In the second part of this paper, the application of the proposed dual-interface model to the prediction of the forced response of a blade constrained by wedge dampers will be presented. When considering cyclic loading, the induced friction forces and contact normal loads are combined so as to determine the effective stiffness and damping of the friction interfaces over a cycle of motion. The harmonic balance method is then used to impose the approximate stiffness and damping of the friction interfaces to a linear structure model of the blade. This approach results in a set of nonlinear algebraic equations that can be solved to yield the forced response of the blade excited by harmonic external forces. The predicted forced response can then be used to optimize a given damper design, namely to determine the dynamic weight at which the maximum reduction of resonant response is obtained. In order to illustrate the capacity of the proposed method and to examine its accuracy, the forced response of a test beam is examined. The prediction is also compared with the results of lab tests to validate the proposed dual-interface friction force model.

1.
Menq
C. H.
, and
Griffin
J. H.
, “
A Comparison of Transient and Steady State Finite Element Analyses of the Forced Response of a Frictionally Damped Beam
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliability In Design
, Vol.
107
, Jan.
1985
, pp.
19
25
.
2.
Bishop, R. E. D., and Johnson, D. C., The Mechanics of Vibration, Cambridge University Press, London, UK, 1960.
3.
Caughey
T. K.
, “
Sinusoidal Excitation of a System with Bilinear Hysteresis
,”
ASME Journal of Applied Mechanics
, Vol.
27
, Dec.
1960
, pp.
640
643
.
4.
Dowell
E. H.
, and
Schwartz
H. B.
, “
Forced Response of a Cantilever Beam with a Dry Friction Damper Attached, Part I: Theory
,”
Journal of Sound and Vibration
, Vol.
91
, No.
2
,
1983
, pp.
255
267
.
5.
Menq
C. H.
,
Griffin
J. H.
, and
Bielak
J.
, “
The Forced Response of Shrouded Fan Stages
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design
, Vol.
108
, Jan.
1986
, pp.
50
55
.
6.
Yang
B. D.
, and
Menq
C. H.
, “
Modeling of Friction Contact and Its Application to the Design of Shroud Contact
,”
ASME JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER
, Vol.
119
, No.
4
, Oct.
1997
, pp.
958
963
.
7.
Gelb, A., and Vander Velde, W. E., Multiple-Input Describing Functions and System Design, McGraw-Hill, NY, 1968.
8.
Fabunmi
J. A.
, “
Forced Vibration of a Single Stage Axial Compressor Rotor
,”
ASME JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER
, Vol.
102
, No.
2
,
1980
, pp.
322
329
.
9.
Griffin
J. H.
, and
Hoosac
T. M.
, “
Model Development and Statistical Investigation of Turbine Blade Mistuning
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design
, Vol.
106
, Apr.
1984
, pp.
204
210
.
10.
Menq
C. H.
, “
Modeling and Vibration Analysis of Friction Joints
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design
, Vol.
111
, Jan.
1989
, pp.
71
76
.
11.
Menq
C. H.
,
Bielak
J.
, and
Griffin
J. H.
, “
The Influence of Microslip on Vibratory Response, Part I: A New Theoretical Model
,”
Journal of Sound and Vibration
, Vol.
107
, June,
1986
, pp.
279
293
.
12.
Menq
C. H.
,
Griffin
J. H.
, and
Bielak
J.
, “
The Influence of Microslip on Vibratory Response, Part II: A Comparison with Experimental Results
,”
Journal of Sound and Vibration
, Vol.
107
, June,
1986
, pp.
295
307
.
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