The present investigation focused on the estimation of the parameters of a structural model to represent “at best” a set of measurements of the steady state response of a mistuned bladed disk. The applicability of the least squares and maximum likelihood approaches to the identification of the bladed disk model from this data is first investigated. The advantages and drawbacks of these techniques motivate the introduction of a new mixed least squares-maximum likelihood formulation which is shown to recover well the true model parameters from noisy simulated response data.

Issue Section:
Research Papers
Topics:
Disks, Steady state
1.
Basu
P.
, and
Griffin
J. H.
,
1986
, “
The Effects of Limiting Aerodynamic and Structural Coupling in Models of Mistuned Bladed Disk Vibration
,”
ASME JOURNAL OF VIBRATION, ACOUSTICS, STRESS, AND RELIABILITY IN DESIGN
, Vol.
108
, pp.
132
–
139
.
2.
Griffin
J. H.
, and
Hoosac
T. M.
,
1984
, “
Model Development and Statistical Investigation of Turbine Blade Mistuning
,”
ASME JOURNAL OF VIBRATION, ACOUSTICS, STRESS, AND RELIABILITY IN DESIGN
, Vol.
106
, pp.
204
–
210
.
3.
Griffin
J. H.
, and
Sinha
A.
,
1985
, “
The Interaction Between Mistuning and Friction in the Forced Response of Bladed Disk Assemblies
,”
ASME Journal of Engineering for Gas Turbines and Power
, Vol.
107
, pp.
205
–
211
.
4.
Kawashima, T., linuma, H., Wakatsuki, and Minagawa, N., 1992, “Turbine Blade Vibration Monitoring System,” 37th International Gas Turbine and Aeroengine Congress and Exposition, Cologne, Germany, Jun. 1–4, ASME Paper 92-GT-159.
5.
Lin
C. C.
, and
Mignolet
M. P.
,
1996
, “
Effects of Damping and Damping Mistuning on the Forced Vibration Response of Bladed Disks
,”
Journal of Sound and Vibration
, Vol.
193
, No.
2
, pp.
525
–
543
.
6.
Ljung, L., 1987, System Identification: Theory for the User, Prentice-Hall, Englewood Cliffs, NJ.
7.
Mignolet
M. P.
, and
Lin
C. C.
,
1993
, “
The Combined Closed Form—Perturbation Approach to the Analysis of Mistuned Bladed Disks
,”
Journal of Turbomachinery
, Vol.
115
, pp.
771
–
780
.
8.
Sinha
A.
,
1986
, “
Calculating the Statistics of Forced Response of a Mistuned Bladed Disk Assembly
,”
AIAA Journal
, Vol.
24
, No.
11
, pp.
1797
–
1801
.
9.
Sinha, A., and Chen, S., 1988, “Probabilistic Analysis of Forced Response of a Bladed Disk Assembly with Various Mistuning Distributions,” Proceedings of the 29th Structures, Structural Dynamics and Materials Conference, Williamsburg, VA, Apr. 18–20, Part III, pp. 1487–1494.
10.
Sinha
A.
, and
Chen
S.
,
1989
, “
A Higher Order Technique to Compute the Statistics of Forced Response of a Mistuned Bladed Disk
,”
Journal of Sound and Vibration
, Vol.
130
, No.
2
, pp.
207
–
221
.
11.
Wei
S.-T.
, and
Pierre
C.
,
1988
, “
Localization Phenomena in Mistuned Assemblies with Cychc Symmetry—Part II; Forced Vibrations
,”
ASME JOURNAL OF VIBRATION, ACOUSTICS, STRESS, AND RELIABILITY IN DESIGN
, Vol.
110
, No.
4
, pp.
439
–
449
.
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