In this paper, the rotational vibration of a belt drive system with a dry friction tensioner subjected to multiple harmonic excitations is studied. The work is focused on the impact of the dry friction torque combined with the multiexcitation frequencies on dynamic characteristics of the system. An analytical solution procedure is developed for the first time to predict two kinds of periodic responses of the system, i.e., nonstop and one-stop motion characterized by the nonstick and stick-slip vibration of the tensioner arm in the system, respectively. Utilizing this method, parametric studies are carried out to obtain the frequency response of a prototypical belt drive system subjected to harmonic excitations from both the driving and driven pulleys. It is found that the tensioner Coulomb friction torque has a significant impact on the amplitude response of the system—it reduces the vibration amplitude of the tensioner arm, but for other components in the belt system it can either decrease or increase the amplitudes under different situations. Furthermore, if the excitation frequency from the driving pulley is larger than or equal to that from the driven pulley, the system vibration amplitudes are much larger than those under the opposite condition.

Issue Section:
Technical Papers
Keywords:
stiction, torque, damping, vibrations
Topics:
Belts, Coulombs, Dry friction, Excitation, Pulleys, Torque, Vibration, Stick-slip
1.
Hawker, L. E., 1991, “A Vibration Analysis of Automotive Serpentine Accessory Drive System,” Ph.D. dissertation, University of Windsor, Ontario, Canada.
2.
Barker, C. R., Oliver, L. R., and Brieg, W. F., 1991, “Dynamic Analysis of Belt Drive Tension Forces During Rapid Engine Acceleration,” SAE Paper No. 910687.
3.
Hwang
,
S.-J.
,
Perkins
,
N. C.
,
Ulsoy
,
A. G.
, and
Meckstroth
,
R. J.
,
1994
, “
Rotational Response and Slip Prediction of Serpentine Belt Drive Systems
,”
ASME J. Vibr. Acoust.
,
116
, pp.
71
–
78
.
4.
Beikmann
,
R. S.
,
Perkins
,
N. C.
, and
Ulsoy
,
A. G.
,
1996
, “
Free Vibration of Serpentine Belt Drive Systems
,”
ASME J. Vibr. Acoust.
,
118
, pp.
406
–
413
.
5.
Kraver
,
T. C.
,
Fan
,
G. W.
, and
Shah
,
J. J.
,
1996
, “
Complex Modal Analysis of a Flat Belt Pulley System With Belt Damping and Coulomb-Damped Tensioner
,”
ASME J. Mech. Des.
,
118
, pp.
306
–
311
.
6.
Iwatsubo
,
T.
, and
Hasegawa
,
K.
,
1997
, “
The Formulation and Dynamic Analysis of a Multiple Belt System
,”
J. Sound Vib.
,
205
, pp.
293
–
307
.
7.
Shaw
,
S. W.
,
1986
, “
On the Dynamic Response of a System With Dry Friction
,”
J. Sound Vib.
,
108
, pp.
305
–
325
.
8.
Popp
,
K.
, and
Stelter
,
P.
,
1990
, “
Stick-Slip Vibrations and Chaos
,”
Philos. Trans. R. Soc. London, Ser. A
,
332
, pp.
89
–
105
.
9.
Feeny
,
B. F.
, and
Moon
,
F. C.
,
1994
, “
Chaos in a Forced Oscillator With Dry Friction: Experiments and Numerical Modeling
,”
J. Sound Vib.
,
170
, pp.
303
–
323
.
10.
Natsiavas
,
S.
,
1998
, “
Stability of Piecewise Linear Oscillators With Viscous and Dry Friction Damping
,”
J. Sound Vib.
,
217
(
3
), pp.
507
–
522
.
11.
Leamy, M. J., Perkins, N. C., Barber, J. R., and Meckstroth, R. J., 1997, “Influence of Tensioner Friction on Accessory Drive Dynamics,” SAE Paper No. 971962.
12.
Leamy
,
M. J.
, and
Perkins
,
N. C.
,
1998
, “
Nonlinear Periodic Response of Engine Accessory Drives With Dry Friction Tensioners
,”
ASME J. Vibr. Acoust.
,
120
, pp.
909
–
916
.
13.
Pierre
,
C.
,
Ferri
,
A. A.
, and
Dowell
,
E. H.
,
1985
, “
Multi-Harmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method
,”
ASME J. Appl. Mech.
,
52
, pp.
958
–
964
.
14.
Mook
,
D. T.
,
Plaut
,
R. H.
, and
Haquang
,
N.
,
1986
, “
The Influence of an Internal Resonance on Nonlinear Structural Vibration Under Combination Resonance Conditions
,”
J. Sound Vib.
,
104
, pp.
229
–
241
.
15.
Nayfeh
,
A. H.
,
1984
, “
Combination Tones in the Response of Single Degree-of-Freedom Systems With Quadratic and Cubic Nonlinearities
,”
J. Sound Vib.
,
92
, pp.
379
–
386
.
16.
Van Dooren
,
R.
,
1971
, “
Combination Tones of Summed Type in a Nonlinear Damped Vibratory System With Two Degrees of Freedom
,”
Int. J. Non-Linear Mech.
,
6
, pp.
237
–
254
.
17.
Eneremadu
,
K. O.
, and
Zu
,
J. W.
,
1997
, “
Stability of Nonlinear Two-Frequency Oscillation of Cylindrical Shells
,”
J. Eng. Mech. Div.
,
123
, pp.
1034
–
1040
.
18.
Wang
,
Y. X.
,
1998
, “
Multifrequency Resonances of Flexible Linkages
,”
Mech. Mach. Theory
,
33
, pp.
255
–
271
.
19.
Fung
,
R. F.
,
1997
, “
The Effect of Non-Linear Inertia on the Steady State Response of a Beam System Subjected to Combined Excitations
,”
J. Sound Vib.
,
203
, pp.
373
–
387
.
20.
Maccari
,
A.
,
1999
, “
Non-Linear Oscillation with Multiple Resonant or Non-Resonant Forcing Terms
,”
Int. J. Non-Linear Mech.
,
34
, pp.
27
–
34
.
21.
Nichols
,
J. M.
, and
Virgin
,
L. N.
,
2001
, “
Practical Evaluation of Invariant Measures for the Chaotic Response of a Two-Frequency Excited Mechanical Oscillator
,”
Nonlinear Dyn.
,
26
, pp.
67
–
86
.
22.
Den Hartog
,
J. P.
,
1931
, “
Forced Vibrations With Combined Coulomb and Viscous Friction
,”
Trans. ASME
,
53
, pp.
107
–
115
.
23.
Iwatsubo
,
T.
, and
Hasegawa
,
K.
,
1997
, “
The Formulation and Dynamic Analysis of a Multiple Belt System
,”
J. Sound Vib.
,
205
, pp.
293
–
307
.
Copyright © 2003
 by ASME
You do not currently have access to this content.