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Multibody modeling of non-planar ball bearings

Published online by Cambridge University Press:  18 December 2013

Christophe Bovet ,
Jean-Marc Linares ,
Laurent Zamponi  and
Emmanuel Mermoz
Christophe Bovet*
Affiliation:
Aix-Marseille Université, CNRS, ISM UMR 7287, 13288 Marseille Cedex 09, France Eurocopter, Aéroport International Marseille Provence, 13725 Marignane, France
Jean-Marc Linares
Affiliation:
Aix-Marseille Université, CNRS, ISM UMR 7287, 13288 Marseille Cedex 09, France
Laurent Zamponi
Affiliation:
Eurocopter, Aéroport International Marseille Provence, 13725 Marignane, France
Emmanuel Mermoz
Affiliation:
Eurocopter, Aéroport International Marseille Provence, 13725 Marignane, France
*
⋆ Corresponding author: christophe.bovet@etu.univ-amu.fr

Abstract

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This work presents the dynamic modeling of ball bearing which uses multibody dynamic formalism. Such formalism allows immediate integration of the model in dynamic simulations of helicopter main gear boxes. Ball bearing is considered non-lubricated in order to predict its behavior in case of lubrication system failure. Rolling contacts are treated with the method proposed by Kalker. This approach is based on polynomial approximation of relative displacement on the contact ellipse. For low computational cost and without any spatial discretization, it gives a good estimation of tangential traction and creep. Also, a regularization of the Kalker linear creep theory is proposed. It is used here to facilitate the global convergence of the Newton iterative process. It is well suited for multibody dynamic simulations which do not need a very fine treatment of rolling contact. A numerical example of a ball bearing under thrust load is presented.

Keywords

Multibody dynamicBall bearingRolling contactKalker creep theoryDynamique multicorpsRoulement à billeContact roulantTheorie de Kalker
Type
Research Article
Information
Mechanics & Industry , Volume 14 , Issue 5 , 2013 , pp. 335 - 345
Copyright
© AFM, EDP Sciences 2013

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