The paper is concerned with material and microslip damping in a rotor. The horizontal rotor is carried by anisotropic bearings, which means that the shaft feels three different frequencies, the rotational frequency and the difference and the sum of the rotational and vibrational frequencies. When material damping is studied, these three frequencies lead to three different equivalent viscous damping constants and the dissipated energy can be solved analytically. The rotor slot wedges in a turbine generator are used as an example of microslip damping. In this case the damping is nonlinear and the results are obtained through numerical simulations. The results show that these two different internal damping sources give both similarities and dissimilarities. The sign change and different magnitude of the dissipated energy running sub- or supercritical are the same. However the dissipated energy for material damping is not affected by gravity which microslip damping is.

1.
Smith, D. M., 1933, “The Motion of a Rotor Carried by a Flexible Shaft in Flexible Bearings,” Proceedings of the Royal Society, series A, vol. 142, pp. 92-118.
2.
Foote
,
W. R.
,
Poritsky
,
H.
, and
Slade
,
J. J.
,
1943
, “
Critical Speeds of a Rotor with Unequal Shaft Flexibilities, Mounted in Bearings of Unequal Flexibilities
,”
ASME J. Appl. Mech.
,
65
, pp.
77
84
.
3.
Yamamoto
,
Z.
, and
Ota
,
H.
,
1964
, “
On the Unstable Vibrations of a Shaft Carrying an Unsymmetrical Rotor
,”
ASME J. Appl. Mech.
,
86
, pp.
515
522
.
4.
Black and McTernan, 1968.
5.
Messal
,
E. E.
, and
Bonthron
,
R. J.
,
1972
, “
Subharmonic Rotor Instability Due to Elastic Asymmetry
,”
ASME Journ. of Eng. for Ind.
94
, pp.
185
192
.
6.
Wettergren, H. L., 1994, “Dynamic Instability of Composite Rotors,” IFToMM Fourth International Conference on Rotor Dynamics (Chicago, Illinois, September 7–9), pp. 287–292.
7.
Wettergren
,
H. L.
, and
Olsson
,
K-O.
,
1996
, “
Dynamic Instability of a Rotating Asymmetric Shaft with Internal Viscous Damping, Supported in Anisotropic Bearings.
J. Sound Vib.
,
195
, pp.
75
84
.
8.
Hull
,
E. H.
,
1961
, “
Shaft Whirling as Influenced by Stiffness Asymmetry
,”
Int. J. Non-linear Mech.
,
83
, pp.
219
226
.
9.
Genin
,
J.
, and
Maybee
,
J. S.
,
1970
, “
External and Material Damped Three Dimensional Rotor System
,”
Int. J. Nonlinear Mech.
,
5
, pp.
287
297
.
10.
Rajalingham
,
C.
,
Bhat
,
R. B.
, and
Xistris
,
G. D.
,
1993
, “
Influence of External Damping on the Stability and Response of a Rotor with Anisotropic Bending Stiffness
,”
Tribol. Trans.
,
36
, pp.
393
398
.
11.
Walton
,
J. F.
, Jr.
, and
Martin
,
Michael R.
,
1993
, “
Internal Rotor Friction induced Instability in High-Speed Rotating Machinery
,”
ASME Vibration of Rotating Systems
,
60
, pp.
297
305
.
12.
Lazan, B. J., 1968, Damping of Materials and Members in Structural Mechanics, Pergamon Press Inc., Great Britain.
13.
Wettergren
,
H. L.
,
1997
, “
On The Behavior of Material Damping due to Multi-Frequency Excitation
,”
J. Sound Vib.
,
206
, pp.
725
735
.
14.
Csaba, G., 1998, Modelling Microslip Friction Damping and its Influence on Turbine Blade Vibrations, Linko¨ping University, PhD Thesis No. 519, Sweden.
15.
Mindlin, R. D., Mason, W. P., Osmer, J. F., and Deresiewicz, H., 1952, “Effects of an Oscillating Tangential Force on the Contact Surfaces of Elastic Spheres,” 1st. US National Congress of Applied Mechanics (Chicago III, 1951), New York, ASME, pp. 203–208.
16.
Wettergren
,
H. L.
,
1998
, “
Optimal Design to Reduce Dynamic Instability of a Turbine Generator due to Microslip
,”
J. Sound Vib.
,
214
, pp.
57
66
.
17.
Wettergren
,
H. L.
, and
Csaba
,
G.
,
1999
, “
Dynamic Instability of a Turbine Generator due to Microslip
,”
ASME J. Vibr. Acoust.
,
121
, pp.
162
168
.
18.
Csaba, G., 1995, “Friction Damping of Turbine Blade Vibrations Using a Microslip Model,” Proceedings of the International Conference on Vibration and Noise, 25 to 27 April, pp. 775–785.
19.
Iwan
,
W. D.
,
1967
, “
On a Class of Models for the Yielding Behavior of Continuous and Composite Systems
,”
ASME J. Appl. Mech.
,
34
, September, pp.
612
617
.
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