Optimum gear tooth geometry for minimum fillet stress using BEM and experimental verification with photoelasticity

Spitas, VA; Costopoulos, TN; Spitas, CA

dc.contributor.author	Spitas, VA	en
dc.contributor.author	Costopoulos, TN	en
dc.contributor.author	Spitas, CA	en
dc.date.accessioned	2014-03-01T01:24:49Z
dc.date.available	2014-03-01T01:24:49Z
dc.date.issued	2006	en
dc.identifier.issn	1050-0472	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17453
dc.subject	BEM	en
dc.subject	Complex algorithm	en
dc.subject	Optimization	en
dc.subject	Photoelasticity	en
dc.subject	Root stress	en
dc.subject	Spur gears	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Algorithms	en
dc.subject.other	Interpolation	en
dc.subject.other	Mathematical models	en
dc.subject.other	Optimization	en
dc.subject.other	Photoelasticity	en
dc.subject.other	Spur gears	en
dc.subject.other	Stresses	en
dc.subject.other	Torque	en
dc.subject.other	Complex algorithm	en
dc.subject.other	Fillet stress	en
dc.subject.other	Root stress	en
dc.subject.other	Gear teeth	en
dc.title	Optimum gear tooth geometry for minimum fillet stress using BEM and experimental verification with photoelasticity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1115/1.2216731	en
heal.identifier.secondary	http://dx.doi.org/10.1115/1.2216731	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	This paper introduces the concept of nondimensional gear teeth to be used in gear stress minimization problems. The proposed method of modeling reduces the computational time significantly when compared to other existing methods by essentially reducing the total number of design variables. Instead of modeling the loaded gear tooth and running BEA to calculate the maximum root stress at every iterative step of the optimization procedure, the stress is calculated by interpolation of tabulated values, which were calculated previously by applying the BEM on nondimensional models corresponding to different combinations of the design parameters. The complex algorithm is used for the optimization and the root stresses of the optimum gears are compared with the stresses of the standard gears for the same transmitted torque. Reduction in stress up to 36.5% can be achieved in this way. This reduction in stress has been confirmed experimentally with two-dimensional photoelasticity. Copyright © 2006 by ASME.	en
heal.publisher	ASME-AMER SOC MECHANICAL ENG	en
heal.journalName	Journal of Mechanical Design, Transactions of the ASME	en
dc.identifier.doi	10.1115/1.2216731	en
dc.identifier.isi	ISI:000240298000013	en
dc.identifier.volume	128	en
dc.identifier.issue	5	en
dc.identifier.spage	1159	en
dc.identifier.epage	1164	en