A differential evolution algorithm for tooth profile optimization with respect to balancing specific sliding coefficients of involute cylindrical spur and helical gears

Profile shift has an immense effect on the sliding, load capacity, and stability of involute cylindrical gears. Available standards such as ISO/DIS 6336 and BS 436 DIN/3990 currently give the recommendation for the selection of profile shift coefficients. It is, however, very approximate and usually...

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Main Authors: Hammoudi Abderazek, Djeddou Ferhat, Ivana Atanasovska, Keskes Boualem
Format: Article
Language:English
Published: SAGE Publishing 2015-09-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/1687814015605008
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author Hammoudi Abderazek
Djeddou Ferhat
Ivana Atanasovska
Keskes Boualem
author_facet Hammoudi Abderazek
Djeddou Ferhat
Ivana Atanasovska
Keskes Boualem
author_sort Hammoudi Abderazek
collection DOAJ
description Profile shift has an immense effect on the sliding, load capacity, and stability of involute cylindrical gears. Available standards such as ISO/DIS 6336 and BS 436 DIN/3990 currently give the recommendation for the selection of profile shift coefficients. It is, however, very approximate and usually given in the form of implicit graphs or charts. In this article, the optimal selection values of profile shift coefficients for cylindrical involute spur and helical gears are described, using a differential evolution algorithm. The optimization procedure is developed specifically for exact balancing specific sliding coefficients at extremes of contact path and account for gear design constraints. The obtained results are compared with those of standards and research of other authors. They demonstrate the effectiveness and robustness of the applied method. A substantial improvement in balancing specific sliding coefficients is found in this work.
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spelling doaj.art-03fb49adfdc1410482e179b80c3675f12022-12-21T23:53:43ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402015-09-01710.1177/168781401560500810.1177_1687814015605008A differential evolution algorithm for tooth profile optimization with respect to balancing specific sliding coefficients of involute cylindrical spur and helical gearsHammoudi Abderazek0Djeddou Ferhat1Ivana Atanasovska2Keskes Boualem3Applied Precision Mechanics Laboratory, Institute of Optics and Precision Mechanics, Setif -1- University, Setif, AlgeriaApplied Precision Mechanics Laboratory, Institute of Optics and Precision Mechanics, Setif -1- University, Setif, AlgeriaInnovation Center, Faculty of Mechanical Engineering, University of Belgrade, Belgrade, SerbiaApplied Precision Mechanics Laboratory, Institute of Optics and Precision Mechanics, Setif -1- University, Setif, AlgeriaProfile shift has an immense effect on the sliding, load capacity, and stability of involute cylindrical gears. Available standards such as ISO/DIS 6336 and BS 436 DIN/3990 currently give the recommendation for the selection of profile shift coefficients. It is, however, very approximate and usually given in the form of implicit graphs or charts. In this article, the optimal selection values of profile shift coefficients for cylindrical involute spur and helical gears are described, using a differential evolution algorithm. The optimization procedure is developed specifically for exact balancing specific sliding coefficients at extremes of contact path and account for gear design constraints. The obtained results are compared with those of standards and research of other authors. They demonstrate the effectiveness and robustness of the applied method. A substantial improvement in balancing specific sliding coefficients is found in this work.https://doi.org/10.1177/1687814015605008
spellingShingle Hammoudi Abderazek
Djeddou Ferhat
Ivana Atanasovska
Keskes Boualem
A differential evolution algorithm for tooth profile optimization with respect to balancing specific sliding coefficients of involute cylindrical spur and helical gears
Advances in Mechanical Engineering
title A differential evolution algorithm for tooth profile optimization with respect to balancing specific sliding coefficients of involute cylindrical spur and helical gears
title_full A differential evolution algorithm for tooth profile optimization with respect to balancing specific sliding coefficients of involute cylindrical spur and helical gears
title_fullStr A differential evolution algorithm for tooth profile optimization with respect to balancing specific sliding coefficients of involute cylindrical spur and helical gears
title_full_unstemmed A differential evolution algorithm for tooth profile optimization with respect to balancing specific sliding coefficients of involute cylindrical spur and helical gears
title_short A differential evolution algorithm for tooth profile optimization with respect to balancing specific sliding coefficients of involute cylindrical spur and helical gears
title_sort differential evolution algorithm for tooth profile optimization with respect to balancing specific sliding coefficients of involute cylindrical spur and helical gears
url https://doi.org/10.1177/1687814015605008
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