In this paper, the nonlinear interaction between an eccentric squeeze film damper and an unbalanced flexible rotor is investigated, paying particular attention to the effect of cavitation in the damper. A harmonic balance method that uses the receptance functions of the rotating linear part of the system to determine periodic solutions to the nonlinear problem is used to predict vibration levels in a test rig. By comparing predictions obtained respectively with, and without, lower pressure limits for the squeeze film damper model, it is concluded that cavitation is promoted by increasing static eccentricity and/or unbalance level. This, in turn, is found to have a profound effect on the predictions for the critical vibration levels, which such dampers are designed to attenuate. Experimental results are presented to support the findings.

1.
De Santiago
,
O.
,
San Andre´s
,
L. A.
, and
Oliveras
,
J.
,
1999
, “
Imbalance Response of a Rotor Supported on Open-Ends, Integral Squeeze Film Dampers
,”
ASME J. Eng. Gas Turbines Power
,
121, 4
, pp.
718
724
.
2.
Zeidan
,
F.
, and
Vance
,
J.
,
1990
, “
Cavitation and Air Entrainment Effects on the Response of Squeeze Film Supported Rotors
,”
ASME J. Tribol.
,
109
, pp.
149
154
.
3.
Yakoub
,
R. Y.
, and
El-Shafei
,
A.
,
2001
, “
The Nonlinear Response of Multimode Rotors Supported on Squeeze Film Dampers
,”
ASME J. Eng. Gas Turbines Power
,
123
, pp.
839
848
.
4.
El-Shafei
,
A.
, and
Eranki
,
R. V.
,
1994
, “
Dynamic Analysis of Squeeze Film Damper Supported Rotors Using Equivalent Linearisation
,”
ASME J. Eng. Gas Turbines Power
,
116
, pp.
682
691
.
5.
Bonello
,
P.
,
Brennan
,
M. J.
, and
Holmes
,
R.
,
2002
, “
Non-Linear Modelling of Rotor Dynamic Systems With Squeeze Film Dampers—An Efficient Integrated Approach
,”
J. Sound Vib.
,
249
(
4
), pp.
743
773
.
6.
Chu
,
F.
, and
Holmes
,
R.
,
1998
, “
The Effect of Squeeze Film Damper Parameters on the Unbalance Response and Stability of a Flexible Rotor
,”
ASME J. Eng. Gas Turbines Power
,
120
, pp.
1
9
.
7.
Chu
,
F.
, and
Holmes
,
R.
,
2000
, “
The Damping Capacity of the Squeeze Film Damper in Suppressing the Vibration of a Rotating Assembly
,”
Tribol. Int.
,
33
(
2
), pp.
81
97
.
8.
Chu, F., 1993, The Vibration Control of a Flexible Rotor by Means of a Squeeze Film Damper, Ph.D. thesis, University of Southampton, UK.
9.
Feng
,
N. S.
, and
Hahn
,
E. J.
,
1985
, “
Density and Viscosity Models for Two-Phase Homogeneous Hydrodynamic Damper Fluids
,”
ASLE Trans.
,
29
(
3
), pp.
361
369
.
10.
Feng
,
N. S.
, and
Hahn
,
E. J.
,
1987
, “
Effects of Gas Entrainment on Squeeze Film Damper Performance
,”
ASME J. Tribol.
,
109
, pp.
149
154
.
11.
Diaz
,
S. E.
, and
San Andre´s
,
L. A.
,
1998
, “
Measurements of Pressure in a Squeeze Film Damper With an Air/Oil Bubbly Mixture
,”
STLE Tribol. Trans.
,
41
(
2
), pp.
282
288
.
12.
Sykes
,
J. E. H.
, and
Holmes
,
R.
,
1990
, “
The Effects of Bearing Misalignment on the Non-linear Vibration of Aero-engine Rotor-Damper Assemblies
,”
Proc. Inst. Mech. Eng., Part G: J. Aerospace Eng.
,
204
(
2
), pp.
83
99
.
13.
Neubert, V. H., 1987, Mechanical Impedance: Modelling/Analysis of Structures, Naval sea systems command, Code NSEA-55N.
14.
Bonello
,
P.
, and
Brennan
,
M. J.
,
2001
, “
Modelling the Dynamic Behavior of a Supercritical Rotor on a Flexible Foundation Using the Mechanical Impedance Technique
,”
J. Sound Vib.
,
239
(
3
), pp.
445
466
.
15.
Seydel, R., 1988, From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis, Elsevier Science, New York.
16.
San Andre´s
,
L. A.
, and
Vance
,
J. M.
,
1986
, “
Effects of Fluid Inertia and Turbulence on the Force Coefficients for Squeeze Film Dampers
,”
ASME J. Eng. Gas Turbines Power
,
108
, pp.
332
339
.
17.
Burghardt, M., 1998, An Investigation of The Squeeze Film Damping of A Super-Critical Rotor, M.Sc. thesis, University of Southampton, UK.
18.
Humes
,
B.
, and
Holmes
,
R.
,
1978
, “
The Role of Subatmospheric Film Pressures in the Vibration Performance of Squeeze-Film Bearings
,”
J. Mech. Eng. Sci.
,
20
(
5
), pp.
283
289
.
19.
Ewins, D. J., 1984, Modal Testing: Theory and Practice, Research Student Press, Letchworth, UK.
20.
The Mathworks Inc., 1999, MATLAB®, Version 5.3.1.29215a (R11.1).
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