This research project aims to study the nonlinear dynamic behavior of a rigid rotor supported by hydrostatic squeeze film dampers (HSFDs). The investigated HSFD consists of four hydrostatic bearing flat pads fed by capillary restrictors. A nonlinear hydrostatic squeeze film damper model is developed, and the results are compared with those obtained using a linear approach. The effect of unbalance eccentricity on the vibration response and the transmitted force of the HSFD are investigated using the linear and nonlinear models. The results show good agreement between the linear and nonlinear methods when the unbalance force is small. However, as the unbalance forces become larger, the results obtained using the linear models cease to be representative of the real behavior of rotor dynamics and a nonlinear approach must be conducted. The effects of supply pressure, viscosity, pressure ratio, and rotational speed on the response and the force transmitted to the HSFD are investigated using a nonlinear approach.

1.
Rho
,
B. H.
, and
Kim
,
K. W.
, 2002, “
A Study of the Dynamic Characteristics of Synchronously Controlled Hydrodynamic Journal Bearings
,”
Tribol. Int.
0301-679X,
35
(
5
), pp.
339
345
.
2.
Althaus
,
J.
,
Ulbrich
,
H.
, and
Jager
,
T.
, 1990, “
Active Chamber System for Control of Rotor Dynamics-Theory and Experiment
,”
Proceedings of the Third International Conference on Rotordynamics, iFToMM
,
Lyon
,
France
, pp.
333
338
.
3.
San Andres
,
L.
, and
De Santiago
,
O.
, 2004, “
Forced Response of a Squeeze Film Damper and Identification of Force Coefficients From Large Orbital Motions
,”
ASME J. Tribol.
0742-4787,
126
(
2
), pp.
292
300
.
4.
Burrows
,
C. R.
,
Sahinkaya
,
M. N.
, and
Turkay
,
O. S.
, 1984, “
An Adaptive Squeeze-Film Bearing
,”
ASME J. Tribol.
0742-4787,
106
(
1
), pp.
145
151
.
5.
El-Shafei
,
A.
, and
Hathout
,
J. P.
, 1994, “
Modelling and Control of HSFDS for Active Control of Rotor-Bearing System
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
117
(
4
), pp.
757
766
.
6.
Braun
,
M. J.
,
Zhou
,
Y. M.
, and
Choy
,
F. K.
, 1994, “
Transient Flow Patterns and Pressures Characteristics in a Hydrostatic Pocket
,”
ASME J. Tribol.
0742-4787,
116
(
1
), pp.
139
146
.
7.
Braun
,
M. J.
,
Choy
,
F. K.
, and
Zhu
,
N.
, 1995, “
Flow Patterns and Dynamic Characteristics of a Lightly Loaded Hydrostatic Pocket of Variable Aspect Ratio and Supply Jet Strength
,”
STLE Tribol. Trans.
1040-2004,
38
(
1
), pp.
128
136
.
8.
Hathout
,
J. P.
,
El-Shafei
,
A.
, and
Youssef
,
R.
, 1997, “
Active Control of Multi-Mode Rotor-Bearing Systems Using HSFDs
,”
ASME J. Tribol.
0742-4787,
119
(
1
), pp.
49
56
.
9.
Bonneau
,
O.
, 1989, “
Static and Dynamic Behavior of Rotors on Sleeve Bearings (in French)
,” Ph.D. thesis, University of Poitiers, France.
10.
Bonneau
,
O.
, and
Frêne
,
J.
, 1994, “
Numerical Study of a Flexible Rotor Mounted in an Active Squeeze Film Damper
,”
Proceedings of the Fourth International Conference on Rotor-Dynamic, IFToMM
,
Chicago, IL
, pp.
327
331
.
11.
Berger
,
S.
,
Bonneau
,
O.
, and
Frêne
,
J.
, 2001, “
Influence of Axial Thrust Bearing on the Dynamic Behavior of an Elastic Shaft: Coupling Between the Axial Dynamic Behavior and the Bending Vibration of a Flexible Shaft
,”
ASME J. Vibr. Acoust.
0739-3717,
123
(
2
), pp.
145
149
.
12.
Swanson
,
E.
,
Powell
,
C. D.
, and
Weissman
,
S.
, 2005, “
A Practical Review of Rotating Machinery Critical Speeds and Modes
,”
Sound Vib.
0038-1810,
May, pp.
10
17
.
13.
Adams
,
M. L.
, and
Zahloul
,
H.
, 1987, “
Attenuation of Rotor Vibration Using Controlled-Pressure Hydrostatic Squeeze Film Dampers
,”
Rotating Machinery Dynamics, Proceedings of the 11th Biennial ASME Conference on Mechanical Vibration and Noise
,
Boston
,
MA
, pp.
99
108
.
14.
Bouzidane
,
A.
, and
Thomas
,
M.
, 2007, “
Equivalent Stiffness and Damping Investigation of a Hydrostatic Journal Bearing
,”
STLE Tribol. Trans.
1040-2004,
50
(
2
), pp.
257
267
.
15.
Bouzidane
,
A.
, and
Thomas
,
M.
, 2008, “
An Electrorheological Hydrostatic Journal Bearing for Controlling Rotor Vibration
,”
Comput. Struct.
0045-7949,
86
(
3–5
), pp
463
472
.
16.
ISO1940-1., 1986,
Mechanical Vibration, Balance Quality Requirements of Rigid Rotors—Part 1: Determination of Permissible Residual Unbalance, International Organization for Standardization
, Geneva, Switzerland, pp.
1
14
.
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