Research Papers: Elastohydrodynamic Lubrication

Influence of the Balls Kinematics of Axially Loaded Ball Bearings on Coulombic Frictional Dissipations

[+] Author and Article Information
Jean-Luc Bozet

Faculty of Applied Sciences,
Cryotribology, Department of
Chemical Engineering,
University of Liège,
Quartier Agora, allée du six Août 13,
Liège 4000, Belgium
e-mail: jlbozet@ulg.ac.be

Christophe Servais

Faculty of Applied Sciences,
Cryotribology, Department of
Chemical Engineering,
University of Liège,
Quartier Agora, allée du six Août 13,
Liège 4000, Belgium
e-mail: c.servais@ulg.ac.be

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received July 9, 2015; final manuscript received December 2, 2015; published online June 15, 2016. Assoc. Editor: Dong Zhu.

J. Tribol 139(1), 011502 (Jun 15, 2016) (9 pages) Paper No: TRIB-15-1248; doi: 10.1115/1.4032968 History: Received July 09, 2015; Revised December 02, 2015

Ball bearings have been used for a long time. Nevertheless, the description of their behavior remains incomplete in spite of the large number of surveys dedicated to ball bearings. Particularly, the exact balls kinematics has still to be addressed in depth. This paper proposes a new way to calculate the balls kinematics by using a simplified quasi-static approach for dry lubricated and axially loaded ball bearings. This method does not use the classical restrictive race control assumptions. More specifically, the role played by the balls kinematics is emphasized by means of the power dissipated within contacts between balls and races. The need for a correct evaluation of the balls behavior is illustrated by using an example, viz., a ball bearing of cryogenic engine turbopump. Indeed, the dissipated power is one of the main concerns in this particular case.

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Fig. 4

Kinematical variables used for the ball/inner ring interaction

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Fig. 3

Kinematical variables used for the ball/outer ring interaction

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Fig. 2

Kinematics of a ball, plane OBOSB

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Fig. 1

Kinematics of a ball

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Fig. 5

Internal representation of the ball bearing when the inner ring is loaded and rotating

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Fig. 7

Resulting moments due to contact interactions

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Fig. 6

Resulting loads at contacts I and E

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Fig. 8

Evolution of the contact angles as a function of the axial loading and the rotational speed

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Fig. 9

Ball bearing geometrical parameters

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Fig. 10

Evolution of the ball bearing geometry

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Fig. 11

Evolution of the race control sharing angle and the contact angles as a function of ωI

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Fig. 12

Dissipated power within contact I as a function of ωI

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Fig. 13

Dissipated power within contact E as a function of ωI

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Fig. 14

Error performed on the power dissipated within contact I as a function of ωI

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Fig. 15

Error performed on the power dissipated within contact E as a function of ωI



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