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Research Article | Open Access

Measurement of the equivalent friction coefficients of ball bearings based on the variations in kinetic energy

Panlong Wu1Chunlei He1( )Zhiyang Ren1Qiang Feng2Guang Chen1Chengzu Ren1( )
Tianjin Key Laboratory of Equipment Design and Manufacturing Technology, Tianjin University, Tianjin 30054, China
Grease Branch of China Petrochemical Corporation, Tianjin 30054, China
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Abstract

Friction energy consumption is the primary cause of energy loss in rolling bearings, and friction characteristics are critical indicators of rolling bearing quality. To comprehensively understand the friction characteristics of ball bearings, the equivalent friction coefficient was proposed, and a reliable measurement method was studied. This new solution addressed the difficulty of measuring the friction characteristics of ball bearings highlighted by friction torque. The angular speeds of various components in the rolling bearings were derived using a quasistatic approach. The angular speed relationships among various components of the rolling bearings were subsequently analyzed. A kinetic energy dissipation model for the measuring system was ultimately obtained. A novel apparatus for measuring the rolling bearing equivalent friction coefficient was established. The spindle only underwent angular speed attenuation due to friction of the tested bearing without the use of power, and the variation in kinetic energy was monitored in real time with a high-precision speed sensor. After that, the equivalent friction coefficients of the measured bearings were examined. The effects of speed, load, and lubrication on the equivalent friction coefficient of the tested bearing were studied. The findings demonstrated that, to some extent, the equivalent friction coefficient increased with an increase in spindle speed and decreased with increasing load. The equivalent friction coefficient also increased with increasing kinematic viscosity of the lubrication oil, and the friction coefficient for dry friction was greater than that with 50 oil (with a kinematic viscosity of 50 mm2/s) but slightly lower than that with 70 oil (with a kinematic viscosity of 70 mm2/s). With this method, an accurate and comprehensive understanding of the friction characteristics of ball bearings is achieved.

References

[1]

Xia X T, Chen L. Fuzzy chaos method for evaluation of nonlinearly evolutionary process of rolling bearing performance. Measurement 46(3): 1349–1354 (2013)

[2]

Wu P L, He C L, Chang Z, Li X L, Ren Z Y, Li D Y, Ren C Z. Theoretical calculation models and measurement of friction torque for rolling bearings: State of the art. J Braz Soc Mech Sci 44(9): 435 (2022)

[3]
Harris T A, Kotzalas M N. Advanced Concepts of Bearing Technology: Rolling Bearing Analysis, 5th edn. Boca Raton (USA): CRC Press, 2006.
[4]

Fernandes C M C G, Martins R C, Seabra J H O. Friction torque of cylindrical roller thrust bearings lubricated with wind turbine gear oils. Tribol Int 59: 121–128 (2013)

[5]

Aihara S. A new running torque formula for tapered roller bearings under axial load. J Tribol—T ASME 109(3): 471–477 (1987)

[6]

Johnson K L, Todd M J. A model for coulomb torque hysteresis in ball bearings. Int J Mech Sci 29(5): 339–354 (1987)

[7]

Chen W H, Ma Z K, Gao L, Li X L, Pan J. Quasi-static analysis of thrust-loaded angular contact ball bearings part I: Theoretical formulation. Chin J Mech Eng 25(1): 71–80 (2012)

[8]

Chen W H, Ma Z K, Gao L, Li X L, Pan J. Quasi-static analysis of thrust-loaded angular contact ball bearings part II: Results and discussion. Chin J Mech Eng 25(1): 81–87 (2012)

[9]

Zhang C, Gu L, Mao Y Z, Wang L Q. Modeling the frictional torque of a dry-lubricated tapered roller bearing considering the roller skewing. Friction 7(6): 551–563 (2019)

[10]

Cyriac F, Lugt P M, Bosman R. Yield stress and low-temperature start-up torque of lubricating greases. Tribol Lett 63(1): 6 (2016)

[11]

Wrzochal M, Adamczak S, Domagalski R, Piotrowicz G, Wnuk S. New device proposed for industrial measurement of rolling bearing friction torque. Stroj Vestn—J Mech E 68(10): 610–622 (2022)

[12]
Matsuyama H, Kamamoto S, Asano K. The analysis of frictional torque for tapered roller bearings using EHD theory. SAE Technical Paper 982029 (1998)
[13]

Wang L Q, Zhang D Z, Wei Y Q. Study of friction moment measurement system of small rolling bearing. Journal of Harbin Institute of Technology 37: 161–163 (2005)

[14]

Hammami M, Martins R, Fernandes C, Seabra J, Abbes M S, Haddar M. Friction torque in rolling bearings lubricated with axle gear oils. Tribol Int 119: 419–435 (2018)

[15]

Blake J J, Truman C E. Measurement of running torque of tapered roller bearings. P I Mech Eng J—J-Eng 218(4): 239–250 (2004)

[16]
Hampson M R, Roberts E W, Watters R B. Speed dependence of bearing torque anomalous effects with grease lubrication. In: Proceedings of the 15th European Space Mechanisms and Tribology Symposium, Noordwijk, the Netherlands, 2013.
[17]

Paleu V, Damian I, Stirbu C. Friction torque measurement in partial hybrid S-C angular contact ball bearings. Appl Mech Mater 658: 339–344 (2014)

[18]

Geonea I, Dumitru N, Dumitru I. Experimental and theoretical study of friction torque from radial ball bearings. IOP Conf Ser—Mater Sci 252: 012048 (2017)

[19]
Goldman P, Petchenev A, Bently D E, Muszynska A. Torque and power loss in a cylindrical fluid-lubricated bearing/rotor system. In: Proceedings of the ASME 1996 International Gas Turbine and Aeroengine Congress and Exhibition, Birmingham, UK, 1996: 96-GT-408, V005T14A049.
[20]

Olaru D N, Stamate C, Dumitrascu A, Prisacaru G. New micro tribometer for rolling friction. Wear 271(5–6): 842–852 (2011)

[21]

Yang W X, Wang X L, Li H Q, Song X T. A novel tribometer for the measurement of friction torque in microball bearings. Tribol Int 114: 402–408 (2017)

[22]

Öztürk E, Yıldızlı K, Memmedov R, Ülgen A. Design of an experimental setup to determine the coefficient of static friction of the inner rings in contact with the outer rings of radial spherical plain bearings. Tribol Int 128: 161–173 (2018)

[23]

Jain A, Singh A, Singh A P. Effect of tribological parameters on sliding wear and friction coefficient which relates to preload loss in tapered roller bearing. Ind Lubr Tribol 71(1): 61–73 (2019)

[24]

Majdoub F, Mevel B. Kinematic equilibrium of rollers in tapered roller bearings. Tribol Trans 62(4): 567–579 (2019)

[25]

Bălan M R D, Stamate V C, Houpert L. The influence of the lubricant viscosity on the rolling friction torque. Tribol Int 72: 1–12 (2014)

[26]
Hamrock B J, Dowson D. Ball bearing lubrication: The elastohydrodynamic of elliptical contacts. New York (USA): John Wiley & Sons, 1981.
[27]

Tong V C, Hong S W. Improved formulation for running torque in angular contact ball bearings. Int J Precis Eng Manuf 19(1): 47–56 (2018)

[28]

Oktaviana L, Tong V C, Hong S W. Skidding analysis of angular contact ball bearing subjected to radial load and angular misalignment. J Mech Sci Technol 33(2): 837–845 (2019)

[29]

Liu J, Yan Z L, Shao Y M. An investigation for the friction torque of a needle roller bearing with the roundness error. Mech Mach Theory 121: 259–272 (2018)

[30]

Liu Y Q, Chen Z G, Li Y F, Zhai W M. Dynamic investigation and alleviative measures for the skidding phenomenon of lubricated rolling bearing under light load. Mech Syst Signal Process 184: 109685 (2023)

[31]
Houpert L. Numerical and analytical calculations in ball bearings. In: Proceedings of the 8th European Space Mechanisms and Tribology Symposium, Toulouse, France, 1999: 283.
[32]

Jones A B. Ball motion and sliding friction in ball bearings. J Basic Eng–T ASME 81(1): 1–12 (1959)

Friction
Article number: 9440947
Cite this article:
Wu P, He C, Ren Z, et al. Measurement of the equivalent friction coefficients of ball bearings based on the variations in kinetic energy. Friction, 2025, 13(5): 9440947. https://doi.org/10.26599/FRICT.2025.9440947

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Received: 22 November 2023
Revised: 24 March 2024
Accepted: 14 June 2024
Published: 09 December 2024
© The Author(s) 2025.

This is an open access article under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0, http://creativecommons.org/licenses/by/4.0/).

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