Étude des méthodes de calcul des pressions de contact dans les roulements à pistes intégrées des boîtes de transmission aéronautiques

Zamponi, Laurent; Mermoz, Emmanuel; Linares, Jean‐Marc

doi:10.1051/meca:2007081

Cited by 4 publications

(7 citation statements)

References 11 publications

(11 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(14) and (15) are written in the particular angular position of the moving part. In relationships (14) and (15), the term d xx 0 represents the difference between the real diameter and the nominal diameter at the contact point for the inner and outer raceways.…”

Section: Processing Of the Resultsmentioning

confidence: 99%

“…This method was validated in [15] and [16], by comparison with Harris method [6] for the case of a ball bearing with rigid raceways. This method is applied in a helicopter gearbox modelling.…”

Section: Resultsmentioning

confidence: 99%

“…On average, for integrated raceway bearings used in helicopters: 70% of the relative displacement between the inner and outer raceways is due to local contact deformation between the rolling elements / raceways, 20% to deformation of the outer raceway and the housing, and 10% to deformation of the shaft (integrated inner raceway). Our previous work [15,16], shows and details two methodologies which can be used to study integrated raceway bearings designed for helicopter gearboxes. A numerical method based on FEM, managing the contacts between the raceways and the rolling elements was studied.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Impact of geometrical defects on bearing assemblies with integrated raceways in aeronautical gearboxes

Zamponi¹,

Mermoz²,

Linares

et al. 2009

Mechanism and Machine Theory

View full text Add to dashboard Cite

International audienceThis paper presents a methodology to calculate the contact pressures on the rolling elements and other significant parameters applicable to raceway bearings used in aeronautical helicopter gearboxes. The mechanism is modelled by a hybrid method where the parts are decomposed in finite elements and the bearings are described by substitution features. This hybrid method accounts for the flexibility of the parts as well as geometrical defects. In this method, the contacts between rolling element and raceways are solved analytically. The Hertz contact theory is used to calculate the contact behaviour. The geometrical defects are included in the model thus changing the value of local displacements. Our paper shows the impact of the flexibility of the different mechanical parts and its geometrical defects, on the behaviour of the bearing raceways. Three most important conclusions are brought to the fore. First the load distribution in the bearing is modified by the flexibility of the parts and the bearing raceways. Second, positioning defects in our assemblies have insignificant effect on the bearing service life. Third orientation defects increase the pressure in roller bearings and the balls orbital speed variation in ball bearings

show abstract

Section: Processing Of the Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Impact of geometrical defects on bearing assemblies with integrated raceways in aeronautical gearboxes

Zamponi¹,

Mermoz²,

Linares

et al. 2009

Mechanism and Machine Theory

View full text Add to dashboard Cite

show abstract

“…The normal load F n is linked with the contact deflection δ by (8). k h is the contact rigidity which depends on curvatures of contacting surfaces and material properties of contacting bodies.…”

Section: Rolling Contact Modelmentioning

confidence: 99%

“…Notable works include quasi-static analysis [1] and dynamic analysis with the well-known environment cannot be neglected. For instance, misalignment induced by housing deformation may cause damages to rolling bearings and a premature failure [8].…”

Section: Introductionmentioning

confidence: 99%

Multibody modeling of non-planar ball bearings

Bovet

Linares

Zamponi³

et al. 2013

Mechanics & Industry

Self Cite

View full text Add to dashboard Cite

-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.

show abstract

An approach for predicting the internal behaviour of ball bearings under high moment load

Bovet

Zamponi

2016

Mechanism and Machine Theory

Self Cite

View full text Add to dashboard Cite

This paper presents a modelling approach for predicting the internal dynamic behaviour of ball bearings under high moment loads. This type of loading is a specific feature of helicopter main gear boxes because of special design rules and the high structural flexibility of such systems. The ball bearing model proposed here is not limited to planar systems and incorporates several different phenomena such as contact deformation, elastohydrodynamic contact, internal clearance and cage run-out. The cage-race interaction is treated as a hybrid short journal model, which ensures continuity of the contact force at the transition from the hydrodynamic to metal-to-metal regime. In the dynamic analysis of such a severely loaded bearing, the dependence of the shaft-to-inner-ring force on inner race position cannot be neglected. An equivalent viscoelastic hinge joint has been developed, it produces an additional force that represents the overall rigidity of the system. The stiffness parameters of the joint are identified using global finite element simulations. A ball bearing loaded with two different moments is chosen as an example. Relevant results concerning the internal dynamic behaviour are given. The predicted cage trajectory has been compared to experimental observations, and good agreement has been found.

show abstract

Étude des méthodes de calcul des pressions de contact dans les roulements à pistes intégrées des boîtes de transmission aéronautiques

Cited by 4 publications

References 11 publications

Impact of geometrical defects on bearing assemblies with integrated raceways in aeronautical gearboxes

Impact of geometrical defects on bearing assemblies with integrated raceways in aeronautical gearboxes

Multibody modeling of non-planar ball bearings

An approach for predicting the internal behaviour of ball bearings under high moment load

Contact Info

Product

Resources

About