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Stress optimization and study of the sensitivity to geometricvariations of a spur gear tooth profile

Published online by Cambridge University Press:  02 April 2013

David Guyonneau ,
Emmanuel Mermoz ,
Jean Mailhé ,
Jean-Michel Sprauel  and
Jean-Marc Linares
David Guyonneau*
Affiliation:
Aix Marseille Université, CNRS, ISM UMR 7287, 13288, Marseille Cedex 09, France EUROCOPTER, Aéroport Internationale Marseille Provence, 13725 Marignane, France
Emmanuel Mermoz
Affiliation:
EUROCOPTER, Aéroport Internationale Marseille Provence, 13725 Marignane, France
Jean Mailhé
Affiliation:
Aix Marseille Université, CNRS, ISM UMR 7287, 13288, Marseille Cedex 09, France
Jean-Michel Sprauel
Affiliation:
Aix Marseille Université, CNRS, ISM UMR 7287, 13288, Marseille Cedex 09, France
Jean-Marc Linares
Affiliation:
Aix Marseille Université, CNRS, ISM UMR 7287, 13288, Marseille Cedex 09, France
*
a Corresponding author:[email protected]
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Abstract

This paper presents an approach for obtaining an optimized geometry for the flank of atooth by minimizing the equivalent contact stress. The stress calculation method is basedon Hertz theory. As the majority of tooth profiles are involute, the geometric variationof the flank of the tooth is achieved variationally relative to the involute profile. Theoptimum profile is obtained by Monte Carlo simulation. During this optimization, apolynomial expression of the tooth geometry is used. The parameters influencing thesimulation are the four characteristic contact points. The approach presented has beenapplied in a representative case. A study of the geometric sensitivity was conducted onthe optimized tooth profile. Two different approaches were considered: by Monte Carlosimulation and analytical propagation. The robust and linear nature of the behavior of thetooth profile was demonstrated when it was subjected to geometric variations.

Keywords

Spur GearTooth profileTooth Contact Analysis (T.C.A.)Monte Carlo simulationUncertaintyEngrenages cylindriquesProfil de dentureTooth Contact Analysis (T.C.A.)Simulation de Monte CarloIncertitudes
Type
Research Article
Information
Mechanics & Industry , Volume 14 , Issue 1 , 2013 , pp. 31 - 41
Copyright
© AFM, EDP Sciences 2013

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