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http://dx.doi.org/10.7736/KSPE.2015.32.2.149

Study on the Frictional Torque in the Angular Contact Ball Bearing for Machine Tool Spindle by Empirical Formula  

Kim, Kang Seok (Department of Precision Engineering, Pusan National University)
Hwang, Jooho (Advanced Manufacturing Systems Research Division, Korea Institute of Machinery & Materials)
Lee, Deug Woo (Department of Nano Mechatronics Engineering, Pusan National University)
Lee, Sang Min (Department of Nano Fusion Technology, Pusan National University)
Lee, Seung Jun (Interdisciplinary Program in Innovative Manufacturing Engineering, Pusan National University)
Publication Information
Abstract
Ball and roller bearings are commonly used machine elements for supporting rotating motion about shafts in simple devices including bicycles, in-line skates, and electric motors, as well as in complex machines. Heat is generated by the friction in the bearings, which causes the temperature inside the bearing to increase. If the heat is not appropriately removed from the bearing, elevated temperatures may give rise to premature failure. It is, therefore, important to be able to calculate the temperature in the bearings due to friction.Here, we describe a method to estimate the frictional torque in bearings using an empirical formula developed using a method based on bearing analysis tool and the measured frictional torque in a spindle system. Thermal analysis of the spindle system including the bearings was achieved using the finite element method (FEM), and the bearing temperature was compared with measured data to verify the empirical formula.
Keywords
Empirical formula; Frictional torque; Angular contact ball bearing; Temperature;
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  • Reference
1 Stribeck, R., "Die Wesentlichen Eigenshaften der Gleit und Rollenlager," Zeitschrift Vereines deutche Ingenieure, Vol. 46, No. 38, pp. 1341-1348, 1902.
2 Palmgren, A., "Ball and Roller Bearing Engineering," 3rd ed., Burbank, pp. 34-41, 1959.
3 Harris, T. A., "Rolling bearing analysis," John Wiley and Sons, Inc., pp. 187-201, 1966.
4 Witte, D. C., "Operating Torque of Tapered Roller Bearings," ASLE Trans., Vol. 16, No. 1, pp. 61-67, 1973.   DOI
5 Aihara, S., "A New Running Torque Formula for Tapered Roller Bearings under Axial Load," Journal of Tribology, Vol. 109, No. 3, pp. 471-478, 1987.   DOI
6 Witte, D. C. and Hill, H., "Tapered Roller Bearing Torque Characteristics with Emphasis on Rib-Roller End Contact," SAE Tech, Paper No. 871984, 1987.
7 Houpert, L., "Ball Bearing and Tapered Roller Bearing Torque: Analytical, Numerical and Experimental Results," STLE Tribology Transactions, Vol. 45, No. 3, pp. 345-353, 2002.   DOI
8 Sibley, L. and Orcutt, F., "Elastohydrodynamic Lubrication of Rolling Contact Surfaces," ASLE Trans., Vol. 4, No. 2, pp. 234-249, 1961.   DOI
9 Hamrock, B. and Dowson. D., "Isothermal Elastohydrodynamic Lubrication of Point Contact - Part IV: Starvation Results," Journal of Tribology, Vol. 99, No. 1, pp. 15-23, 1977.
10 Kaneta, M., Sakai, T., and Nishikawa, H., "Effects of Surface Roughness on Point Contact EHL," Tribol. Trans., Vol. 36, No. 4, pp. 605-612, 1993.   DOI   ScienceOn
11 Palacios, J., "Elastohydrodynamic Films in Mixed Lubrication: an Experimental Investigation," Wear, Vol. 89, No. 3, pp. 303-312, 1983.   DOI
12 Schipper, D., Vroegop, P., De Gee, A., and Bosma, R., "Micro-ehl in Lubricated Concentrated Contacts," Journal of Tribology, Vol. 112, No. 2, pp. 392-397, 1990.   DOI
13 Kannel, J. and Bupara, S., "A Simplified Model of Cage Motion in Angular-Contact Bearings Operating in the EHD Lubrication Regime," Journal of Tribology, Vol. 100, No. 3, pp. 395-403, 1978.
14 Harris, T. A., "Prediction of temperature in a rolling bearing assembly," Lubrication Engineering, Vol. 20, No. 4, pp. 145-150, 1964.
15 Bossmanns, B. and Tu, J. F., "A Power Flow Model for High Speed Motorized Spindles - Heat Generation Characterization," Transactions of the ASME, Journal of Manufacturing Science and Engineering, Vol. 123, No. 3, pp. 494-505, 2001.   DOI