Abstract
This paper presents a finite element model for the solution of thermal elastohydrodynamic lubrication in finite line contacts, including edge effects. The model is used to investigate the influence of roller-end axial profiling on the frictional behavior of such contacts. Roller-end profiling in finite line contacts has always been used to enhance fatigue life by increasing lubricant minimum film thickness and reducing stress concentration at roller ends. The influence on friction on the other hand has often been overlooked in the literature. The current work reveals that roller-end profiling has a negative effect on friction. In fact, it turns out that the improvement in fatigue life comes at the expense of increased friction.
Issue Section:
Elastohydrodynamic Lubrication
References
1.
Wymer
, D. G.
, and Cameron
, A.
, 1974
, “Elastohydrodynamic Lubrication of a Line Contact
,” Proc. Inst. Mech. Eng.
, 188
(1
), pp. 221
–238
. 10.1243/PIME_PROC_1974_188_024_022.
Mostofi
, A.
, and Gohar
, R.
, 1983
, “Elastohydrodynamic Lubrication of Finite Line Contacts
,” ASME J. Lubr. Tech.
, 105
(4
), pp. 598
–604
. 10.1115/1.32546833.
Kuroda
, S.
, and Arai
, K.
, 1985
, “Elastohydrodynamic Lubrication Between Two Rollers (Finite Width Analysis)
,” Bull. Japan Soc. Mech. Engineers
, 28
(241
), pp. 1367
–1372
. 10.1299/jsme1958.28.13674.
Park
, T. J.
, and Kim
, K. W.
, 1998
, “Elastohydrodynamic Lubrication of a Finite Line Contact
,” Wear
, 223
(1–2
), pp. 102
–109
. 10.1016/S0043-1648(98)00317-25.
Love
, A. E. H.
, 1994
, Mathematical Theory of Elasticity
, Dover
, New York
.6.
Najjari
, M.
, and Guilbault
, R.
, 2014
, “Edge Contact Effect on Thermal Elastohydrodynamic Lubrication of Finite Contact Lines
,” Trib. Int.
, 71
, pp. 50
–61
. 10.1016/j.triboint.2013.11.0057.
Guilbault
, R.
, 2011
, “A Fast Correction for Elastic Quarter-Space Applied to 3D Modeling of Edge Contact Problems
,” ASME J. Tribol.
, 133
(3
), p. 031402-10
. 10.1115/1.40037668.
Hetényi
, M. A.
, 1960
, “Method of Solution for the Elastic Quarter-Plane
,” ASME J. Appl. Mech.
, 27
(2
), pp. 289
–296
. 10.1115/1.36439549.
Hetényi
, M. A.
, 1970
, “A General Solution for the Elastic Quarter-Space
,” ASME J. Appl. Mech.
, 37
(1
), pp. 70
–76
. 10.1115/1.340849210.
Zhang
, H. B.
, Wang
, W. Z.
, Zhang
, S. G.
, and Zhao
, Z. Q.
, 2016
, “Elastohydrodynamic Lubrication Analysis of Finite Line Contact Problem With Consideration of Two Free End Surfaces
,” ASME J. Tribol.
, 139
(3
), p. 031501
.10.1115/1.403424811.
Zhang
, Z. M.
, Wang
, W.
, and Wong
, P. L.
, 2013
, “An Explicit Solution for the Elastic Quarter-Space Problem in Matrix Formulation
,” Int. J. Solids Struct.
, 50
(6
), pp. 976
–980
. 10.1016/j.ijsolstr.2012.12.00112.
Liu
, S. B.
, Wang
, Q.
, and Liu
, G.
, 2000
, “A Versatile Method of Discrete Convolution and FFT (DC-FFT) for Contact Analyses
,” Wear
, 243
(1–2
), pp. 101
–111
. 10.1016/S0043-1648(00)00427-013.
Guo
, L.
, Wang
, W.
, Zhang
, Z. M.
, and Wong
, P. L.
, 2017
, “Study on the Free Edge Effect on Finite Line Contact Elastohydrodynamic Lubrication
,” Tribol. Int.
, 116
, pp. 482
–490
. 10.1016/j.triboint.2017.08.01014.
Wang
, W.
, Guo
, L.
, Wong
, P. L.
, and Zhang
, Z. M.
, 2017
, “Surface Normal Deformation in Elastic Quarter-Space
,” Tribol. Int.
, 114
, pp. 358
–364
. 10.1016/j.triboint.2017.04.04415.
Habchi
, W.
, 2018
, Finite Element Modeling of Elastohydrodynamic Lubrication Problems
, Wiley
, Chichester, UK
.16.
Shirzadegan
, M.
, Almqvist
, A.
, and Larsson
, R.
, 2016
, “Fully Coupled EHL Model for Simulation of Finite Length Line Cam-Roller Follower Contacts
,” Tribol. Int.
, 103
, pp. 584
–598
. 10.1016/j.triboint.2016.08.01717.
Hultqvist
, T.
, Shirzadegan
, M.
, Vrcek
, A.
, Baubet
, Y.
, Prakash
, B.
, Marklund
, P.
, and Larsson
, R.
, 2018
, “Elastohydrodynamic Lubrication for the Finite Line Contact Under Transient Loading Conditions
,” Tribol. Int.
, 127
, pp. 489
–499
. 10.1016/j.triboint.2018.06.03518.
Alakhramsing
, S. S.
, de Rooij
, M. B.
, Schipper
, D. J.
, and van Drogen
, M.
, 2018
, “Elastohydrodynamic Lubrication of Coated Finite Line Contacts
,” Proc. Inst. Mech. Eng. Part J
, 232
(9
), pp. 1077
–1092
. 10.1177/135065011770503719.
Liu
, X.
, and Yang
, P.
, 2002
, “Analysis of the Thermal Elastohydrodynamic Lubrication of a Finite Line Contact
,” Tribol. Int.
, 35
(3
), pp. 137
–144
. 10.1016/S0301-679X(01)00107-420.
Zhu
, C.
, Liu
, M.
, Liu
, H.
, Xu
, X.
, and Liu
, L.
, 2012
, “A Thermal Finite Line Contact EHL Model of a Helical Gear Pair
,” Proc. Inst. Mech. Eng. Part J
, 227
(4
), pp. 299
–309
. 10.1177/135065011246232421.
Liu
, Z.
, Pickens
D.
, III, He
, T.
, Zhang
, X.
, Liu
, Y.
, Nishino
, T.
, and Wang
, Q. J.
, 2019
, “A Thermal Elastohydrodynamic Lubrication Model for Crowned Rollers and Its Application on Apex Seal-Housing Interfaces
,” ASME J. Tribol.
, 141
(4
), p. 041501
. 10.1115/1.404250322.
Mihailidis
, A.
, Agouridas
, K.
, and Panagiotidis
, K.
, 2013
, “Non-Newtonian Starved Thermal-Elastohydrodynamic Lubrication of Finite Line Contacts
,” STLE Tribol. Trans.
, 56
(1
), pp. 88
–100
. 10.1080/10402004.2012.72929823.
Shirzadegan
, M.
, Larsson
, R.
, and Almqvist
, A.
, 2017
, “A Low Degree of Freedom Approach for Prediction of Friction in Finite EHL Line Contacts
,” Tribol. Int.
, 115
, pp. 628
–639
. 10.1016/j.triboint.2017.06.01924.
Habchi
, W.
, 2017
, “Coupling Strategies for Finite Element Modeling of Thermal Elastohydrodynamic Lubrication Problems
,” ASME J. Tribol.
, 139
(4
), p. 041501
. 10.1115/1.403495625.
Habchi
, W.
, Eyheramendy
, D.
, Vergne
, P.
, and Morales-Espejel
, G. E.
, 2012
, “Stabilized Fully-Coupled Finite Elements for Elastohydrodynamic Lubrication Problems
,” Adv. Eng. Softw.
, 46
(1
), pp. 4
–18
. 10.1016/j.advengsoft.2010.09.01026.
Yang
, P.
, and Wen
, S.
, 1990
, “A Generalized Reynolds Equation for Non-Newtonian Thermal Elastohydrodynamic Lubrication
,” ASME J. Tribol.
, 112
(4
), pp. 631
–636
. 10.1115/1.292030827.
Habchi
, W.
, Eyheramendy
, D.
, Bair
, S.
, Vergne
, P.
, and Morales-Espejel
, G. E.
, 2008
, “Thermal Elastohydrodynamic Lubrication of Point Contacts Using a Newtonian/Generalized Newtonian Lubricant
,” Tribol. Lett.
, 30
(1
), pp. 41
–52
. 10.1007/s11249-008-9310-928.
Deuflhard
, P.
, 2004
, Newton Methods for Nonlinear Problems, Affine Invariance and Adaptive Algorithms
, Springer
, Germany
.29.
Wu
, S. R.
, 1986
, “A Penalty Formulation and Numerical Approximation of the Reynolds-Hertz Problem of Elastohydrodynamic Lubrication
,” Int. J. Eng. Sci.
, 24
(6
), pp. 1001
–1013
. 10.1016/0020-7225(86)90032-730.
Habchi
, W.
, Vergne
, P.
, Bair
, S.
, Andersson
, O.
, Eyheramendy
, D.
, and Morales-Espejel
, G. E.
, 2010
, “Influence of Pressure and Temperature Dependence of Thermal Properties of a Lubricant on the Behavior of Circular TEHD Contacts
,” Tribol. Int.
, 43
(10
), pp. 1842
–1850
. 10.1016/j.triboint.2009.10.00231.
Habchi
, W.
, Bair
, S.
, and Vergne
, P.
, 2013
, “On Friction Regimes in Quantitative Elastohydrodynamics
,” Tribol. Int.
, 58
, pp. 107
–117
. 10.1016/j.triboint.2012.10.00532.
Murnaghan
, F. D.
, 1944
, “The Compressibility of Media Under Extreme Pressures
,” Proc. Natl. Acad. Sci.
, 30
(9
), pp. 244
–247
. 10.1073/pnas.30.9.24433.
Bair
, S.
, 2007
, High Pressure Rheology for Quantitative Elastohydrodynamics
, Elsevier Science
, Amsterdam
.34.
Reddyhoff
, T.
, Schmidt
, A.
, and Spikes
, H.
, 2019
, “Thermal Conductivity and Flash Temperature
,” Tribol. Lett.
, 67
(1
), p. 22
. 10.1007/s11249-018-1133-835.
Habchi
, W.
, and Bair
, S.
, 2020
, “The Role of the Thermal Conductivity of Steel in Quantitative Elastohydrodynamic Friction
,” Tribol. Int.
, 142
, p. 105970
. 10.1016/j.triboint.2019.10597036.
Liu
, H. C.
, Zhang
, B. B.
, Bader
, N.
, Poll
, G.
, and Venner
, C. H.
, 2020
, “Influences of Solid and Lubricant Thermal Conductivity on Traction in an EHL Circular Contact
,” Tribol. Int.
, 146
, p. 106059
. 10.1016/j.triboint.2019.10605937.
Habchi
, W.
, 2014
, “Reduced Order Finite Element Model for Elastohydrodynamic Lubrication: Circular Contacts
,” Tribol. Int.
, 71
, pp. 98
–108
. 10.1016/j.triboint.2013.11.01338.
Habchi
, W.
, and Issa
, J. S.
, 2017
, “An Exact and General Model Order Reduction Technique for the Finite Element Solution of Elastohydrodynamic Lubrication Problems
,” ASME J. Tribol.
, 139
(5
), p. 051501
. 10.1115/1.4035154Copyright © 2020 by ASME
You do not currently have access to this content.
