Contributions à la modélisation simplifiée de la mécanique des contacts roulants

Chevalier, Luc; Cloupet, Sylvain; Eddhahak-Ouni, Anissa

doi:10.1051/meca:2006030

Cited by 6 publications

(6 citation statements)

References 10 publications

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“…A simplified approach based on Kalker linear creep theory is compared to an exact approach by Chevalier [16]. This model needs very low computational cost.…”

Section: Kalker Linear Creep Theorymentioning

confidence: 99%

“…Then, the model developed combines linear creep theory and regularization functions in order to get a fast and accurate rolling contact model. It is summed up in (16).…”

Section: Regularized Kalker Linear Creep Theorymentioning

confidence: 99%

“…A simplified model, based on a regularization of Kalker linear theory has been developed in order to facilitate the convergence of the global nonlinear dynamic resolution. Rolling contact model deriving from Kalker linear theory has been studied [16].…”

Section: Introductionmentioning

confidence: 99%

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Multibody modeling of non-planar ball bearings

Bovet

Linares

Zamponi³

et al. 2013

Mechanics & Industry

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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. Key words: Multibody dynamic / Ball bearing / Rolling contact / Kalker creep theoryRésumé -Cetteétude présente un modèle dynamique de roulementà billes utilisant le formalisme de la dynamique multicorps. Ce dernier permet l'intégration immédiate du modèle dans les simulations dynamiques de boîtes de transmission de puissance d'hélicoptères. Le roulement est considéré non lubrifié afin de prédire son comportement en cas de défaillance du système de lubrification. Le modèle mis en place pour les contacts roulants pseudo-ponctuels, issu des travaux de J.J. Kalker, se fonde sur une approximation polynomiale du déplacement relatif sur l'ellipse de contact. Ce dernier fournit, pour un temps de calcul réduit et sans discrétisation spatiale, une bonne estimation des efforts et micro-glissements au contact. Aussi, une régularisation de la théorie linéaire de Kalker est proposée. Elle est utilisée pour faciliter la convergence globale de l'algorithme de Newton. Elle estégalement bien adaptée aux simulations dynamiques multicorps qui ne nécessitent pas une modélisation très fine du contact roulant. Un roulementà billes soumisà un effort axial est présenté comme exemple numérique.

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“…A simplified approach based on Kalker linear creep theory is compared to an exact approach by Chevalier [16]. This model needs very low computational cost.…”

Section: Kalker Linear Creep Theorymentioning

confidence: 99%

“…Then, the model developed combines linear creep theory and regularization functions in order to get a fast and accurate rolling contact model. It is summed up in (16).…”

Section: Regularized Kalker Linear Creep Theorymentioning

confidence: 99%

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Multibody modeling of non-planar ball bearings

Bovet

Linares

Zamponi³

et al. 2013

Mechanics & Industry

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“…It is therefore important to take the mechanical quantities at interface: contact pressure, tangential stress due to friction between two solids, the material parameters, etc ... We place ourselves in case where the steel materials in contact have elastic deformation and wear which is generated by removal of material. We do not present modeling in this article that is widely described in the work of [4], [8], [10][11] that use [12][13][14].…”

Section: Structural Reliability Approachmentioning

confidence: 99%

Reliability estimation from test data using two different approaches

Hersant¹,

Cloupet²,

Guérin³

et al. 2012

2012 Proceedings Annual Reliability and Maintainability Symposium

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This paper compares two different approaches to estimate the reliability of mechanical components subject to degradation (wear, fatigue, etc.). This estimate is realized by considering the degradation drift (periodic or continuous measurement of the degradation level) from tests or exploitation. Two approaches are presented in this article. The first approach is based on a deterministic mechanical model given by the study of physical facts coupled with a Monte Carlo simulation to propagate the uncertainties of input parameters on the degradation. The second approach, based on the stochastic process, uses the Wiener process to model the evolution of degradation over time. A nonlinear formulation is developed in this paper. We compare these two approaches on an industrial case: the wear in rolling contact. The drift of degradation is estimated by the two approaches. We then calculate the failure distribution and associated reliability. Analysis of the results obtained with both approaches is made to discuss the advantages and disadvantages of each.

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“…Dans [29] pour le contact came-galet et dans [27,30] pour le contact roue-rail, les auteurs montrent que pour obtenir une bonne corrélation avec les résultats du logiciel CONTACT ou les résultats d'une modélisation par la méthode des éléments finis, il est nécessaire de lisser ou diffuser les courbures. La méthode de diffusion choisie est la méthode des éléments diffus [31].…”

Section: Résolution Du Problème De Contactunclassified

Simulation probabiliste de l'usure dans les contacts roulants sous charges

Cloupet¹,

Chevalier

Chollet³

2007

Mécanique & Industries

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The study presented in this paper deals with the wear phenomena which occurs during loaded rolling contact in industrial machinery. The local deformation of the local contact zone associated to the existence of tangential load generates micro slips and superficial wear. This damage leads to machinery diseases, for example in cam-roller system the kinetic of the machine may not be as smooth as initially needed. As a complement of the previous presentation in [1] authors shows simulation of the wear profile which is due to successive passages of the roller on the cam path. This simulation is managed taking into account the dispersion of not well known parameters by a stochastic approach. These methods may be applied to other mechanical applications such as roller bearing analysis, for example. In this paper, we restrict our study to the quasi-stationary of a roller on a cylindrical specimen case where normal load, geometry and speed are constant during simulation. The study takes into account experimental dispersions via the construction of probabilistic density function associated with uncertain parameters such as the relative position of solids or contact characteristics such as the coefficient of friction μ.

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Contributions à la modélisation simplifiée de la mécanique des contacts roulants

Cited by 6 publications

References 10 publications

Multibody modeling of non-planar ball bearings

Multibody modeling of non-planar ball bearings

Reliability estimation from test data using two different approaches

Simulation probabiliste de l'usure dans les contacts roulants sous charges

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