The frequency mistuning that occurs due to manufacturing variations and wear and tear of the blades has been shown to significantly affect the flutter and forced response behavior of a blade row. While tuned computational fluid dynamics (CFD) analyses are now an integral part of the design process, designers need a fast method to evaluate the localized high blade responses due to mistuning. In this research, steady and unsteady analyses are conducted on the second-stage rotor of an axial compressor, excited at the first torsion vibratory mode. A deterministic mistuning analysis is conducted using the numerical modal forces and the individual blade frequencies obtained experimentally by tip timing data. The mistuned blade responses are compared in the physical and traveling wave coordinates to the experimental data. The individual and combined impacts of frequency, aerodynamic, and forcing function perturbations on the predictions are assessed, highlighting the need to study mistuned systems probabilistically.

References

1.
Srinivasan
,
A.
,
1997
, “
Flutter and Resonant Vibration Characteristics of Engine Blades
,”
ASME J. Eng. Gas Turbines Power
,
119
(
4
), pp.
742
775
.
2.
Castanier
,
M.
, and
Pierre
,
C.
,
2006
, “
Modeling and Analysis of Mistuned Bladed Disk Vibration: Status and Emerging Directions
,”
J. Propul. Power
,
22
(
2
), pp.
384
396
.
3.
Kielb
,
R.
, and
Kaza
,
K.
,
1983
, “
Aeroelastic Characteristics of a Cascade of Mistuned Blades in Subsonic and Supersonic Flows
,”
ASME J. Vib. Acoust.
,
105
(
4
), pp.
425
433
.
4.
Sladojevic
,
I.
,
Sayma
,
A.
, and
Imregun
,
M.
,
2007
, “
Influence of Stagger Angle Variation on Aerodynamic Damping and Frequency Shifts
,”
ASME
Paper No. GT2007-28166.
5.
Ekici
,
K.
,
Kielb
,
R.
, and
Hall
,
K.
,
2010
, “
Forced Response Analysis of Aerodynamically Asymmetric Cascades
,”
46th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit
,
Nashville, TN
, July 25–28,
AIAA
Paper No. 2010-6535.
6.
Fleeter
,
S.
, and
Hoyniak
,
D.
,
1989
, “
Aeroelastic Detuning for Stability Enhancement of Unstalled Supersonic Flutter
,”
Int. J. Turbo Jet Engines
,
6
(
1
), pp.
17
26
.
7.
Kielb
,
R.
, and
Kaza
,
K.
,
1984
, “
Effects of Structural Coupling on Mistuned Cascade Flutter and Response
,”
ASME J. Eng. Gas Turbines Power
,
106
(
1
), pp.
17
24
.
8.
Feiner
,
D.
, and
Griffin
,
J.
,
2003
, “
Mistuning Identification of Bladed Disks Using a Fundamental Mistuning Model-Part 1: Theory
,”
ASME J. Turbomach.
,
126
(
1
), pp.
159
165
.
9.
Miyakozawa
,
T.
,
Kielb
,
R.
, and
Hall
,
K.
,
2009
, “
The Effects of Aerodynamic Asymmetric Perturbations on Forced Response of Bladed Disks
,”
ASME J. Turbomach.
,
131
(
4
), p.
041008
.
10.
Kielb
,
R.
,
Griffin
,
J.
,
Feiner
,
D.
, and
Miyakozawa
,
T.
,
2004
, “
Flutter of Mistuned Bladed Disks and Blisks With Aerodynamic and FMM Structural Coupling
,”
ASME
Paper No. GT2004-54315.
11.
Kaza
,
K.
, and
Kielb
,
R.
,
1982
, “
Flutter and Response of a Mistuned Cascade in Incompressible Flow
,”
AIAA J.
,
20
(
8
), pp.
1120
1127
.
12.
Fulayter
,
R. D.
,
2004
, “
An Experimental Investigation of Resonant Response of Mistuned Fan and Compressor Rotors Utilizing NSMS
,” Ph.D. thesis, Purdue University, West Lafayette, IN.
13.
Brossman
,
J.
,
Ball
,
P.
,
Smith
,
N.
,
Methel
,
J.
, and
Key
,
N.
,
2014
, “
Sensitivity of Multistage Compressor Performance to Inlet Boundary Conditions
,”
J. Propul. Power
,
30
(
2
), pp.
407
415
.
14.
Ball
,
P.
,
2013
, “
An Experimental and Computational Investigation on the Effects of Stator Leakage Flow on Compressor Performance
,” Master's thesis, School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN.
15.
Murray
,
W.
, III
, and
Key
,
N.
,
2015
, “
Experimental Investigation of a Forced-Response Condition in a Multistage Compressor
,”
J. Propul. Power
,
31
(
5
), pp.
1320
1329
.
16.
Hall
,
K.
, and
Ekici
,
K.
,
2005
, “
Multistage Coupling for Unsteady Flows in Turbomachinery
,”
AIAA J.
,
43
(
3
), pp.
624
632
.
17.
Hall
,
K. C.
, and
Crawley
,
E. F.
,
1989
, “
Calculation of Unsteady Flows in Turbomachinery Using the Linearized Euler Equations
,”
AIAA J.
,
27
(
6
), pp.
777
787
.
18.
Ekici
,
K.
, and
Hall
,
K.
,
2008
, “
Nonlinear Frequency-Domain Analysis of Unsteady Flows in Turbomachinery With Multiple Excitation Frequencies
,”
AIAA J.
,
46
(
8
), pp.
1912
1920
.
19.
Ekici
,
K.
,
Voytovych
,
D. M.
, and
Hall
,
K. C.
,
2005
, “
Time-Linearized Navier–Stokes Analysis of Flutter in Multistage Turbomachines
,” 43rd AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan. 10–13,
AIAA
Paper No. 2005-836.
20.
Smith
,
S.
,
1973
, “
Discrete Frequency Sound Generation in Axial Flow Turbomachines
,” Aeronautical Research Council, London, Technical Report No. ARC-RM-3709.
21.
Khemiri
,
O.
,
Martel
,
C.
, and
Corral
,
R.
,
2014
, “
Forced Response of Mistuned Bladed Disks: Quantitative Validation of the Asymptotic Description
,”
J. Propul. Power
,
30
(
2
), pp.
397
406
.
22.
Martel
,
C.
, and
Corral
,
R.
,
2008
, “
Asymptotic Description of Maximum Mistuning Amplification of Bladed Disk Forced Response
,”
ASME J. Eng. Gas Turbines Power
,
131
(
2
), p.
022506
.
23.
Whitehead
,
D.
,
1966
, “
Effect of Mistuning on the Vibration of Turbomachine Blades Induced by Wakes
,”
J. Mech. Eng. Sci.
,
8
(
1
), pp.
15
21
.
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