Systematic analyses are presented to reveal the mechanism of multi-valued friction behavior in lubricated sliding contacts with time-varying velocities. The analyses are based on the theoretical results generated by a mixed-film friction model developed in this paper for line contacts. The model, which integrates theories of transient elastohydrodynamics and asperity contact mechanics, is validated by comparing its results with published experimental data. The results and the subsequent analyses disclose that strong multi-valued friction behavior can only be generated in the mixed-film lubrication regime with simultaneous presence of significant asperity contacts and hydrodynamic squeeze. Principal factors which influence the magnitude of dynamic friction are investigated in the paper. Being instructive to the design of tribocontacts in precise-motion control systems, the analyses suggest means to minimize the undesirable multi-valued friction behavior through proper selection of system parameters.

1.
Bell
R.
, and
Burdekin
M.
,
1969–70
, “
A Study of Stick-Slip Motion of Machine Tool Drives
,”
Proc. Instn Mech Engr
, Vol.
184
, Part 1, No.
30
, pp.
543
557
.
2.
Chang
L.
,
Conry
T. F.
, and
Cusano
C.
,
1989
a, “
An Efficient, Robust, Multi-Level Computational Algorithm for Elastohydrodynamic Lubrication
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
111
, No.
2
, pp.
193
199
.
3.
Chang
L.
,
Cusano
C.
, and
Conry
T. F.
,
1989
b, “
Effects of Lubricant Rheology and Kinematic Conditions on Micro-Elastohydrodynamic Lubrication
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
111
, No.
2
, pp.
344
351
.
4.
Choa
S.
,
Ludema
K. C.
,
Potter
G. E.
, and
Dekoven
B. M.
,
1994
, “
A Model of the Dynamics of Boundary Film Formation
,”
Wear
, Vol.
177
, pp.
33
45
.
5.
Conry
T. F.
,
Wang
S.
, and
Cusano
C. C.
,
1987
, “
A Reynolds-Eyring Equation for Elastohydrodynamic Lubrication in Line Contacts
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
109
, No.
4
, pp.
648
658
.
6.
Dahlquist, G., Bjorck, A., and Anderson, N., 1974, Numerical Methods, Prentice-Hall, NJ.
7.
Greenwood
J. A.
, and
Williamson
J. B. P.
,
1966
, “
Contact of Nominally Flat Surfaces
,”
Proc. Roy. Soc.
, London, Vol.
295
, Seri. A, pp.
300
319
.
8.
Harnoy
A.
, and
Friedland
B.
,
1994
, “
Dynamic Friction Model of Lubricated Surfaces for Precise Motion Control
,”
Tribology Transactions
, Vol.
37
, No.
3
, pp.
608
614
.
9.
Hess
D. P.
, and
Soom
A.
,
1990
, “
Friction at a Lubricated Line Contact Operating at Oscillating Sliding Velocities
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
112
, No.
1
, pp.
147
152
.
10.
Johnson
K. L.
, and
Tevaarwerk
J. L.
,
1977
, “
Shear Behavior of Elastohydrodynamic Oil Films
,”
Proc. Royal Society
, London, Series A, Vol.
356
, pp.
215
236
.
11.
Johnson
K. L.
,
Greenwood
J. A.
, and
Poon
S. Y.
,
1972
, “
A Simple Theory of Asperity Contact in Elastohydrodynamic Lubrication
,”
Wear
, Vol.
19
, pp.
91
108
.
12.
Pan
P.
, and
Hamrock
B. J.
,
1989
, “
Simple Formulae for Performance of Parameters Used in Elastohydrodynamically Lubricated Line Contacts
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
112
, No.
2
, pp.
246
251
.
13.
Patir
N.
, and
Cheng
H. S.
,
1978
, “
An Average Flow Model for Determining Effects of Three-Dimensional Roughness on Partial Hydrodynamic Lubrication
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
100
, No.
1
, pp.
12
17
.
14.
Polycarpou
A.
, and
Soom
A.
,
1995
, “
Two-Dimensional Models of Boundary and Mixed Friction at a Line Contact
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
117
, No.
1
, pp.
178
184
.
15.
Rachoor
H.
, and
Harnoy
A.
,
1996
, “
Modeling of Dynamic Friction in Lubricated Line Contacts for Precise Motion Control
,”
Tribology Transactions
, Vol.
39
, No.
2
, pp.
476
482
.
16.
Sampson
J. B.
,
Morgan
F.
,
Reed
D. W.
, and
Muskat
M.
,
1943
, “
Friction Behavior During the Slip Portion of the Stick-Slip Flip Process
,”
Journal of Applied Physics
, Vol.
14
, pp.
689
700
.
17.
Whitehouse
D. J.
, and
Archard
J. F.
,
1970
, “
The Properties of Random Surfaces of Significance in Their Contact
,”
Proc. Roy. Soc.
, London, Vol.
316
, Series A, pp.
97
121
.
This content is only available via PDF.
You do not currently have access to this content.