The nature of dry-friction whip and whirl is investigated through experimental and numerical methods. A test rig was designed and constructed to demonstrate and record the character of multimode dry-friction whip and whirl. These tests examined steady-state whip and whirl characteristics for a variety of rub materials and clearances. A simulation model was constructed using tapered Timoshenko beam finite elements to form multiple-degree-of-freedom rotor and stator models. These models were reduced by component mode synthesis to discard high-frequency modes while retaining physical coordinates at the rub location to model rotor-stator interaction using a nonlinear contact model with Coulomb friction. Simulations were performed for specific test cases, and compared against experimental data; these comparisons are favorable. Experimental data analysis showed multiple whirl and whip regions, despite claims of previous investigators that these regions are predicted analytically but not produced in simulations or experiments. Spectral analysis illustrates the presence of harmonic sidebands that accompany the fundamental whirl solution. These sidebands are more evident in whip, and can excite higher-frequency whirl solutions.

1.
Rosenblum
,
V. I.
, 1995, “
Entstehung mehrfacher Wellenbrüche nach dem Bruch einer Laufschaufel oder Radscheibe bei Dampfturbinen
,”
Allianz Report
,
68
(
5
), pp.
176
179
.
2.
Johnson
,
D. C.
, 1962, “
Synchronous Whirl of a Vertical Shaft Having Clearance in One Bearing
,”
J. Mech. Eng. Sci.
0022-2542,
4
(
1
), pp.
85
93
.
3.
Billett
,
R. A.
, 1965, “
Shaft Whirl Induced by Dry Friction
,”
The Engineer
,
29
, pp.
713
714
.
4.
Black
,
H. F.
, 1967, “
Synchronous Whirling of a Shaft Within a Radially Flexible Annulus Having Small Radial Clearance
,”
Proc. Inst. Mech. Eng.
0020-3483,
181
(
4
), pp.
65
73
.
5.
Black
,
H. F.
, 1968, “
Interaction of a Whirling Rotor With a Vibrating Stator Across a Clearance Annulus
,”
J. Mech. Eng. Sci.
0022-2542,
10
(
1
), pp.
1
12
.
6.
Zhang
,
W.
, 1988, “
Dynamic Instability of Multi-Degree-of-Freedom Flexible Rotor Systems Due to Full Annular Rub
,”
Proc. Inst. Mech. Eng., IMechE Conf.
,
C252
(
88
), pp.
305
308
.
7.
Lingener
,
A.
, 1990, “
Experimental Investigation of Reverse Whirl of a Flexible Rotor
,”
Proceedings of the 3rd IFToMM International Conference on Rotordynamics
, Lyon, France, pp.
13
18
.
8.
Crandall
,
S.
, 1990, “
From Whirl to Whip in Rotordynamics
,”
Proceedings of the 3rd IFToMM International Conference on Rotordynamics
, Lyon, France, pp.
19
26
.
9.
Choi
,
Y. S.
, 2002, “
Investigation on the Whirling Motion of Full Annular Rub
,”
J. Sound Vib.
0022-460X,
258
(
1
), pp.
191
198
.
10.
Dyck
,
B. J.
, 2007, “
Experimental Study of Dry-Friction Whirl and Whip for a Rotor Supported by and Annular Rub Surface
,” NGST Project Report.
11.
Bartha
,
A. R.
, 1998, “
Dry Friction Induced Backward Whirl: Theory and Experiment
,”
Proceedings of the Fifth IFToMM Conference on Rotor Dynamics
,
Vieweg Publishers
,
Braunschweig, Germany
, pp.
756
767
.
12.
Bartha
,
A. R.
, 2000, “
Dry Friction Backward Whirl of Rotors
,” Dissertation ETH Paper No. 13817, ETH Zurich.
13.
Yu
,
J. J.
,
Goldman
,
P.
, and
Bently
,
D.
, 2000, “
Rotor/Seal Experimental and Analytical Study of Full Annular Rub
,” ASME Paper No. 2000-GT-389.
14.
Childs
,
D. W.
, and
Bhattacharya
,
A.
, 2007, “
Prediction of Dry-Friction Whirl and Whip Between a Rotor and a Stator
,”
ASME J. Vibr. Acoust.
0739-3717,
129
, pp.
355
362
.
15.
Grabowski
,
R.
,
Chapman
,
L.
,
Crease
,
G.
,
Friant
,
J.
,
Gualtieri
,
G.
,
Kmiec
,
T.
,
Kincaid
,
K.
, and
Rodriguez
,
J.
, 2000, “
Testing of an Advanced Liquid Hydrogen Turbopump
,” Paper No. AIAA-2000-3678.
16.
Childs
,
D. W.
, 2004, private correspondence.
17.
Den Hartog
,
J. P.
, 1956,
Mechanical Vibrations
, 4th ed.,
McGraw-Hill
,
New York
.
18.
Lu
,
X.
, and
Khonsari
,
M. M.
, 2007, “
An Experimental Study of Grease-Lubricated Journal Bearings Undergoing Oscillatory Motion
,”
Trans. ASME, J. Tribol.
0742-4787,
129
(
3
), pp.
640
646
.
19.
Bijak-Zochowski
,
M.
, and
Marek
,
P.
, 1997, “
Residual Stress in Some Elasto-Plastic Problems of Rolling Contact With Friction
,”
Int. J. Mech. Sci.
0020-7403,
39
(
1
), pp.
15
32
.
20.
Nelson
,
H. D.
, 1980, “
A Finite Rotating Shaft Element Using Timoshenko Beam Theory
,”
ASME J. Mech. Des.
0161-8458,
102
(
4
), pp.
793
803
.
21.
Hunt
,
K. H.
, and
Crossley
,
F. R.
, 1975, “
Coefficient of Restitution Interpreted as Damping in Vibroimpact
,”
ASME J. Appl. Mech.
0021-8936,
42
, pp.
440
445
.
22.
Beatty
,
R. F.
, 1985, “
Differentiating Rotor Response Due to Radial Rubbing
,”
ASME J. Vib., Acoust., Stress, Reliab. Des.
0739-3717,
107
, pp.
151
160
.
23.
Wilkes
,
J. C.
, 2008, “
A Perspective on the Numerical and Experimental Characteristics of Multi-Mode Dry-Friction Whip and Whirl
,” M.S. thesis, Texas A&M University, College Station, TX.
You do not currently have access to this content.