A numerical method for modifying cylindrical roller profile was proposed to smooth axial pressure distributions of finite line contacts under the mixed lubrication regime. The mixed lubrication model, in which the Reynolds equation modified by Patir and Cheng has been solved with implementing the rough surface contact model of Kogut and Etsion for the stochastic solution of hydrodynamic pressure and asperity-contact pressure, was established and it is validated by the comparison between simulation results and experiments. Some common roller profiles were carried into the mixed lubrication model and obvious increment of pressure appears near the roller ends or at the central contact area. A numerical running-in method was developed to smooth pressure shapes and the crown drop of roller profile was modified gradually implementing Archard's wear law, where a higher asperity-contact pressure leads to a larger crown drop on a roller profile. The results of the numerical running-in method indicated that pressure distributions of finite line contacts are uniform if the optimized roller profile is employed.
Issue Section:
Contact Mechanics
References
1.
Hertz
, H.
, 1881
, “On the Contact of Elastic Solids
,” J. Reine. Angew. Math.
, 92
, pp. 156
–171
.https://ci.nii.ac.jp/naid/100110658552.
Dowson
, D.
, and Higginson
, G. R.
, 1959
, “A Numerical Solution to the Elasto-Hydrodynamic Problem
,” J. Mech. Eng. Sci.
, 1
(1
), pp. 6
–15
.3.
Chang
, L.
, Webster
, M. N.
, and Jackson
, A.
, 1993
, “On the Pressure Rippling and Roughness Deformation in Elastohydrodynamic Lubrication of Rough Surfaces
,” ASME J. Tribol.
, 115
(3
), pp. 439
–444
.4.
Masjedi
, M.
, and Khonsari
, M. M.
, 2012
, “Film Thickness and Asperity Load Formulas for Line-Contact Elastohydrodynamic Lubrication With Provision for Surface Roughness
,” ASME J. Tribol.
, 134
(1
), p. 011503
.5.
Harris
, T. A.
, and Barnsby
, R. M.
, 2001
, “Life Ratings for Ball and Roller Bearings
,” Proc. Inst. Mech. Eng., Part J
, 215
(6
), pp. 577
–595
.6.
Poplawski
, J. V.
, Peters
, S. M.
, and Zaretsky
, E. V.
, 2001
, “Effect of Roller Profile on Cylindrical Roller Bearing Life Prediction—Part II: Comparison of Roller Profiles
,” Tribol. Trans.
, 44
(3
), pp. 417
–427
.7.
Lundberg
, G.
, 1939
, “Elastic Contact Between Two Semi-Infinite Bodies
,” Forsch. Geb. Ingenieurwes.
, 5
, pp. 201
–211
.https://ci.nii.ac.jp/naid/10024680549/8.
Johns
, P. M.
, and Gohar
, R.
, 1981
, “Roller Bearings Under Radial and Eccentric Loads
,” Tribol. Int.
, 14
(3
), pp. 131
–136
.9.
Fujiwara
, H.
, Kawase
, T.
, Kobayashi
, T.
, and Yamauchi
, K.
, 2010
, “Optimized Logarithmic Roller Crowning Design of Cylindrical Roller Bearings and Its Experimental Demonstration
,” Tribol. Trans.
, 53
(6
), pp. 909
–916
.10.
Fujiwara
, H.
, and Kawase
, T.
, 2006
, “Logarithmic Profile of Rollers in Roller Bearing and Optimization of the Profile
,” Trans. Jpn. Soc. Mech. Eng.
, 72
(721
), pp. 3022
–3029
.11.
Li
, C.
, and He
, Y.
, 2015
, “A New Logarithmic Profile Model and Optimization Design of Cylindrical Roller Bearing
,” Ind. Lubr. Tribol.
, 67
(5
), pp. 498
–508
.12.
Wymer
, D. G.
, and Cameron
, A.
, 1974
, “Elastohydrodynamic Lubrication of a Line Contact
,” Proc. Inst. Mech. Eng.
, 188
(1
), pp. 221
–238
.13.
Mostofi
, A.
, and Gohar
, R.
, 1983
, “Elastohydrodynamic Lubrication of Finite Line Contacts
,” ASME J. Lubr. Technol.
, 105
(4
), pp. 598
–604
.14.
Liu
, X.
, and Yang
, P.
, 2002
, “Analysis of the Thermal Elastohydrodynamic Lubrication of a Finite Line Contact
,” Tribol. Int.
, 35
(3
), pp. 137
–144
.15.
Najjari
, M.
, and Guilbault
, R.
, 2014
, “Edge Contact Effect on Thermal Elastohydrodynamic Lubrication of Finite Contact Lines
,” Tribol. Int.
, 71
(Suppl. C
), pp. 50
–61
.16.
Zhu
, D.
, Wang
, J.
, Ren
, N.
, and Wang
, Q. J.
, 2012
, “Mixed Elastohydrodynamic Lubrication in Finite Roller Contacts Involving Realistic Geometry and Surface Roughness
,” ASME J. Tribol.
, 134
(1
), p. 011504
.17.
Patir
, N.
, and Cheng
, H. S.
, 1978
, “An Average Flow Model for Determining Effects of Three-Dimensional Roughness on Partial Hydrodynamic Lubrication
,” ASME J. Lubr. Technol.
, 100
(1
), pp. 12
–17
.18.
Patir
, N.
, and Cheng
, H. S.
, 1979
, “Application of Average Flow Model to Lubrication Between Rough Sliding Surfaces
,” ASME J. Lubr. Technol.
, 101
(2
), pp. 220
–229
.19.
Greenwood
, J. A.
, and Williamson
, J. B. P.
, 1966
, “Contact of Nominally Flat Surfaces
,” Proc. R. Soc. A: Math., Phys. Eng. Sci.
, 295
(1442
), pp. 300
–319
.20.
Greenwood
, J. A.
, and Tripp
, J. H.
, 1970
, “The Contact of Two Nominally Flat Rough Surfaces
,” Proc. Inst. Mech. Eng.
, 185
(1
), pp. 625
–633
.21.
Kogut
, L.
, and Etsion
, I.
, 2002
, “Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat
,” ASME J. Appl. Mech.
, 69
(5
), pp. 657
–662
.22.
Kogut
, L.
, and Etsion
, I.
, 2003
, “A Finite Element Based Elastic-Plastic Model for the Contact of Rough Surfaces
,” Tribol. Trans.
, 46
(3
), pp. 383
–390
.23.
Kogut
, L.
, and Etsion
, I.
, 2004
, “A Static Friction Model for Elastic-Plastic Contacting Rough Surfaces
,” ASME J. Tribol.
, 126
(1
), pp. 34
–40
.24.
Hao
, L.
, and Meng
, Y.
, 2015
, “Numerical Prediction of Wear Process of an Initial Line Contact in Mixed Lubrication Conditions
,” Tribol. Lett.
, 60
(2
), pp. 1
–16
.25.
Love
, A. E. H.
, 1929
, “The Stress Produced in a Semi-Infinite Solid by Pressure on Part of the Boundary
,” Philos. Trans. R. Soc. London
, 228
(659–669
), pp. 377
–420
.26.
Dowson
, D.
, Higginson
, G. R.
, and Nielsen
, K. W.
, 1978
, “Elasto-Hydrodynamic Lubrication (International Series in Material, Science and Technology, Vol. 23)
,” J. Lubr. Technol.
, 100
(3
), p. 447
.27.
Roelands
, C. J. A.
, 1966
, “Correlational Aspects of the Viscosity-Temperature-Pressure Relationship of Lubricating Oils
,” Ph.D. dissertation
, Delft University of Technology, Delft, The Netherlands.https://repository.tudelft.nl/islandora/object/uuid:1fb56839-9589-4ffb-98aa-4a20968d1f90/28.
Jackson
, R. L.
, and Green
, I.
, 2005
, “A Finite Element Study of ElastoPlastic Hemispherical Contact Against a Rigid Flat
,” ASME J. Tribol.
, 127
(2
), pp. 343
–354
.29.
Jackson
, R. L.
, and Green
, I.
, 2006
, “A Statistical Model of Elasto-Plastic Asperity Contact Between Rough Surfaces
,” Tribol. Int.
, 39
(9
), pp. 906
–914
.30.
Chang
, W. R.
, Etsion
, I.
, and Bogy
, D. B.
, 1988
, “Static Friction Coefficient Model for Metallic Rough Surfaces
,” ASME J. Tribol.
, 110
(1
), pp. 57
–63
.31.
Masjedi
, M.
, and Khonsari
, M. M.
, 2014
, “Theoretical and Experimental Investigation of Traction Coefficient in Line-Contact EHL of Rough Surfaces
,” Tribol. Int.
, 70
(Suppl. C
), pp. 179
–189
.Copyright © 2019 by ASME
You do not currently have access to this content.
