In this paper, forced responses of a frictionally damped turbine blade are investigated for three different types of excitation: white noise excitation, narrowband random excitation, and deterministic sinusoidal excitation. To determine the steady-state nonlinear response, the harmonic balance method is used for sinusoidal excitation, and the equivalent linearization method is used for white noise and narrowband random excitations. Using a new set of nondimensionalized variables, the optimal value of normal load of a friction damper is found to be almost independent of the nature of excitation. The effectiveness of the damper in reducing the vibration level is also examined for the aforementioned three different types of excitation.

1.
Griffin
,
J. H.
,
1980
, “
Friction Damping of Resonant Stresses in Gas Turbine Engine Airfoils
,”
ASME J. Eng. Gas Turbines Power
,
102
, pp.
329
333
.
2.
Srinivasan
,
A. V.
, and
Cutts
,
D. G.
,
1983
, “
Dry Friction Damping Mechanisms in Engine Blades
,”
ASME J. Eng. Gas Turbines Power
,
105
, pp.
332
341
.
3.
Menq
,
C.-H.
,
Griffin
,
J. H.
, and
Bielak
,
J.
,
1986
, “
The Influence of a Variable Normal Load on the Forced Vibration of a Frictionally Damped Structure
,”
ASME J. Eng. Gas Turbines Power
,
108
, pp.
300
305
.
4.
Cameron
,
T. M.
,
Griffin
,
J. H.
,
Kielb
,
R. E.
, and
Hoosac
,
T. M.
,
1990
, “
An Integrated Approach for Friction Damper Design
,”
ASME J. Vibr. Acoust.
,
112
, pp.
175
182
.
5.
Sanliturk
,
K. Y.
,
Imregun
,
M.
, and
Ewins
,
D. J.
,
1997
, “
Harmonic Balance Vibration Analysis of Turbine Blades With Friction Dampers
,”
ASME J. Vibr. Acoust.
,
119
, pp.
96
103
.
6.
Asano
,
K.
, and
Iwan
,
W. D.
,
1984
, “
An Alternative Approach to the Random Response of Bilinear Hysteretic Systems
,”
J. Earthquake Eng. Struct. Dyn.
,
12
, pp.
229
236
.
7.
Sinha
,
A.
, 1990, “Friction Damping of Random Vibration in Gas Turbine Engine Airfoils,” International Journal of Turbo and Jet Engines, 7, pp. 95–102.
8.
Roberts, J. B., and Spanos, P. D., 1990, Random Vibration and Statistical Linearization, Chichester: John Wiley and Sons, Chichester.
9.
Whitehead, D. S., 1960, “
The Analysis of Blade Vibration due to Random Excitation,” Reports and Memoranda R & M 3253, Cambridge University, Cambridge, UK.
10.
Sogliero
,
G.
, and
Srinivasan
,
A. V.
,
1980
, “
Fatigue Life Estimates of Mistuned Blades via a Stochastic Approach
,”
AIAA J.
,
18
(
83
), pp.
318
323
.
11.
Minkiewicz, G., and Russler, P., 1997, “
Dynamic Response of Low Aspect Ratio Blades in a Two Stage Transonic Compressor,” AIAA Paper No. 97-3284.
12.
Chen
,
S.
, and
Sinha
,
A.
,
1990
, “
Probabilistic Method to Compute the Optimal Slip Load for a Mistuned Bladed Disk Assembly With Friction Dampers
,”
ASME J. Vibr. Acoust.
,
112
, pp.
214
221
.
13.
Socha
,
L.
, and
Soong
,
T. T.
,
1991
, “
Linearization in Analysis of Nonlinear Stochastic Systems
,”
Appl. Mech. Rev.
,
44
, pp.
399
422
.
14.
Griffin
,
J. H.
, and
Sinha
,
A.
,
1985
, “
The Interaction Between Mistuning and Friction in the Forced Response of Bladed Disk Assemblies
,”
ASME J. Eng. Gas Turbines Power
,
107
, pp.
205
211
.
15.
MATLAB Manual, 1995, The MathWorks, Inc.
16.
Deo, N., 1980, System Simulation With Digital Computer, Prentice-Hall, Englewood Cliffs, NJ, pp. 153–154.
You do not currently have access to this content.