject	Geneva gears	en
dc.subject	Initial value selection	en
dc.subject	Modified involute gears	en
dc.subject	Non-conjugate contact	en
dc.subject	Numerical stability	en
dc.subject	Transmission error	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Contact analysis	en
dc.subject.other	Geneva gears	en
dc.subject.other	Initial value selection	en
dc.subject.other	Involute gear	en
dc.subject.other	Non-conjugate contact	en
dc.subject.other	Numerical stabilities	en
dc.subject.other	Transmission error	en
dc.subject.other	Numerical methods	en
dc.subject.other	Gear teeth	en
dc.title	Fast unconditionally stable 2-D analysis of non-conjugate gear contacts using an explicit formulation of the meshing equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.mechmachtheory.2011.02.010	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.mechmachtheory.2011.02.010	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	Computerised analysis of the contact of gear teeth is currently dependent on numerical solution techniques involving implicit multi-equation systems. These present inherent convergence problems when the initial values are not close enough to the real solution and require significant computational effort. Here a comprehensive new solution is presented using a modified form for the fundamental gear meshing equations in two dimensions. This formulation allows the analytical reduction of the system of meshing equations to a single scalar equation, which is solved using a fast unconditionally stable numerical method. The need for careful determination of initial values for the numerical solution is eliminated and test runs on real gear geometries verify solution accuracy, stability and speed. Application of the algorithm to profile-modified involute gears and Geneva-type mechanisms and related results are shown. (C) 2011 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.2011.02.010	en
dc.identifier.isi	ISI:000289717200003	en
dc.identifier.volume	46	en
dc.identifier.issue	7	en
dc.identifier.spage	869	en
dc.identifier.epage	879	en