Current efforts to model multistage turbomachinery systems rely on calculating independent constraint modes for each degree-of-freedom (DOF) on the boundary between stages. While this approach works, it is computationally expensive to calculate all the required constraint modes. This paper presents a new way to calculate a reduced set of constraint modes referred to as Fourier constraint modes (FCMs). These FCMs greatly reduce the number of computations required to construct a multistage reduced order model (ROM). The FCM method can also be integrated readily with the component mode mistuning (CMM) method to handle small mistuning and the pristine rogue interface modal expansion (PRIME) method to handle large and/or geometric mistuning. These methods all use sector-level models and calculations, which make them very efficient. This paper demonstrates the efficiency of the FCM method on a multistage system that is tuned and, for the first time, creates a multistage ROM with large mistuning using only sector-level quantities and calculations. The results of the multistage ROM for the tuned and large mistuning cases are compared with full finite element results and are found in good agreement.

References

References
1.
Bampton, M. C. C., and Craig, R. R.,
1968
, “
Coupling of Substructures for Dynamic Analyses
,”
AIAA J.
,
6
(
7
), pp.
1313
1319
.
2.
Song
,
S. H.
,
Castanier
,
M. P.
, and
Pierre
,
C.
,
2005
, “Multi-Stage Modeling of Turbine Engine Rotor Vibration,”
ASME
Paper No. DETC2005-85740.
3.
Song
,
S. H.
,
Castanier
,
M. P.
, and
Pierre
,
C.
,
2005
, “
Multi-Stage Modeling of Mistuned Turbine Engine Rotor Vibration
,”
NATO AVT-121 Symposium on Evaluation, Control and Prevention of High Cycle Fatigue in Gas Turbine Engines for Land, Sea, and Air
, Paper No. RTO-MP-AVT-121-P-06.
4.
Song
,
S. H.
,
Castanier
,
M. P.
, and
Pierre
,
C.
,
2007
, “System Identification of Multistage Turbine Engine Rotors,”
ASME
Paper No. GT2007-28307.
5.
D'Souza
,
K.
,
Jung
,
C.
, and
Epureanu
,
B. I.
,
2013
, “
Analyzing Mistuned Multi-Stage Turbomachinery Rotors With Aerodynamic Effects
,”
J. Fluids Struct.
,
42
, pp.
388
400
.
6.
D'Souza
,
K.
, and
Epureanu
,
B. I.
,
2012
, “
A Statistical Characterization of the Effects of Mistuning in Multistage Bladed Disks
,”
ASME J. Eng. Gas Turbines Power
,
134
(
1
), p. 012503.
7.
D'Souza
,
K.
,
Saito
,
A.
, and
Epureanu
,
B. I.
,
2012
, “
Reduced-Order-Modeling for Nonlinear Analysis of Cracked Mistuned Multi-Stage Bladed Disk Systems
,”
AIAA J.
,
50
(
2
), pp.
304
312
.
8.
Rzadkowski
,
R.
, and
Drewczynski
,
M.
,
2011
, “
Natural Frequencies of Two Tuned and Mistuned Bladed Discs on the Shaft
,”
Adv. Vib. Eng.
,
10
(
2
), pp.
103
118
.http://www.tvi-in.com/Journals/journaldetail.aspx?Id=2014042916133701571096aeb22c4e4
9.
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
.
10.
Bladh
,
R.
,
Castanier
,
M. P.
, and
Pierre
,
C.
,
2001
, “
Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks—Part II: Application
,”
ASME J. Eng. Gas Turbines Power
,
123
(
1
), pp.
100
108
.
11.
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
.
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
(
4
), pp.
893
900
.
13.
Feiner
,
D. M.
, and
Griffin
,
J. H.
,
2002
, “
A Fundamental Model of Mistuning for a Single Family of Modes
,”
ASME J. Turbomach.
,
124
(
4
), pp.
597
605
.
14.
Donders
,
S.
,
Hadjit
,
R.
,
Hermans
,
L.
,
Brughmans
,
M.
, and
Desmet
,
W.
,
2006
, “
A Wave-Based Substructuring Approach for Fast Modification Predictions and Industrial Vehicle Optimization
,”
International Conference on Noise and Vibration Engineering
, Heverlee, Belgium, Sept. 18–20, pp.
1901
1912
.https://www.researchgate.net/publication/228943148_A_wave-based_substructuring_approach_for_fast_modification_predictions_and_industrial_vehicle_optimization
15.
Donders
,
S.
,
Pluymers
,
B.
,
Ragnarsson
,
P.
,
Hadjit
,
R.
, and
Desmet
,
W.
,
2010
, “
The Wave-Based Substructuring Approach for the Efficient Description of Interface Dynamics in Substructuring
,”
J. Sound Vib.
,
329
(
8
), pp.
1062
1080
.
16.
Maressa
,
A.
,
Mundo
,
D.
,
Donders
,
S.
, and
Desmet
,
W.
,
2011
, “
A Wave-Based Substructuring Approach for Concept Modeling of Vehicle Joints
,”
Comput. Struct.
,
89
(
23–24
), pp.
2369
2376
.
17.
Madden
,
A.
,
Epureanu
,
B. I.
, and
Filippi
,
S.
,
2012
, “
Reduced-Order Modeling Approach for Blisks With Large Mass, Stiffness, and Geometric Mistuning
,”
AIAA J.
,
50
(
2
), pp.
366
374
.
18.
Tang
,
W.
,
Baek
,
S.
, and
Epureanu
,
B. I.
,
2016
, “
Reduced-Order Models for Blisks With Small and Large Mistuning and Friction Dampers
,”
ASME J. Eng. Gas Turbines Power
,
139
(
1
), p.
012507
.
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