Abstract

The stiffness and damping coefficients of fluid film bearings play a key role in predicting levels of vibration and stability margins in high-performance industrial rotating machinery. However, variability in the coefficients calculated by numerical bearing codes creates inaccuracies in the rotodynamic predictions. Therefore, there is a strong need for accurate experimental measurement of bearing coefficients for validation purposes. This work examines new propagation uncertainty strategies in bearing coefficients estimation, and for the first time examines the effect of the nonlinearity of the dynamic coefficients on the experimental uncertainty estimated by the Taylor Series Method. The Montecarlo method is presented as a more accurate approach to estimating experimental uncertainty. The results of the analyses are compared to published values from previously reported studies. This paper also proposes a novel method to convert the random behavior in the output of a sensor in the time domain to the frequency domain. It is found this conversion is quite beneficial for the accuracy of the coefficients; in one example, uncertainty estimations of ±84% are reduced to just ±6%, when using the proposed method. This work also reveals that the uncertainty estimations from the Taylor Series Method are not entirely reliable, without additional checks of nonlinearity, and that converting data to the frequency domain, by using the novel method here, is useful for achieving smaller uncertainty estimations than with traditional methodology.

Graphical Abstract Figure
Graphical Abstract Figure
Close modal

References

1.
ANSI/API Recommended Practice 684
,
2010
,
API Standard Paragraphs Rotordynamic Tutorial: Lateral Critical Speeds, Unbalance Response, Stability, Train Torsionals, and Rotor Balancing
,
American Petroleum Institute
,
Washington, DC
.
2.
Jia
,
C.
,
Pang
,
H.
,
Ma
,
W.
, and
Qiu
,
M.
,
2017
, “
Dynamic Stability Prediction of Spherical Spiral Groove Hybrid Gas Bearings Rotor System
,”
ASME J. Tribol.
,
139
(
2
), p.
021701
.
3.
Bhattacharya
,
A.
,
Dutt
,
J.
, and
Pandey
,
R.
,
2017
, “
Influence of Hydrodynamic Journal Bearings With Multiple Slip Zones on Rotordynamic Behavior
,”
ASME J. Tribol.
,
139
(
6
), p.
061701
.
4.
Lund
,
J. W.
,
1974
, “
Stability and Damped Critical Speeds of a Flexible Rotor in Fluid-Film Bearings
,”
ASME J. Eng. Ind.
,
96
(
2
), pp.
509
517
.
5.
Chen
,
C.
,
Jing
,
J.
,
Cong
,
J.
,
Dai
,
Z.
, and
Cheng
,
J.
,
2020
, “
Influence of Fluid Film Boundary Migration on Dynamic Coefficients of Journal Bearings and Behavior of Rotor System
,”
ASME J. Tribol.
,
142
(
10
), p.
101801
.
6.
Tiwari
,
R.
,
Lees
,
A.
, and
Friswell
,
M.
,
2004
, “
Identification of Dynamic Bearing Parameters: A Review
,”
Shock Vib. Dig.
,
36
(
2
), pp.
99
124
.
7.
Kostrzewsky
,
G. J.
, and
Flack
,
R. D.
,
1990
, “
Accuracy Evaluation of Experimental Derived Dynamic Coefficients of Fluid-Film Bearings, Part I: Development of the Method
,”
Tribol. Trans.
,
33
(
1
), pp.
105
114
.
8.
Kline
,
S. J.
, and
McClintock
,
F. A.
,
1953
, “
Describing Uncertainties in Single-Sample Experiments
,”
Mech. Eng.
,
75
, pp.
3
8
.
9.
Wygant
,
K.
,
Barrett
,
L.
, and
Flack
,
R.
,
1999
, “
Influence of Pad Pivot Friction on Tilting-Pad Journal Bearing Measurements Part II: Dynamic Coefficients
,”
Tribol. Trans.
,
42
(
1
), pp.
250
256
.
10.
Rouvas
,
C.
,
Murphy
,
B. T.
, and
Hale
,
R. K.
,
1992
, “
Bearing Parameter Identification Using Power Spectral Density Methods
,”
Proceedings of the 5th International Conference on Vibration in Rotating Machinery, IMechE
,
Bath, UK
,
Sept. 7–10
, pp.
297
303
.
11.
San Andres
,
L.
, and
Delgado
,
A.
,
2007
, “
Identification of Force Coefficients in a Squeeze Film Damper With a Mechanical End Seal—Centered Circular Orbit Tests
,”
ASME J. Tribol.
,
129
(
3
), pp.
660
668
.
12.
Pereira
,
H.
, and
Nicoletti
,
R.
,
2019
, “
Design of Tilting-Pad Journal Bearings Considering Bearing Clearance Uncertainty and Reliability Analysis
,”
ASME J. Tribol.
,
141
(
1
), p.
011703
.
13.
Barsanti
,
M.
,
Ciulli
,
E.
, and
Forte
,
P.
,
2019
, “
Random Error Propagation and Uncertainty Analysis in the Dynamic Characterization of Tilting Pad Journal Bearings
,”
J. Phys.: Conf. Ser.
,
1264
(
1
), p.
012035
.
14.
Kocur
,
J.
,
Nicholas
,
J.
, and
Chester
,
L.
,
2007
, “
Surveying Tilting Pad Journal Bearings and Gas Labyrinth Seal Coefficients and Their Effect on Rotor Stability
,”
Proceedings of the 36th Turbomachinery Symposium
,
Houston, TX
,
Sept. 10–13
.
15.
Ikeda
,
K.
,
Hirano
,
T.
,
Yamashita
,
T.
,
Mikami
,
M.
, and
Sakakida
,
H.
,
2006
, “
An Experimental Study of Static and Dynamic Characteristics of a 580 mm (22.8 in) Diameter Direct Lubrication Tilting Pad Journal Bearing
,”
ASME J. Tribol.
,
128
(
1
), pp.
146
154
.
16.
Yamada
,
H.
,
Taura
,
H.
, and
Kaneko
,
S.
,
2018
, “
Numerical and Experimental Analyses of the Dynamic Characteristics of Journal Bearings With Square Dimples
,”
ASME J. Tribol.
,
140
(
1
), p.
011703
.
17.
ASME PTC 19.1
,
2013
,
Test Uncertainty
,
The American Society of Mechanical Engineers
,
New York
.
18.
JCGM 100
,
2008
,
Evaluation of Measurement Data—Guide to the Expression of Uncertainty in Measurement (ISO-IEC Guide 98-3), 2008
,
Joint Committee for Guides in Metrology
.
19.
Kostrzewsky
,
G.
,
Taylor
,
D.
, and
Flack
,
R.
,
1993
, “
A Hydrodynamic Journal Bearing Test Rig With Dynamic Measuring Capabilities
,”
Tribol. Trans.
,
36
(
4
), pp.
497
512
.
20.
He
,
M.
,
2003
, “
Thermoelastohydrodynamic Analysis of Fluid Film Journal Bearings
,”
PhD thesis
,
University of Virginia
,
Charlottesville
.
21.
Robinson
,
L.
,
Arauz
,
G.
, and
San Andres
,
L.
,
1995
, “
A Test Rig for the Identification of Rotordynamic Coefficients of Fluid Film Bearing Elements
,”
ASME 1995 International Gas Turbine and Aeroengine Congress and Exposition
,
Houston, TX
,
June 5–8
.
22.
Delgado
,
A.
,
2010
, “
Identification of Force Coefficients in a Squeeze Film Damper With a Mechanical Seal
,”
Master’s thesis
,
Texas A&M University
.
23.
Sawicki
,
J.
, and
Rao
,
T.
,
2004
, “
Nonlinear Prediction of Rotordynamic Coefficients for a Hydrodynamic Journal Bearing
,”
Int. J. Rotating Mach.
,
10
(
6
), pp.
507
513
.
24.
Saidi
,
P.
,
2019
,
Theory, Application, and Implementation of Monte Carlo Method in Science and Technology
,
IntechOpen
,
London, UK
.
25.
Burrows
,
C.
, and
Sahinkaya
,
M.
,
1982
, “
Frequency-Domain Estimations of Linearized Oil Film Coefficients
,”
ASME J. Lubr. Technol.
,
104
(
2
), pp.
210
215
.
26.
Sinha
,
J.
,
2021
, “Signal Processing,”
Industrial Approaches in Vibration-Based Condition Monitoring
,
CRC Press
,
Hoboken, NJ
,
Chap. 5
.
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