Three formulas are derived for predicting the central and the minimum film thickness as well as the asperity load ratio in line-contact EHL with provision for surface roughness. These expressions are based on the simultaneous solution to the modified Reynolds equation and surface deformation with consideration of elastic, plastic and elasto-plastic deformation of the surface asperities. The formulas cover a wide range of input and they are of the form f(W, U, G, , V), where the parameters represented are dimensionless load, speed, material, surface roughness and hardness, respectively.
Issue Section:
Elastohydrodynamic Lubrication
References
1.
Dowson
, D.
, and Higginson
, G. R.
, Elasto-Hydrodynamic Lubrication
(Pergamon Press
, London
, 1977).2.
Dowson
, D.
, and Toyoda
, S.
, 1978, “A Central Film Thickness Formula for Elastohydrodynamic Line Contacts
,” Proceedings of the 5th Leeds-Lyon Symposium on Tribology
, London, pp. 60
–65
.3.
Pan
, P.
, and Hamrock
, B. J.
, 1989, “Simple Formulas for Performance Parameters Used in Elastohydrodynamically Lubricated Line Contacts
,” Trans. ASME, J. Tribol.
, 111
(2
), pp. 246
–251
.4.
Moes
, H.
, 1992, “Optimum Similarity Analysis with Applications to Elastohydrodynamic Lubrication
,” Wear
, 159
(1
), pp. 57
–66
.5.
Johnson
, K. L.
Greenwood
, J. A.
, and Poon
, S. Y.
, 1972, “Simple Theory of Asperity Contact in Elastohydrodynamic Lubrication
,” Wear
, 19
(1
), pp. 91
–108
.6.
Greenwood
, J. A.
, and Williamson
, J. B.
, 1966, “Contact of Nominally Flat Surfaces
,” Proc. R. Soc. London, Ser. A
, 295
(1442
), pp. 300
–319
.7.
Gelinck
, E. R. M.
, and Schipper
, D. J.
, 1999, “Deformation of Rough Line Contacts
,” Trans. ASME, J. Tribol.
, 121
(3
), pp. 449
–454
.8.
Gelinck
, E. R. M.
, and Schipper
, D. J.
, 2000, “Calculation of Stribeck Curves for Line Contacts
,” Tribol. Int.
, 33
(3–4
), pp. 175
–181
.9.
Lu
, X. B.
Khonsari
, M. M.
, and Gelinck
, E. R. M.
, 2006, “The Stribeck Curve: Experimental Results and Theoretical Prediction
,” Trans. ASME, J. Tribol.
, 128
(4
), pp. 789
–794
.10.
Akbarzadeh
, S.
, and Khonsari
, M. M.
, 2008, “Performance of Spur Gears Considering Surface Roughness and Shear Thinning Lubricant
,” Trans. ASME, J. Tribol.
, 130
(2
), p. 021503
.11.
Patir
, N.
, and Cheng
, H. S.
, 1978, “Average Flow Model for Determining Effects of Three-Dimensional Roughness on Partial Hydrodynamic Lubrication
,” ASME J. Lubr. Technol.
, 100
(1
), pp. 12
–17
.12.
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
–230
.13.
Dowson
, D.
, 1962, “A Generalized Reynolds Equation for Fluid Film Lubrication
,” Int. J. Mech. Sci.
, 4
, pp. 159
–170
.14.
Majumdar
, B. C.
, and Hamrock
, B. J.
, 1982, “Effect of Surface-Roughness on Elastohydrodynamic Line Contact
,” ASME J. Lubr. Technol.
, 104
(3
), pp. 401
–409
.15.
Greenwood
, J. A.
, and Tripp
, J. H.
, 1971, “The Contact of Two Nominally Flat Rough Surfaces
,” Proc. Inst. Mech. Eng.
, 185
, pp. 625
–633
.16.
Sadeghi
, F.
, and Sui
, P. C.
, 1989, “Compressible Elastohydrodynamic Lubrication of Rough Surfaces
,” Trans. ASME, J. Tribol.
, 111
(1
), pp. 56
–62
.17.
Prakash
, J.
, and Czichos
, H.
, 1983, “Influence of Surface-Roughness and Its Orientation on Partial Elastohydrodynamic Lubrication of Rollers
,” ASME J. Lubr. Technol.
, 105
(4
), pp. 591
–597
.18.
Jang
, J. Y.
, and Khonsari
, M. M.
, 2010, “Elastohydrodynamic Line-Contact of Compressible Shear Thinning Fluids with Consideration of the Surface Roughness
,” Trans. ASME, J. Tribol.
, 132
(3
), p. 034501
.19.
Chang
, W. R.
Etsion
, I.
, and Bogy
, D. B.
, 1987, “An Elastic-Plastic Model for the Contact of Rough Surfaces
,” Trans. ASME, J. Tribol.
, 109
(2
), pp. 257
–263
.20.
Moraru
, L.
, Keith
, T. G.
, and Kahraman
, A.
, 2004, “Aspects Regarding the Use of Probabilistic Models for Isothermal Full Film Rough Line Contacts
,” Tribol. Trans.
, 47
(3
), pp. 386
–395
.21.
Zhao
, Y. W.
, Maietta
, D. M.
, and Chang
, L.
, 2000, “An Asperity Microcontact Model Incorporating the Transition from Elastic Deformation to Fully Plastic Flow
,” Trans. ASME, J. Tribol.
, 122
(1
), pp. 86
–93
.22.
Khonsari
, M. M.
, and Booser
, E. R.
, Applied Tribology : Bearing Design and Lubrication
(Wiley
, New York
, 2008).23.
Roelands
, C. J. A.
, Correctional Aspects of the Viscosity-Temperature- Pressure Relationship of Lubricating Oils
(Druk, V. R. B. Groningen
, The Netherlands
, 1966).24.
Hamrock
, B. J.
, Fundamentals of Fluid Film Lubrication
(McGraw-Hill
, New York
, 1994).25.
Timoshenko
, S.
, and Goodier
, J. N.
, 1969, Theory of Elasticity
(McGraw-Hill
, New York
, 1969).26.
McCool
, J. I.
, 1987, “Relating Profile Instrument Measurements to the Functional Performance of Rough Surfaces
,” Trans. ASME, J. Tribol.
, 109
(2
), pp. 264
–270
.27.
Houpert
, L. G.
, and Hamrock
, B. J.
, 1986, “Fast Approach for Calculating Film Thicknesses and Pressures in Elastohydrodynamically Lubricated Contacts at High Loads
,” Trans. ASME, J. Tribol.
, 108
(3
), pp. 411
–420
.28.
Venner
, C. H.
, 1991, “Multilevel Solution of the EHL Line and Point Contact Problems
,” Ph.D. thesis, University of Twente, Enschede, The Netherlands.29.
Okamura
, H.
, 1982, “A Contribution to the Numerical Analysis of Isothermal Elastohydrodynamic Lubrication
,” Tribology of Reciprocating Engines: Proc. 9th Leeds–Lyon Symp. on Tribology
, pp. 313
–320
.30.
Hamrock
, B. J.
, Pan
, P.
, and Lee
, R. T.
, 1988, “Pressure Spikes in Elastohydrodynamically Lubricated Conjunctions
,” Trans. ASME, J. Tribol.
, 110
(2
), pp. 279
–284
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