This paper addresses the definition of robust profile modifications in spur and helical gears. An original methodology is introduced which relies on closed-form analytical results on transmission errors combined with a gradient descent algorithm and a Gauss quadrature (GQ) based full factorial method. The results compare very well with those delivered by using classic Monte Carlo simulations with a considerable gain in computational time. The influence of the probability distribution law for the design parameters (depth and extent of modification) is analyzed along with the contribution of gear quality grade and load variation. Some optimum robust linear relief is presented which minimizes transmission error fluctuations over a broad range of loads even in the presence of significant geometrical tolerances.
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e-mail: dhafer.ghribi@insa-lyon.fr
e-mail: jerome.bruyere@insa-lyon.fr
e-mail: philippe.velex@insa-lyon.fr
e-mail: Michel.Octrue@cetim.fr
e-mail: mohamed.haddar@enis.rnu.tn
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June 2012
Research Papers
A Contribution to the Design of Robust Profile Modifications in Spur and Helical Gears by Combining Analytical Results and Numerical Simulations
D. Ghribi,
e-mail: dhafer.ghribi@insa-lyon.fr
D. Ghribi
Université de Lyon
, INSA Lyon, LaMCoS, UMR CNRS 5259, Bâtiment Jean d’Alembert, 20 Avenue Albert Einstein, 69 621 Villeurbanne Cédex, France
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J. Bruyère,
e-mail: jerome.bruyere@insa-lyon.fr
J. Bruyère
Université de Lyon
, INSA Lyon, LaMCoS, UMR CNRS 5259, Bâtiment Jean d’Alembert, 20 Avenue Albert Einstein, 69 621 Villeurbanne Cédex, France
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Ph. Velex,
e-mail: philippe.velex@insa-lyon.fr
Ph. Velex
Université de Lyon
, INSA Lyon, LaMCoS, UMR CNRS 5259, Bâtiment Jean d’Alembert, 20 Avenue Albert Einstein, 69 621 Villeurbanne Cédex, France
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M. Octrue,
M. Octrue
CETIM, Pôle d’Activités Mécatronique, Transmissions de Puissance et Capteurs (MEC), 60304 Senlis Cedex,
e-mail: Michel.Octrue@cetim.fr
France
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M. Haddar
e-mail: mohamed.haddar@enis.rnu.tn
M. Haddar
Université de Sfax
, Ecole Nationale d’Ingénieurs de Sfax, U2MP. BP. W. 3038, Sfax, Tunisia
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D. Ghribi
Université de Lyon
, INSA Lyon, LaMCoS, UMR CNRS 5259, Bâtiment Jean d’Alembert, 20 Avenue Albert Einstein, 69 621 Villeurbanne Cédex, France
e-mail: dhafer.ghribi@insa-lyon.fr
J. Bruyère
Université de Lyon
, INSA Lyon, LaMCoS, UMR CNRS 5259, Bâtiment Jean d’Alembert, 20 Avenue Albert Einstein, 69 621 Villeurbanne Cédex, France
e-mail: jerome.bruyere@insa-lyon.fr
Ph. Velex
Université de Lyon
, INSA Lyon, LaMCoS, UMR CNRS 5259, Bâtiment Jean d’Alembert, 20 Avenue Albert Einstein, 69 621 Villeurbanne Cédex, France
e-mail: philippe.velex@insa-lyon.fr
M. Octrue
CETIM, Pôle d’Activités Mécatronique, Transmissions de Puissance et Capteurs (MEC), 60304 Senlis Cedex,
France
e-mail: Michel.Octrue@cetim.fr
M. Haddar
Université de Sfax
, Ecole Nationale d’Ingénieurs de Sfax, U2MP. BP. W. 3038, Sfax, Tunisia
e-mail: mohamed.haddar@enis.rnu.tn
J. Mech. Des. Jun 2012, 134(6): 061011 (9 pages)
Published Online: May 18, 2012
Article history
Received:
February 8, 2012
Revised:
March 23, 2012
Published:
May 17, 2012
Online:
May 18, 2012
Citation
Ghribi, D., Bruyère, J., Velex, P., Octrue, M., and Haddar, M. (May 18, 2012). "A Contribution to the Design of Robust Profile Modifications in Spur and Helical Gears by Combining Analytical Results and Numerical Simulations." ASME. J. Mech. Des. June 2012; 134(6): 061011. https://doi.org/10.1115/1.4006740
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