A great deal of research has been conducted on the effects of small random variations in structural properties, known as mistuning, in single stage bladed disks. Due to the inherent randomness of mistuning and the large dimensionality of the models of industrial bladed disks, a reduced order modeling approach is required to understand the effects of mistuning on a particular bladed disk design. Component mode mistuning (CMM) is an efficient compact reduced order modeling method that was developed to handle this challenge in single stage bladed disks. In general, there are multiple stages in bladed disk assemblies, and it has been demonstrated that for certain frequency ranges accurate modeling of the entire bladed disk assembly is required because multistage modes exist. In this work, a statistical characterization of structural mistuning in multistage bladed disks is carried out. The results were obtained using CMM combined with a multistage modeling approach previously developed. In addition to the statistical characterization, a new efficient classification method is detailed for characterizing the properties of a mode. Also, the effects of structural mistuning on the characterization of the mode is explored.

References

1.
Castanier
,
M. P.
, and
Pierre
,
C.
, 2006, “
Modeling and Analysis of Mistuned Bladed Disk Vibration: Status and Emerging Directions
,”
J. Propul. Power
,
22
, pp.
384
396
.
2.
Ewins
,
D. J.
, 1969, “
The Effects of Detuning Upon the Forced Vibrations of Bladed Disks
,”
J. Sound Vib.
9
(
1
), pp.
65
79
.
3.
Dye
,
R. C. F.
, and
Henry
,
T. A.
, 1969, “
Vibration Amplitudes of Compressor Blades Resulting From Scatter in Blade Natural Frequencies
,”
ASME J. Eng. Power
,
91
(
3
), pp.
182
188
.
4.
Griffin
,
J. H.
, and
Hoosac
,
T. M.
, 1984, “
Model Development and Statistical Investigation of Turbine Blade Mistuning
,”
ASME J. Vib., Acoust., Stress, Reliab. Des.
,
106
(
2
), pp.
204
210
.
5.
Wei
,
S.-T.
, and
Pierre
,
C.
, 1988, “
Localization Phenomena in Mistuned Assemblies With Cyclic Symmetry Part I: Free Vibrations
,”
ASME J. Vib., Acoust., Stress, Reliab. Des.
,
110
, pp.
429
438
.
6.
Wei
,
S.-T.
, and
Pierre
,
C.
, 1988, “
Localization Phenomena in Mistuned Assemblies With Cyclic Symmetry Part II: Forced Vibrations
,”
ASME J. Vib., Acoust., Stress, Reliab. Des.
,
110
, pp.
439
449
.
7.
Hurty
,
W. C.
, 1965, “
Dynamic Analysis of Structural Systems Using Component Modes
,”
AIAA J.
,
3
(
4
), pp.
678
685
.
8.
Craig
,
R. R.
, and
Bampton
,
M. C. C.
, 1968, “
Coupling of Substructures for Dynamic Analyses
,”
AIAA J.
,
6
(
7
), pp.
1313
1319
.
9.
Craig
,
R. R.
and
Chang
,
C.-J.
, 1976, “
Free-Interface Methods of Substructure Coupling for Dynamic Analysis
,”
AIAA J.
,
14
(
11
), pp.
1633
1635
.
10.
Irretier
,
H.
, 1983, “
Spectral Analysis of Mistuned Bladed Disk Assemblies by Component Mode Synthesis
,”
Vibrations of Bladed Disk Assemblies
,
D. J.
Ewins
and
A. V.
Srinivasan
, eds.,
ASME
,
New York
, pp.
115
125
.
11.
Zheng
,
Z.-C.
, and
Wang
,
F.-R.
, 1985, “
Dynamic Analysis of Blade Groups Using Component Mode Synthesis
,”
Vibrations of Blades and Bladed Disk Assemblies
,
R. E.
Kielb
and
N. F.
Rieger
, eds.,
AMSE
,
New York
, pp.
97
103
.
12.
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
,
123
, pp.
893
900
.
13.
Lim
,
S.-H.
,
Bladh
,
R.
,
Castanier
,
M. P.
, and
Pierre
,
C.
, 2007, “
Compact, Generalized Component Mode Mistuning Representation for Modeling Bladed Disk Vibration
,”
AIAA J.
,
45
(
9
), pp.
2285
2298
.
14.
Sinha
,
A.
, 2008, “
Reduced-Order Model of a Mistuned Multi-stage Bladed Rotor
,”
Int. J. Turbo Jet Engines
,
25
(
3
), pp.
145
153
.
15.
Bladh
,
R.
,
Castanier
,
M. P.
, and
Pierre
,
C.
, 2003, “
Effects of Multistage Coupling and Disk Flexibility on Mistuned Bladed Disk Dynamics
,”
ASME J. Eng. Gas Turbines Power
,
125
(
1
), pp.
121
130
.
16.
Song
,
S. H.
,
Castanier
,
M. P.
, and
Pierre
,
C.
, 2005, “
Multi-stage Modeling of Turbine Engine Rotor Vibration
,” ASME Paper No. DETC2005-85740.
17.
Song
,
S. H.
,
Castanier
,
M. P.
, and
Pierre
,
C.
, 2005, “
Multi-stage Modeling of Mistuned Turbine Engine Rotor Vibration
,”
Proceedings of the NATO AVT-121 Symposium on Evaluation, Control and Prevention of High Cycle Fatigue in Gas Turbine Engines for Land, Sea, and Air
, RTO-MP-AVT-121-P-06.
18.
Song
,
S. H.
,
Castanier
,
M. P.
, and
Pierre
,
C.
, 2007, “
System Identification of Multistage Turbine Engine Rotors
,” ASME Paper No. GT2007-28307.
19.
Song
,
S. H.
, 2007, “
Vibration Analysis and System Identification of Mistuned Multistage Turbine Engine Rotors
,” Ph.D. thesis, The University of Michigan.
20.
Laxalde
,
D.
,
Thouverez
,
F.
, and
Lombard
,
J.-P.
, 2007, “
Dynamical Analysis of Multi-stage Cyclic Structures
,”
Mech. Res. Commun.
,
34
(
4
), pp.
379
384
.
21.
Laxalde
,
D.
,
Lombard
,
J.-P.
, and
Thouverez
,
F.
, 2007, “
Dynamics of Multistage Bladed Disks Systems
,”
ASME J. Eng. Gas Turbines Power
,
129
(
4
), pp.
1058
1064
.
22.
Chatelet
,
E.
,
D’Ambrosio
,
F.
, and
Jacquet-Richardet
,
G.
, 2005, “
Toward Global Modeling Approaches for Dynamic Analyses of Rotating Assemblies of Turbomachines
,”
J. Sound Vib.
,
282
(
1–2
), pp.
163
178
.
23.
Turhan
,
O.
, and
Bulut
,
G.
, 2006, “
Linearly Coupled Shaft-Torsional and Blade-Bending Vibrations in Multi-stage Rotor-blade Systems
,”
J. Sound Vib.
,
296
(
1–2
), pp.
292
318
.
24.
Rzadkowski
,
R.
, and
Sokolowski
,
J.
, 2005, “
Coupling Effects Between the Shaft and Two Bladed-Discs
,”
Advances in Vibration Engineering
,
4
(
3
), pp.
249
266
.
25.
Rzadkowski
,
R.
, and
Drewczynski
,
M.
, 2009, “
Coupling of Vibration of Several Bladed Discs on the Shaft, Part I: Free Vibration Analysis
,”
Advances in Vibration Engineering
,
8
(
2
), pp.
125
137
.
26.
Segui
,
B.
, and
Casanova
,
E.
, (2007), “
Application of a Reduced Order Modeling Technique for Mistuned Bladed Disk-Shaft Assemblies
,” ASME Paper No. GT2007-27594.
27.
D’Souza
,
K.
,
Saito
,
A.
, and
Epureanu
,
B. I.
, 2010, “
Reduced-Order-Modeling for Nonlinear Analysis of Cracked Mistuned Multi-stage Bladed Disk Systems
,” AIAA Journal (submitted).
28.
Bladh
,
R.
, 2001, “
Efficient Predictions of the Vibratory Response of Mistuned Bladed Disks by Reduced Order Modeling
,” Ph.D. thesis. Mechanical Engineering Department, The University of Michigan.
29.
Bladh
,
R.
,
Castanier
,
M. P.
, and
Pierre
,
C.
, 2001, “
Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks—Part I: Theoretical Models
,”
ASME J. Eng. Gas Turbines Power
,
123
(
1
), pp.
89
99
.
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