A simple but realistic dynamic friction model for the lubricated sliding contact is developed based on decoupling the steady and unsteady terms in Reynolds equation. The model realistically captures the physics of friction behavior both when speed is increased unidirectionally or when operating under oscillating condition. The model can simulate the transition from boundary to mixed to full film regimes as the speed is increased. Two different classes of simulations are performed to show the utility of the model: the so-called quasisteady, where the sliding velocity is varied very slowly, and the oscillating sliding velocity, where the friction coefficient exhibits a hysteresis type behavior. Both categories of simulation are verified by comparing the results with published experimental data.

1.
Hess
,
D. P.
, and
Soom
,
A.
, 1990, “
Friction at a Lubricated Line Contact Operating at Oscillating Sliding Velocities
,”
ASME J. Tribol.
0742-4787,
112
(
1
), pp.
147
152
.
2.
Rabinowicz
,
E.
, 1951, “
The Nature of the Static and Kinetic Coefficients of Friction
,”
J. Appl. Phys.
0021-8979,
22
(
11
), pp.
1373
1379
.
3.
Harnoy
,
A.
,
Friedland
,
B.
,
Semenock
,
R.
,
Rachoor
,
H.
, and
Aly
,
A.
, 1994, “
Apparatus for Empirical Determination of Dynamic Friction
,”
Proceedings of the American Control Conference
, Baltimore, MD, pp.
546
550
.
4.
Lu
,
X. B.
, and
Khonsari
,
M. M.
, 2007, “
An Experimental Study of Grease-Lubricated Journal Bearings Undergoing Oscillatory Motion
,”
ASME J. Tribol.
0742-4787,
129
(
3
), pp.
640
646
.
5.
Lu
,
X. B.
, and
Khonsari
,
M. M.
, 2008, “
An Experimental Study of Oil-Lubricated Journal Bearings Undergoing Oscillatory Motion
,”
ASME J. Tribol.
0742-4787,
130
(
2
), p.
021702
.
6.
Greenwood
,
J. A.
, and
Johnson
,
K. L.
, 1992, “
The Behavior of Transverse Roughness in Sliding EHL Contacts
,”
Wear
0043-1648,
153
, pp.
107
117
.
7.
Greenwood
,
J. A.
, and
Morales-Espejel
,
G. E.
, 1994, “
The Behavior of Transverse Roughness in EHL Contacts
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
0954-4062,
208
, pp.
121
132
.
8.
Greenwood
,
J. A.
, and
Morales-Espejel
,
G. E.
, 1997, “
Amplitude of the Complementary Function for Wavy EHL Contacts
,”
Tribol. Ser.
0167-8922,
32
, pp.
307
312
.
9.
Lubrecht
,
A. A.
,
Graille
,
A.
,
Venner
,
C. H.
, and
Greenwood
,
J. A.
, 1998, “
Waviness Amplitude Reduction in EHL Line Contacts Under Rolling-Sliding
,”
ASME J. Tribol.
0742-4787,
120
, pp.
705
709
.
10.
Venner
,
C. H.
, and
Lubrecht
,
A. A.
, 1999, “
Amplitude Reduction of Non-Isotropic Harmonic Patterns in Circular EHL Contacts Under Pure Rolling
,”
Tribol. Ser.
0167-8922,
36
, pp.
151
162
.
11.
Hooke
,
C. J.
, and
Venner
,
C. H.
, 2000, “
Surface Roughness Attenuation in Line and Point Contacts
,”
Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol.
1350-6501,
214
, pp.
439
444
.
12.
Stribeck
,
R.
, 1902, “
Kugellager Für Beliebige Belastungen
,”
Z. Ver. Dtsch. Ing.
0341-7255,
46
, pp.
1341
1348
, 1432–1438, and 1463–1470.
13.
Lu
,
X. B.
,
Khonsari
,
M. M.
, and
Gelinck
,
E. R. M.
, 2006, “
The Stribeck Curve: Experimental Results and Theoretical Prediction
,”
ASME J. Tribol.
0742-4787,
128
(
4
), pp.
789
794
.
14.
Johnson
,
K. L.
,
Greenwood
,
J. A.
, and
Poon
,
S. Y.
, 1972, “
A Simple Theory of Asperity Contact in Elastohydrodynamic Lubrication
,”
Wear
0043-1648,
19
, pp.
91
108
.
15.
Pan
,
P.
, and
Hamrock
,
B. J.
, 1989, “
Simple Formulae for Performance of Parameters Used in Elastohydrodynamically Lubricated Line Contacts
,”
ASME J. Tribol.
0742-4787,
112
(
2
), pp.
246
251
.
16.
Moes
,
H.
, 1992, “
Optimum Similarity Analysis With Application to Elastohydrodynamic Lubrication
,”
Wear
0043-1648,
159
, pp.
57
66
.
17.
Greenwood
,
J. A.
, and
Williamson
,
J. B. P.
, 1966, “
Contact of Nominally Flat Surfaces
,”
Proc. R. Soc. London, Ser. A
0950-1207,
295
, pp.
300
319
.
18.
Gelinck
,
E. R. M.
, and
Schipper
,
D. J.
, 1999, “
Deformation of Rough Line Contacts
,”
ASME J. Tribol.
0742-4787,
121
, pp.
449
454
.
19.
Gelinck
,
E. R. M.
, and
Schipper
,
D. J.
, 2000, “
Calculation of Stribeck Curves for Line Contacts
,”
Tribol. Int.
0301-679X,
33
, pp.
175
181
.
20.
Akbarzadeh
,
S.
and
Khonsari
,
M. M.
, 2008, “
Performance of Spur Gears Considering Surface Roughness and Shear Thinning Lubricant
,”
ASME J. Tribol.
0742-4787,
130
(
2
), p.
021503
.
21.
Harnoy
,
A.
, and
Friedland
,
B.
, 1994, “
Dynamic Friction Model of Lubricated Surfaces for Precise Motion Control
,”
Tribol. Trans.
1040-2004,
37
(
3
), pp.
608
614
.
22.
Rachoor
,
H.
, and
Harnoy
,
A.
, 1996, “
Modeling of Dynamic Friction in Lubricated Line Contacts for Precise Motion Control
,”
Tribol. Trans.
1040-2004,
39
(
2
), pp.
476
482
.
23.
Canudas de Wit
,
C.
,
Olsson
,
H.
,
Aström
,
K.
, and
Lischinsky
,
P.
, 1995, “
A New Model for Control of Systems With Friction
,”
IEEE Trans. Autom. Control
0018-9286,
40
, pp.
419
425
.
24.
Olsson
,
H.
,
Aström
,
K. J.
,
Canudas de Wit
,
C.
,
Gäfvert
,
M.
, and
Lischinsky
,
P.
, 1998, “
Friction Models and Friction Compensation
,”
Eur. J. Control
0947-3580,
4
(
3
), pp.
176
195
.
25.
Zhai
,
X. J.
,
Needham
,
G.
, and
Chang
,
L.
, 1997, “
On the Mechanism of Multi-Valued Friction in Unsteady Sliding Line Contacts Operating in the Regime of Mixed-Film Lubrication
,”
ASME J. Tribol.
0742-4787,
119
, pp.
149
155
.
26.
Barus
,
C.
, 1893, “
Isotherms, Isopeistics and Isometrics Relative to Viscosity
,”
Am. J. Sci.
0002-9599,
45
, pp.
87
96
.
27.
Roelands
,
C. J. A.
, 1966, “
Correlational Aspects for the Viscosity–Temperature-Pressure Relationship of Lubricating Oils
,” Ph.D. thesis, Delft University of Technology, Delft, The Netherlands.
28.
Khonsari
,
M. M.
, and
Booser
,
E. R.
, 2008,
Applied Tribology Bearing Design and Lubrication
,
Wiley
,
West Surcek, UK
.
29.
Barnocky
,
G.
, and
Davis
,
R. H.
, 1989, “
The Influence of Pressure-Dependent Density and Viscosity on the Elastohydrodynamic Collision and Rebound of Two Spheres
,”
J. Fluid Mech.
0022-1120,
209
, pp.
501
519
.
30.
Whitehouse
,
D. J.
, and
Archard
,
J. F.
, 1970, “
The Properties of Random Surfaces of Significance in Their Contact
,”
Proc. R. Soc. London, Ser. A
0950-1207,
316
, pp.
97
121
.
31.
Bair
,
S.
, and
Winer
,
W. O.
, 1979, “
A Rheological Model for EHL Contacts Based on Primary Laboratory Data
,”
ASME J. Lubr. Technol.
0022-2305,
101
, pp.
258
265
.
32.
Polycarpou
,
A. A.
, and
Soom
,
A.
, 1995, “
Two Dimensional Models of Boundary and Mixed Friction at a Line Contact
,”
ASME J. Tribol.
0742-4787,
117
, pp.
178
184
.
You do not currently have access to this content.