A method has been developed for high-accuracy analysis of forced response levels for mistuned bladed disks vibrating in gas flow. Aerodynamic damping, the interaction of vibrating blades through gas flow, and the effects of structural and aerodynamic mistuning are included in the bladed disk model. The method is applicable to cases of high mechanical coupling of blade vibration through a flexible disk and, possibly shrouds, to cases with stiff disks and low mechanical coupling. The interaction of different families of bladed disk modes is included in the analysis providing the capability of analyzing bladed disks with pronounced frequency veering effects. The method allows the use of industrial-size sector models of bladed disks for analysis of forced response of a mistuned structure. The frequency response function matrix of a structurally mistuned bladed disk is derived with aerodynamic forces included. A new phenomenon of reducing bladed disk forced response by mistuning to levels that are several times lower than those of their tuned counterparts is revealed and explained.

1.
Ewins
,
D. J.
, 1991, “
The Effects of Blade Mistuning on Vibration Response—A Survey
,”
IFToMM Fourth International Conference on Rotordynamics
, Prague, Czechoslovakia.
2.
Slater
,
J. C.
,
Minkiewicz
,
G. R.
, and
Blair
,
A. J.
, 1999, “
Forced Response of Bladed Disk Assemblies—A Survey
,”
Shock Vib. Dig.
0583-1024,
31
(
1
), pp.
17
24
.
3.
Castanier
,
M.
, and
Pierre
,
C.
, 2006, “
Modelling and Analysis of Mistuned Bladed Disk Vibration: Status and Emerging Directions
,”
J. Propul. Power
0748-4658,
22
(
2
), pp.
384
396
.
4.
Yang
,
M. -T.
, and
Griffin
,
J. H.
, 2001, “
A Reduced-Order Model of Mistuning Using a Subset of Nominal System Modes
,”
ASME: J. Eng. Gas Turbines Power
0742-4795,
123
, pp.
893
900
.
5.
Petrov
,
E. P.
,
Sanliturk
,
K. Y.
, and
Ewins
,
D. J.
, 2002, “
A New Method for Dynamic Analysis of Mistuned Bladed Discs Based on Exact Relationship Between Tuned and Mistuned Systems
,”
ASME: J. Eng. Gas Turbines Power
0742-4795,
124
(
3
), pp.
586
597
.
6.
Bladh
,
R.
, and
Pierre
,
C.
, 2002, “
Dynamic Response Predictions for a Mistuned Industrial Turbomachinery Rotor Using Reduced-Order Modeling
,”
ASME: J. Eng. Gas Turbines Power
0742-4795,
124
, pp.
311
324
.
7.
Moyroud
,
F.
,
Fransson
,
T.
, and
Jacquet-Richardet
,
G.
, 2002, “
A Comparison of Two Finite Element Reduction Techniques for Mistuned Bladed Disks
,”
ASME: J. Eng. Gas Turbines Power
0742-4795,
124
, pp.
942
952
.
8.
Feiner
,
D. M.
, and
Griffin
,
J. H.
, 2002, “
A Fundamental Model of Mistuning for a Single Family of Modes
,”
ASME J. Turbomach.
0889-504X,
124
, pp.
597
605
.
9.
Ewins
,
D. J.
, 1969, “
Effect of Detuning Upon the Forced Vibration of Bladed Discs
,”
J. Sound Vib.
0022-460X,
9
(
1
), pp.
65
79
.
10.
Petrov
,
E.
, and
Ewins
,
D.
, 2003, “
Analysis of the Worst Mistuning Patterns in Bladed Disc Assemblies
,”
ASME J. Turbomach.
0889-504X,
125
(
4
), pp.
623
631
.
11.
Whitehead
,
D. S.
, 1966, “
Effect of Mistuning on the Vibration of Turbomachines Induced by Wakes
,”
J. Mech. Eng. Sci.
0022-2542,
8
(
1
), pp.
15
21
.
12.
Nikolic
,
M.
,
Petrov
,
E. P.
, and
Ewins
,
D. J.
, 2008, “
Robust Strategies for Forced Response Reduction of Bladed Discs Based on Large Mistuning Concept
,”
ASME: J. Eng. Gas Turbines Power
0742-4795,
130
, p.
022501
.
13.
Jones
,
W. J.
, and
Cross
,
C. J.
, 2002, “
Reducing Mistuned Bladed Disk Forced Response Below Tuned Resonant Amplitudes
,”
Seventh National Turbine Engine High Cycle Fatigue Conference
, Palm Beach, FL.
14.
Castanier
,
M. P.
, and
Pierre
,
C.
, 1997, “
Consideration on the Benefits of Intentional Blade Mistuning for the Forced Response of Turbomachinery Rotors
,”
Proceedings of the ASME Aerospace Division
, AD-Vol.
55
, pp.
419
425
.
15.
Kenyon
,
J. A.
, and
Griffin
,
J. H.
, 2000, “
Intentional Harmonic Mistuning for Robust Forced Response of Bladed Disks
,”
Fifth National Turbine Engine High Cycle Fatigue Conference
, Chandler, AZ.
16.
Mignolet
,
M. P.
,
Hu
,
W.
, and
Jadic
,
I.
, 2000, “
On the Forced Response of Harmonically and Partially Mistuned Bladed Disks, Part I: Harmonic Mistuning; Part II: Partial Mistuning and Applications
,”
Int. J. Rotating Mach.
1023-621X,
6
(
1
), pp.
29
56
.
17.
Kielb
,
R. E.
, and
Kaza
,
K. R. V.
, 1984, “
Effects of Structural Coupling on Mistuned Cascade Flutter and Response
,”
ASME: J. Eng. Gas Turbines Power
0742-4795,
106
, pp.
17
24
.
18.
Hoyniak
,
D.
, and
Fleeter
,
S.
, 1986, “
The Effect of Circumferential Aerodynamic Detuning on Coupled Bending-Torsional Unstalled Supersonic Flutter
,”
ASME J. Turbomach.
0889-504X,
108
, pp.
253
260
.
19.
Nowinski
,
M.
, and
Panovsky
,
J.
, 1998, “
Flutter Mechanisms in Low-Pressure Turbine Blades
,” ASME Paper No. 98-GT-573.
20.
Bendiksen
,
O.
, 1984, “
Flutter of Mistuned Turbomachinery Rotors
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
106
, pp.
25
34
.
21.
Kahl
,
G.
, 1998, “
Structural Mistuning and Aerodynamic Coupling in Turbomachinery Bladings
,”
Unsteady Aerodynamics and Aeroelasticity of Turbomachines
,
T. H.
Fransson
, ed.,
Kluwer Academic
,
Dordrecht
, pp.
335
346
.
22.
Willcox
,
K.
, and
Peraire
,
J.
, 2002. “
Application of Reduced-Order Aerodynamic Modeling to the Analysis of Structural Uncertainty in Bladed Disks
,”
Proceedings of ASME Turbo Expo 2002
, Amsterdam, The Netherlands, Jun.
23.
Kielb
,
R. E.
,
Feiner
,
D. M.
,
Griffin
,
J. H.
, and
Miyakozava
,
T.
, 2004, “
Probabilistic Analysis of Mistuned Bladed Disks and Blisks With Aerodynamic and FMM Structural Coupling
,”
Proceedings of the Ninth National Turbine Engine HCF Conference
, Pinehurst, NC, Mar. 16–19.
24.
Kielb
,
R. E.
,
Miyakozava
,
T.
, and
Hall
,
K. C.
, 2008, “
The Effects of Aerodynamic Asymmetric Perturbations on Forced Response of Bladed Disks
,” ASME Paper No. GT2008-50719.
25.
He
,
Z.
,
Epureanu
,
B.
, and
Pierre
,
C.
, 2007, “
Fluid-Structural Coupling Effects on the Dynamics of Mistuned Bladed Disks
,”
AIAA J.
0001-1452,
45
(
3
), pp.
552
561
.
26.
Sayma
,
A.
,
Vahdati
,
M.
,
Sbardella
,
L.
, and
Imregun
,
M.
, 2000, “
Modeling of Three-Dimensional Viscous Compressible Turbomachinery Flows Using Unstructured Hybrid Grids
,”
AIAA J.
0001-1452,
38
(
6
), pp.
945
954
.
27.
Petrov
,
E. P.
, and
Ewins
,
D. J.
, 2005, “
Method for Analysis of Nonlinear Multiharmonic Vibrations of Mistuned Bladed Discs With Scatter of Contact Interface Characteristics
,”
ASME J. Turbomach.
0889-504X,
127
(
1
), pp.
128
136
.
28.
Petrov
,
E.
,
Di Mare
,
L.
,
Hennings
,
H.
, and
Elliott
,
R.
, 2010, “
Forced Response of Mistuned Bladed Disks in Gas Flow: A Comparative Study of Predictions and Full-Scale Experimental Results
,
ASME J. Eng. Gas Turbines Power
0742-4795,
132
(
5
), p.
052504
.
29.
Sladojevic
,
I.
,
Petrov
,
E.
,
Sayma
,
A.
, and
Imregun
,
M.
, 2006, “
Forced Response Variation of Aerodynamically and Structurally Mistuned Turbo-Machinery Rotors
,” ASME Paper No. GT2006-90948.
30.
Sladojevic
,
I.
,
Petrov
,
E.
,
Sayma
,
A.
,
Imregun
,
M.
, and
Green
,
J.
, 2005, “
Investigation of the Influence of Aerodynamic Coupling on Response Levels of Mistuned Bladed Discs With Weak Structural Coupling
,” ASME Paper No. GT2005-69050.
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