This paper presents a technique for vibration suppression in a rotordynamic system. The approach implemented involves using a DC motor for simultaneous torque and radial force actuation. Here, the rotor is supported via passive permanent magnetic bearings. The permanent magnets are arranged so that, for small motions, the rotor can be treated as a spinning top that is supported radially by linear springs. The device includes an axial flux, three phase, brushless DC motor that is used to produce a torque. The same motor is also used to develop radial forces to control the vibration of the rotor. This is accomplished by using two phases of the motor for torque generation, and one phase to produce radial forces. The paper develops a set of equations that can be used to predict the radial force generated by the motor coils. These equations are used to implement a feedback control system to regulate the radial position of the rotor. Experiments are conducted to verify the coil force equations and demonstrate the effectiveness of the feedback control scheme.

1.
Bansal, P. N. and Kirk, R. G., “Stability and Damped Critical Speeds of Rotor-Bearing Systems,” ASME Journal for Industry, pp. 1325–1332, 1975
2.
Gash
R.
,
1976
, “
Vibration of Larger Turbo-Rotors in Fluid-Film Bearings on an Elastic Foundation
,”
Journal of Sound and Vibration
, Vol.
47
, pp.
53
7
, 1976.
3.
Sonnichsen, H., “Ensuring spin test safety,” Mechanical Engineering Magazine, pp. 72–76, December 1993.
4.
Stienmier
J. D.
,
Thielman
S.
and
Fabien
B. C.
, “
Analysis and control of a flywheel energy storage system with a hybrid magnetic bearing
,”
ASME Journal of Dynamic Systems Measurement and Control
, Vol.
119
, pp.
650
656
,
1997
.
5.
Shen
J. Y.
and
Fabien
B. C.
, “
Optimal control of a flywheel energy storage system
,”
Journal of the Franklin Institute
, vol.
339
, pp.
189
210
,
2002
.
6.
Cole
M. O. T.
,
Keogh
P. S.
and
Burrows
C. R.
, “
Vibration control of a flexible rotor/magnetic bearing system subject to direct forcing and base motion disturbances
,”
Proceedings of the Institution of Mechanical-Engineers, Part C, Journal of Mechanical Engineering Science
, Vol.
212
(
C7
), pp.
535
546
,
1998
.
7.
Okada
Y.
,
Shimizu
K.
and
Ueno
S.
, “
Vibration control of flexible rotor by inclination control magnetic bearings with axial self-bearing motor
,”
IEEE/ASME Transactions on Mechatronics
, Vol.
6
, pp.
521
524
,
2001
.
8.
Matsushita
O.
,
Imashima
T.
,
Hisanaga
Y.
and
Okubo
H.
, “
Aseismic vibration control of flexible rotors using active magnetic bearing
,”
ASME Journal of Vibration and Acoustics
, Vol.
124
, pp.
49
57
,
2002
.
9.
Okada
Y.
,
Miyamoto
S.
and
Ohishi
T.
, “
Levitation and torque control of internal permanent magnet type bearingless motor
,”
IEEE Transactions on Control Systems Technology
, Vol.
4
, pp.
565
571
,
1996
.
10.
Ooshima
M.
,
Chiba
A.
,
Fukao
T.
and
Rahman
A.
, “
Design and analysis of permanent magnet-type bearingless motors
,”
IEEE Transactions on Industrial Electronics
, Vol.
43
, pp.
292
299
,
1996
.
11.
Ahrens
M.
,
Kucera
L.
and
Larsonneur
, “
Performance of a magnetically suspended flywheel energy storage device
,”
IEEE Transactions on Control Systems Technology
, Vol.
4
, pp.
494
502
,
1996
.
12.
Mukhopadhyay
S.
,
Ohji
T.
,
Iwahara
M.
and
Yamada
S.
, “
Modeling and control of a new horizontal-shaft hybrid-type magnetic bearing
,”
IEEE Transactions on Industrial Electronics
, Vol.
47
, pp.
100
108
,
2000
.
13.
Zhu
H.
and
Sun
Y.
, “
Application and study of optimal control theory in control system of active magnetic bearings
,”
Control Theory & Applications
. Vol.
19
, pp.
479
483
,
2002
.
14.
Zhou
S.
and
Shi
J.
, “
Imbalance Estimation for Speed-Varying Rigid Rotors Using Time-Varying Observer
,”
ASME Journal of Dynamic Systems Measurement and Control
, Vol.
123
, pp.
637
644
,
2001
.
15.
Mizuno, T. and Higuchi, T., “Structure of magnetic bearing control system for compensating unbalance force,” Dynamics of Controlled Mechanical Systems, IUTAM/IFAC Symposium Zurich/Switzerland 1998, pp. 135–145, 1989.
16.
Kim
J-S.
and
Lee
C-W.
, “
Constrained output feedback control of flexible rotor-bearing systems
,”
Journal of Sound and Vibration
, Vol.
138
, pp.
95
114
,
1990
.
17.
Herzog
R.
,
Buhler
P.
and
Gahler
C.
, “
Unbalance compensation using generalized notch filters in the multivariable feedback of magnetic bearings
,”
IEEE Transactions on Control Systems Technology
, Vol.
4
, pp.
580
586
,
1996
.
18.
Lum
K.
,
Coppola
V.
and
Bernstein
D.
, “
Adaptive autocentering control for an active magnetic bearing supporting a rotor with unknown mass imbalance
,”
IEEE Transactions on Control Systems Technology
, Vol.
4
, pp.
587
597
,
1996
.
19.
Smith, R. J., Circuits devices and systems, John Wiley and Sons, 1976.
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