The objective of this paper is to experimentally investigate the instability of an over-hung rigid centrifuge rotor partially filled with fluid. Specific emphasis has been placed on the developing process of rotor instability, the dynamical behavior of the rotor system while the instability occurs, and the frequency and direction of rotor whirl within the unstable region of rotational speeds. The effects of fluid-fill ratio on the rotor whirl frequency, the extent of the unstable region of rotational speeds, and the rotor imbalance are also studied. The detailed results clarify some issues and show some new phenomena on the instability of a rotor partially filled with fluid. The phenomena include: sub-synchronous frequency that does not result in instability of the rotor system and disappears in the unstable region at the larger fluid-fill ratios; different whirl frequencies entering the unstable region for slowly increasing and decreasing rotational speed operations; variable whirl frequency within the unstable region; hysteresis at the upper bound of the unstable region; and a break-down of the fluid free-surface.

1.
Kollmann
,
F. G.
,
1962
, “
Experimentelle und theoretische Untersuchungen uber die Kritischen Drehzahlen flussigkeitsgefulter Hohlkorper
,”
Forschund auf dem Gebiete des Ingenieurweasns, Ausgabe, B
,
2
, pp.
115
123
, and pp. 147–153.
2.
Wolf
, Jr.,
J. A.
,
1968
, “
Whirl Dynamics of a Rotor Partially Filled with Liquid
,”
ASME J. Appl. Mech.
,
35
, pp.
676
682
.
3.
Lichtenberg
,
G.
,
1982
, “
Vibrations of an Elastically Mounted Spinning Rotor Partially Filled with Liquid
,”
ASME J. Mech. Des.
,
104
, pp.
389
396
.
4.
Hendricks
,
S. L.
,
1986
, “
Stability of a Clamped Free-Rotor Partially Filled with Liquid
,”
ASME J. Appl. Mech.
,
53
, pp.
166
172
.
5.
Hendricks
,
S. L.
, and
Morton
,
J. B.
,
1979
, “
Stability of a Rotor Partially Filled with a Viscous Incompressible Fluid
,”
ASME J. Appl. Mech.
,
46
, pp.
913
918
.
6.
Saito
,
S.
, and
Someya
,
T.
,
1980
, “
Self-Excited Vibration of a Rotational Hollow Shaft Partially Filled with Liquid
,”
ASME J. Mech. Des.
,
102
, pp.
185
192
.
7.
Holm-Christensen
,
O.
, and
Tra¨ger
,
K.
,
1991
, “
A Note of Instability Caused by Liquid Motions
,”
ASME J. Appl. Mech.
,
58
, pp.
804
811
.
8.
Cheng
,
C. A.
,
Berman
,
A. S.
, and
Lundgren
,
T. S.
,
1985
, “
Asynchronous Instability of a Rotational Centrifuge Partially Filled with Fluid
,”
ASME J. Appl. Mech.
,
52
, pp.
777
782
.
9.
Kaneko
,
S.
, and
Hayama
,
S.
,
1985
, “
Self-Excited Oscillation of a Hollow Rotational Shaft Partially Filled with a Liquid
,”
Bull. JSME
,
28
, pp.
2994
3001
.
10.
Ota
,
H.
,
Ishida
,
Y.
,
Sato
,
A.
, and
Yamada
,
T.
,
1986
, “
Experiments on Vibrations of a Hollow Rotor Partially Filled with Fluid
,”
Bull. JSME
,
29
, pp.
3520
3529
.
11.
Ehrich, F. F., 1999, Handbook of Rotordynamics, Hrieger Publishing Company, Inc.
12.
Goldman
,
P.
, and
Muszynska
,
A.
,
1994
, “
Chaotic Behavior of Rotor/Stator Systems with Rubs
,”
ASME J. Eng. Gas Turbines Power
,
116
, pp.
692
701
.
13.
Ehrich
,
F. F.
,
1988
, “
High Order Sub-harmonic Response of High Speed Rotors in Bearing Clearance
,”
ASME J. Vib., Acoust., Stress, Reliab. Des.
,
110
, pp.
9
16
.
14.
Berman
,
A. S.
,
Lundgren
,
T. S.
, and
Cheng
,
A.
,
1985
, “
Asynchronous Whirl in a Rotational Cylinder Partially Filled with Liquid
,”
J. Fluid Mech.
,
150
, pp.
311
327
.
15.
Bolotin, V. V., 1963, Nonconservative Problems of the Theory of Elastic Stability, Macmillan Company, NY.
You do not currently have access to this content.