A modeling methodology is proposed to predict load-dependent (mechanical) power loss of cylindrical roller bearings under combined radial and moment loading with focus on planetary gear set planet bearings. This methodology relies on two models. The first model is a bearing load distribution model to predict load intensities along rolling element contacts due to combined force–moment loading. This model takes into account planet bearing macrogeometry as well as micromodifications to the roller and race surfaces. The second model is an elastohydrodynamic lubrication (EHL) model employed to predict rolling power losses of bearing contacts with load intensities predicted by the load distribution model. The bearing mechanical power loss methodology is applied to bearings of an automotive planetary gear set to quantify the sensitivity of mechanical power loss to key bearing, lubrication and surface parameters as well as operating speed, load and temperature conditions.
Issue Section:
Research Papers
References
1.
Martin
, K. F.
, 1978
, “A Review of Friction Predictions in Gear Teeth
,” Wear
, 49
, pp. 201
–238
.10.1016/0043-1648(78)90088-12.
Yada
, T.
, 1997
, “Review of Gear Efficiency Equation and Force Treatment
,” JSME Int. J., Ser. C
, 40
, pp. 1
–8
.10.1299/jsmeb.40.13.
Li
, Y.
, and Seireg
, A. A.
, 1989
, “Predicting The Coefficient of Friction in Sliding-Rolling Contacts
,” ASME J. Tribol.
, 111
(2
), pp. 386
–390
.10.1115/1.32619304.
Petry-Johnson
, T.
, Kahraman
, A.
, Anderson
, N. E.
, and Chase
, D. R.
, 2008
, “An Experimental Investigation of Spur Gear Efficiency
,” ASME J. Mech. Des.
, 130
(6
), p. 062601
.10.1115/1.28988765.
Yada
, T.
, 1972
, “The Measurement of Gear Mesh Friction Losses
,” ASME Paper No. 72-PTG-35, pp. 8
–12
.6.
Naruse
, C.
, Haizuka
, S.
, Nemoto
, R.
, and Kurokawa
, K.
, 1986
, “Studies on Frictional Loss
, Temperature Rise and Limiting Load for Scoring of Spur Gear
,” Bull. JSME
, 29
(248
), pp. 600
–608
.10.1299/jsme1958.29.6007.
Mizutani
, H.
, and Isikawa
, Y.
, 1996
, “Power Loss of Long Addendum Spur Gears
,” VDI Berichte No. 1230, pp. 83
–95
.8.
Misharin
, Y. A.
, 1958
, “Influence of The Friction Condition on The Magnitude of the Friction Coefficient in The Case of Rollers With Sliding
,” Proceedings of the International Conference on Gearing
, Institute of Mechanical Engineers, London, pp. 159
–164
.9.
Benedict
, G. H.
, and Kelly
, B. W.
, 1960
, “Instantaneous Coefficients of Gear Tooth Friction
,” ASLE Lubrication Conference
, pp. 57
–70
.10.
O'Donoghue
, J. P.
, and Cameron
, A.
, 1966
, “Friction and Temperature in Rolling Sliding Contacts
,” ASLE Trans.
, 9
, pp. 186
–194
.10.1080/0569819660897213411.
Drozdov
, Y. N.
, and Gavrikov
, Y. A.
, 1968
, “Friction and Scoring Under The Conditions of Simultaneous Rolling and Sliding of Bodies
,” Wear
, 11
(4
), pp. 291
–302
.10.1016/0043-1648(68)90177-412.
Xu
, H.
, Kahraman
, A.
, Anderson
, N. E.
, and Maddock
, D.
, 2007
, “Prediction of Mechanical Efficiency of Parallel-Axis Gear Pairs
,” ASME J. Mech. Des.
, 129
(1
), pp. 58
–68
.10.1115/1.235947813.
Li
, S.
, and Kahraman
, A.
, 2010
, “A Transient Mixed Elastohydrodynamic Lubrication Model for Spur Gear Pairs
,” ASME J. Tribol.
, 132
(1
), p. 011501
.10.1115/1.400027014.
Li.
S.
, and Kahraman
, A.
2011
, “A Method to Derive Friction and Rolling Power Loss Formulae for Mixed Elastohydrodynamic Lubrication
,” J. Adv. Mech. Des., Syst., Manuf.
, 5
(4
), pp. 252
–263
10.1299/jamdsm.5.252.15.
Li
, S.
, Vaidyanathan
, A.
, Harianto
, J.
, and Kahraman
, A.
, 2009
, “Influence of Design Parameters on Mechanical Power Losses of Helical Gear Pairs
,” J. Adv. Mech. Des., Syst., Manuf.
, 3
(2
), pp. 146
–158
10.1299/jamdsm.3.146.16.
Xu
, H.
, and Kahraman
, A.
, 2007
, “Prediction of Friction-Related Power Losses of Hypoid Gear Pairs
,” Proc. IMechE, Part K
, 221
(3
), pp. 387
–400
10.1243/14644193JMBD48.17.
Kolivand
, M.
, Li
, S.
, and Kahraman
, A.
, 2010
, “Prediction of Mechanical Gear Mesh Efficiency of Hypoid Gear Pairs
,” Mech. Mach. Theory
, 45
(11
), pp. 1555
–1567
.10.1016/j.mechmachtheory.2010.06.01518.
Palmgren
, A.
, 1959
, Ball and Roller Bearing Engineering
, 3rd ed., SKF Industries
, Philadelphia, PA
.19.
Harris
, T.
, 1991
, Rolling Bearing Analysis
, 3rd ed., John Wiley & Sons Inc.
, New York
.20.
Gupta
, P. K.
, 1990
, “On the Frictional Instabilities in Cylindrical Roller Bearings
,” Tribol. Trans.
, 33
, pp. 395
–401
.10.1080/1040200900898196921.
Hadden
, G. B.
, Kleckner
, R. J.
, Ragen
, M. A.
, and Sheynin
, L.
, 1981
, “Steady State and Transient Thermal Analysis of a Shaft Bearing System Including Ball, Cylindrical and Tapered Roller Bearing
,” NASA Research Report
, NASA Contract No. NAS3-22690.22.
Kleckner
, R. J.
, Pirvics
, J.
, and Castelli
, V.
, 1980
, “High Speed Cylindrical Rolling Element Bearing Analysis CYBEAN-Analytical Formulation
,” ASME J. Lubr. Technol.
, 102
(3
) pp. 380
–390
.10.1115/1.325155323.
Nelias
, D.
, Seabra
, J.
, Flamand
, L.
, and Dalmaz
, G.
, 1994
, “Power Loss Prediction in High-Speed Roller Bearings
,” Dissipative Processes in Tribology
, D.
Dowson
, C. M.
Taylor
, T. H. C.
Childs
, M.
Godet
, and G.
Dalmas
, eds., Elsevier Science B.V.
, pp. 465
–478
.24.
Chang
, L.
, Cusano
, C.
, and Conry
, T. F.
, 1990
, “Analysis of High-Speed Cylindrical Roller Bearings Using a Full Elastohydrodynamic Lubrication Model
,” Tribol. Trans.
, 33
(2
), pp. 274
–284
.10.1080/1040200900898195625.
Dowson
, D.
, and Higginson
, G. R.
, 1977
, Elasto-Hydrodynamic Lubrication
, Pergamon Press
, New York.26.
Li.
S.
, and Kahraman
, A.
2010
, “Prediction of Spur Gear Mechanical Power Losses Using a Transient Elastohydrodynamic Lubrication Model
,” Tribol. Trans.
, 53
(4
), pp. 554
–563
.10.1080/1040200090350227927.
Goksem
, P. G.
, and Hargreaves
, R. A.
, 1978
, “The Effect of Viscous Shear Heating on Both Film Thickness and Rolling Traction in an EHL Line Contact
,” ASME J. Lubr. Technol.
, 100
(3
), pp. 346
–358
.10.1115/1.345318328.
Talbot
, D.
, Kahraman
, A.
, and Singh
, A.
, 2012
, “An Experimental Investigation of the Efficiency of Planetary Gear Sets
,” ASME J. Mech. Des.
, 134
(2
), p. 021003
.10.1115/1.4005599Copyright © 2013 by ASME
You do not currently have access to this content.
