A theoretical study of stick-slip motion is provided in the present paper. The study focuses on the influence of the friction-speed relation and the effects of driving speed and damping force of the system on the behavior of the stick-slip motion. The two latter effects are characterized by the speed parameter, Sp, and the damping ratio,ξ, respectively. The results show that, for a system undergoing nonuniform motion, the vibratory frequency increases and the amplitude decreases as the speed parameter increases. For two contacting sliding surfaces, there exists an inversion state at which the stick-slip motion disappears. The magnitude of the negative slope of the friction-speed relation near Vr = 0 is shown to have significant effect on the occurrence of the stick-slip motion.

Issue Section:
Research Papers
Topics:
Friction, Stick-slip, Damping
1.
Bo
L. C.
, and
Pavelescu
D.
,
1982
, “
The Friction-Speed Relation and Its Influence on the Critical Velocity of Stick-Slip Motion
,”
Wear
, Vol.
82
, pp.
277
–
289
.
2.
Gao
C.
, and
Kuhlmann-Wilsdorf
D.
,
1990
, “
On Stick-Slip and the Velocity Dependence of Friction at Low Speeds
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
112
, pp.
354
–
360
.
3.
Hess
D. P.
, and
Soom
A.
,
1990
, “
Friction at a Lubricated Line Contact Operating at Oscillating Sliding Velocities
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
112
, pp.
147
–
152
.
4.
Klamecki
B. E.
,
1985
, “
A Catastrophe Theory Description of Stick-Slip Motion in Sliding
,”
Wear
, Vol.
101
, pp.
325
–
332
.
5.
Kato
S.
, and
Matsubayashi
T.
,
1970
, “
On the Dynamic Behavior of Machine Tool Slideway, 1st report, Characteristics of Static Friction in Stick-slip Motion
,”
Bulletin of JSME
, Vol.
13
, No.
55
, pp.
170
–
179
.
6.
Kato
S.
,
Sato
N.
, and
Matsubayashi
T.
,
1972
, “
Some Considerations on Characteristics of Static Friction of Machine Tool Sideway
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
94
, No.
3
, pp.
234
–
247
.
7.
Kato
S.
,
Yamaguchi
K.
, and
Matsubayashi
T.
,
1974
, “
Stick-Slip Motion of Machine Tool Slideway
,”
ASME Journal of Engineering for Industry
, Vol.
96
, pp. No.
2
, pp.
557
–
566
.
8.
Oden
J. T.
, and
Martin
J. A. C.
,
1985
, “
Models and Computational Methods for Dynamic Friction Phenomena
,”
Computer Methods in Applied Mechanics and Engineering
, Vol.
52
, pp.
527
–
634
.
9.
Richardson
R. S. H.
, and
Nolle
H.
,
1976
, “
Surface Friction under Time-Dependent Loads
,”
Wear
, Vol.
37
, pp.
87
–
101
.
10.
Sakamoto
T.
,
1987
, “
Normal Displacement and Dynamic Friction Characteristics in a Stick-Slip Process
,”
Trib. Intl.
, Vol.
20
, pp.
25
–
31
.
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