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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:[email protected]

Abstract

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This work presents the dynamic modeling of ball bearing which uses multibody dynamicformalism. Such formalism allows immediate integration of the model in dynamic simulationsof helicopter main gear boxes. Ball bearing is considered non-lubricated in order topredict its behavior in case of lubrication system failure. Rolling contacts are treatedwith the method proposed by Kalker. This approach is based on polynomial approximation ofrelative displacement on the contact ellipse. For low computational cost and without anyspatial 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 tofacilitate the global convergence of the Newton iterative process. It is well suited formultibody 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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