Accurate structural modeling of blisk mistuning is critical for the analysis of forced response in turbomachinery. Apart from intentional mistuning, mistuning can be due to the manufacturing tolerances, corrosion, foreign object damage, and in-service wear in general. It has been shown in past studies that mistuning can increase the risk of blade failure due to energy localization. For weak blade to blade coupling, this localization has been shown to be critical and higher amplitudes of vibration are expected in few blades. This paper presents a comparison of three reduced order models (ROMs) for the structural modeling of blisks. Two of the models assume cyclic symmetry, while the third model is free of this assumption. The performance of the reduced order models for cases with small and large amount of mistuning will be examined. The benefits and drawbacks of each reduction method will be discussed.

References

1.
Óttarson
,
G. S.
, and
Pierre
,
C.
,
1995
, “
On the Effects of Interblade Coupling on the Statistics of Maximum Forced Response Amplitudes in Mistuned Bladed Disks
,” 36th
AIAA/ASME/ASCE/AHS
Structures, Structural Dynamics, and Materials Conference
, Vol.
5
, pp.
3070
3078
.
2.
Castanier
,
M. P.
,
Ottarsson
,
G.
, and
Pierre
,
C.
,
1997
, “
A Reduced Order Modeling Technique for Mistuned Bladed Disks
,”
ASME J. Vib. Acoust.
,
119
(
3
), pp.
439
447
.
3.
Bladh
,
R.
,
Castanier
,
M. P.
, and
Pierre
,
C.
,
2000
, “
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
.
4.
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
,
124
(
4
), pp.
942
952
.
5.
Brown
,
J. M.
,
2008
, “
Reduced Order Modeling Methods for Turbomachinery Design
,”
Ph.D. thesis
, Wright State University, Dayton, OH.
6.
Guyan
,
R. J.
,
1965
, “
Reduction of Stiffness and Mass Matrices
,”
AIAA J.
,
3
(
2
), p.
380
.
7.
Mayorca
,
M. A.
,
2011
, “
Numerical Methods for Turbomachinery Aeromechanical Predictions
,”
Ph.D. thesis
, KTH, Royal Institute of Technology, Stockholm, Sweden.
8.
Yang
,
M.-T.
, and
Griffin
,
J.
,
2001
, “
A Reduced-Order Model of Mistuning Using a Subset of Nominal System Modes
,”
ASME J. Eng. Gas Turbines Power
,
123
(
4
), pp.
893
900
.
9.
Feiner
,
D.
, and
Griffin
,
J.
,
2002
, “
A Fundamental Model of Mistuning for a Single Family of Modes
,”
ASME J. Turbomach.
,
124
(
4
), pp.
597
605
.
10.
Martel
,
C.
,
Corral
,
R.
, and
Llorens
,
J. M.
,
2008
, “
Stability Increase of Aerodynamically Unstable Rotors Using Intentional Mistuning
,”
ASME J. Turbomach.
,
130
(
1
), p.
011006
.
11.
Sinha
,
A.
,
2009
, “
Reduced-Order Model of a Bladed Rotor With Geometric Mistuning
,”
ASME J. Turbomach.
,
131
(
3
), p.
031007
.
12.
Craig
,
R. R.
, and
Bampton
,
M. C. C.
,
1968
, “
Coupling of Substructures for Dynamic Analyses
,”
AIAA J.
,
6
(
7
), pp.
1313
1319
.
13.
Mårtensson
,
H.
,
Burman
,
J.
, and
Ulf
,
J.
,
2007
, “
Design of the High Pressure Ratio Transonic 112 Stage Fan Demonstrator Hulda
,”
ASME
Paper No. GT2007-27793.
14.
Craig
,
R. R.
, and
Kurdila
,
A.
,
2006
,
Fundamentals of Structural Dynamics
, 1st ed.,
Wiley
,
Hoboken, NJ
.
15.
Bladh
,
R.
,
2001
, “
Efficient Predictions of the Vibratory Response of Mistuned Bladed Disks by Reduced Order Modeling
,”
Ph.D. thesis
, University of Michigan, Ann Arbor, MI.
16.
Sternchuss
,
A.
, and
Balmes
,
E.
,
2006
, “
On the Reduction of Quasi-Cyclic Disk Models With Variable Rotation Speeds
,”
Paper No. ISMA-ID 397
.
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