Abstract

In recent years, there has been a demand for turbomachinery with increasing speed, pressure, and compactness owing to the increasing demand for high output and efficiency. Consequently, various shaft vibration problems have become apparent. The rotor dynamic (RD) forces are one of the causes of these axial vibrations, which can lead to instability of the rotor system. To ensure the reliability of turbomachinery, the effect of RD fluid force should be analyzed at the design stage. In this study, high-precision tracking control of a complex orbit was analyzed using an experimental approach, and a highly efficient and low-dispersion estimation of the RD fluid force was achieved. The target was a parallel annular seal, and an experimental system was developed to control the rotor position using a piezo-electric actuator. Using the adaptive feedforward cancellation (AFC), we suppressed the periodic disturbance caused by rotation, whirling, and disturbances, such as noise that existed uniformly at all frequencies. Thus, a high-precision tracking control with an orbit tracking error of approximately 1 μm was achieved. The RD fluid force was estimated from the output signal of the AFC during high-precision tracking control, and the RD coefficient was calculated using spectral analysis. Consequently, a highly accurate RD fluid force estimation with reduced dispersion was achieved. In addition, a multifrequency orbit control and RD fluid force estimation method were developed to improve the efficiency of the RD force estimation, which agreed well with the results of a single-frequency orbit.

References

1.
Childs
,
D.
, and
Moyer
,
D.
,
1985
, “
Vibration Characteristics of the HPOTP (High-Pressure Oxygen Turbopump) of the SSME (Space Shuttle Main Engine)
,”
ASME J. Eng. Gas Turbines Power
,
107
(
1
), pp.
152
159
.10.1115/1.3239676
2.
Childs
,
D.
,
1978
, “
The Space Shuttle Main Engine High-Pressure Fuel Turbopump Rotordynamic Instability Problem
,”
ASME J. Eng. Gas Turbines Power
,
100
(
1
), pp.
48
57
.10.1115/1.3446326
3.
Iwatsubo
,
T.
,
Ono
,
M.
, and
Tsuzimoto
,
Y.
,
1994
, “
Study on Static and Dynamic Properties of Parallel Annular Seals With Static Eccentricity
,”
Trans. Jpn. Soc. Mech. Eng.
,
60
(
580
), pp.
4136
4141
.10.1299/kikaic.60.4136
4.
Iwatsubo
,
T.
,
Motooka
,
N.
, and
Kawai
,
R.
,
1983
, “
Unstable Vibration of Rotating Shaft With Labyrinth Seal: 1st Report, Experimental, and Theoretical Analysis of Fluid Forces in a Seal Using a Liquid Model
,”
Trans. Jpn. Soc. Mech. Eng.
,
49
(
441
), pp.
719
726
.10.1299/kikaic.49.719
5.
Childs
,
D.
,
1983
, “
Dynamic Analysis of Turbulent Annular Seals Based on Hirs' Lubrication Equation
,”
ASME J. Tribol.
,
105
(
3
), pp.
429
436
.10.1115/1.3254633
6.
Moore
,
J.
,
2003
, “
Three-Dimensional CFD Rotordynamic Analysis of Gas Labyrinth Seals
,”
ASME J. Vib. Acoust.
,
125
(
4
), pp.
427
433
.10.1115/1.1615248
7.
Yan
,
X.
,
Li
,
J.
, and
Feng
,
Z.
,
2011
, “
Investigations on the Rotordynamic Characteristics of a Hole-Pattern Seal Using Transient CFD and Periodic Circular Orbit Model
,”
ASME J. Vib. Acoust.
,
133
(
4
), p.
041007
.10.1115/1.4003403
8.
Li
,
Z.
,
Li
,
J.
, and
Yan
,
X.
,
2013
, “
Multiple Frequencies Elliptical Whirling Orbit Model and Transient RANS Solution Approach to Rotordynamic Coefficients of Annual Gas Seals Prediction
,”
ASME J. Vib. Acoust.
,
135
(
3
), p.
031005
.10.1115/1.4023143
9.
Iwatsubo
,
T.
,
Sheng
,
C.
, and
Matsumoto
,
T.
,
1988
, “
An Experimental Study on the Static and Dynamic Characteristics of Pump Annular Seals
,” NASA, Lewis Research Center, Rotordynamic Instability Problems in High-Performance Turbomachinery, Cleveland, OH.
10.
Weatherwax
,
M.
, and
Childs
,
D.
,
2003
, “
Theory Versus Experiment for the Rotordynamic Characteristics of a High Pressure Honeycomb Annular Gas Seal at Eccentric Positions
,”
ASME J. Tribol.
,
125
(
2
), pp.
422
429
.10.1115/1.1504093
11.
Kuroki
,
Y.
,
Uchiumi
,
M.
,
Nagao
,
N.
, and
Inoue
,
H.
,
2014
, “
Rotor Dynamic Characteristics of Mechanical Seals
,”
Proceedings of the Lecture Session of the Division of Fluid Engineering
, Toyama, Japan, Oct. 25–26, The Japan Society of Mechanical Engineers.
12.
Griebel
,
C.
,
2021
, “
Rotordynamic Behavior of Leaf Seals: Measurement of Frequency-Dependent Force Coefficients for Varying Inlet Parameters
,”
ASME J. Eng. Gas Turbines Power
,
143
(
6
), p.
061002
.10.1115/1.4048054
13.
Bounneau
,
O.
,
2008
, “
A New Test Rig to Characterize Turbo-Pump Fluid Components
,”
Fifth International Spacecraft Propulsion Conference
, Heraklion Greece, May 5–8.
14.
Yabui
,
S.
, and
Inoue
,
T.
,
2019
, “
Development of a Measurement System for Analyzing Periodic External Forces Acting on Rotating Machineries
,”
ASME J. Dyn. Syst., Meas., Control
,
141
(
10
), p.
101008
.10.1115/1.4043759
15.
Yabui
,
S.
, and
Inoue
,
T.
,
2018
, “
Development of Optimal Controller Design Method to Compensate for Vibrations Caused by Unbalanced Force in Rotor System Based on Nyquist Diagram
,”
J. Vib. Control
,
25
(
4
), pp.
793
805
.10.1177/1077546318797173
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