A frequency-domain method has been developed to predict and comprehensively analyze the limit-cycle flutter-induced vibrations in bladed disks and other structures with nonlinear contact interfaces. The method allows, for the first time, direct calculation of the limit-cycle amplitudes and frequencies as functions of contact interface parameters and aerodynamic characteristics using realistic large-scale finite element models of structures. The effects of the parameters of nonlinear contact interfaces on limit-cycle amplitudes and frequencies have been explored for major types of nonlinearities occurring in gas-turbine structures. New mechanisms of limiting the flutter-induced vibrations have been revealed and explained.

References

1.
Srinivasan
,
A.
, 1997, “
Flutter and Resonant Vibration Characteristics of Engine Blades
,”
ASME J. Eng. Gas Turbines Power
,
119
, pp.
742
775
.
2.
Marshall
,
J.
, and
Imregun
,
M.
, 1996, “
A Review of Aeroelasticity Methods With Emphasis on Turbomachinery Applications
,”
J. Fluids Struct.
,
10
, pp.
237
267
.
3.
Hall
,
K.
,
Kielb
,
R.
,
Ekici
,
K.
, and
Thomas
,
J.
, 2005, “
Recent Advancements in Turbomachinery Aeroelastic Analysis
,”
Proceedings of the 43rd AIAA Aerospace Sciences Meeting and Exhibit
, Reno, Nevada, AIAA Paper No. 2055-0014.
4.
Vahdati
,
M.
,
Simpson
,
J.
, and
Imregun
,
M.
, 2009, “
Mechanisms for Wide-Chord Fan Blade Flutter
Proceedings of ASME Turbo Expo
, Orlando, Paper No. GT2009-60098.
5.
Sayma
,
A.
,
Vahdati
,
M.
,
Green
,
J.
, and
Imregun
,
M.
, 1998, “
Whole-Assembly Flutter Analysis of a Low-Pressure Turbine Blade
,”
Aeronaut. J.
,
102
, pp.
459
463
.
6.
Nowinski
,
M.
, and
Panovsky
,
J.
, 2000, “
Flutter Mechanisms in Low Pressure Turbine Blades
,”
J. Eng. Gas Turbines Power
,
122
, pp.
89
98
.
7.
Rice
,
T.
,
Bell
,
D.
, and
Singh
,
G.
, 2009, “
Identification of the Stability Margin Between Safe Operation and the Onset of Blade Flutter
,”
ASME J. Turbomach.
,
131
, p.
011009
.
8.
Campobasso
,
M.
, and
Giles
,
M.
, 2004, “
Stabilization of Linear Flow Solver for Turbomachinery Aeroelasticity Using Recursive Projection Method
,”
AIAA J.
,
42
(
9
), pp.
1765
1774
.
9.
Panovsky
,
J.
, and
Kielb
,
R.
, 2000, “
A Design Method to Prevent Low Pressure Turbine Blade Flutter
,”
Trans. ASME: J. Eng. Gas Turbines and Power
,
122
, pp.
89
98
.
10.
Rzadkowski
,
R.
, and
Gnesin
,
V.
, 2007, “
3-D Inviscid Self-Excited Vibrations of a Blade Row in the Last Stage Turbine
,”
J. Fluids Struct.
,
23
, pp.
858
873
.
11.
Kielb
,
R. E.
, and
Kaza
,
K. R. V.
, 1984, “
Effects of Structural Coupling on Mistuned Cascade Flutter and Response
,”
Trans. ASME: J. Eng. Gas Turbines Power
,
106
, pp.
17
24
.
12.
Hoyniak
,
D.
, and
Fleeter
,
S.
, 1986, “
The Effect of Circumferential Aerodynamic Detuning on Coupled Bending-Torsional Unstalled Supersonic Flutter
,”
ASME J. Turbomach.
,
108
, pp.
253
260
.
13.
Martel
,
C.
,
Corral
,
R.
, and
Llorens
,
J. M.
, 2008, “
Stability Increase of Aerodynamically Unstable Rotors Using Intentional Mistuning
,”
ASME J. Turbomach.
,
130
, p.
011006
.
14.
Kielb
,
R.
,
Feiner
,
D.
,
Griffin
,
J.
, and
Miyakozawa
,
T.
, 2004, “
Flutter of Mistuned Bladed Disks and Blisks With Aerodynamic and FMM Structural Coupling
,”
Proceedings of ASME Turbo Expo 2004
, Vienna, Austria, Paper No. GT2004-54315.
15.
Bleeg
,
J.
,
Yang
,
M.-T.
, and
Eley
,
J.
, 2009, “
Aeroelastic Analysis of Rotors With Flexible Disks and Alternate Blade Mistuning
ASME J. Turbomach.
,
131
, p.
011011
.
16.
Sinha
,
A.
, and
Griffin
J.
, 1983, “
Friction Damping of Flutter in Gas Turbine Engine Airfoils
,”
J. Aircr.
,
20
(
4
), pp.
372
376
.
17.
Sinha
,
A.
, and
Griffin
J.
, 1985, “
Effects of Friction Dampers on Aerodynamically Unstable Rotor Stages
,”
AIAA J.
,
23
(
2
), pp.
262
270
.
18.
Corral
,
R.
, and
Gallardo
J.
, 2006, “
A Methodology for the Vibration Amplitude Prediction of Self-Excited Rotors Based on Dimensional Analysis
,”
Proceedings of ASME Turbo Expo
, Barcelona, Spain, Paper No. GT2006-90668.
19.
Whiteman
,
W.
, and
Ferri
,
A.
, 1999, “
Suppression of Bending–Torsion Flutter Through Displacement-Dependent Dry Friction Damping
,”
AIAA J.
,
37
(
1
), pp.
79
83
.
20.
Thomas
,
J.
,
Dowell
,
E.
, and
Hall
,
K.
, 2004, “
Modeling Viscous Transonic Limit-Cycle Oscillation Behavior Using a Harmonic Balance Approach
,”
J. Aircr.
,
v.41
, pp.
1266
1274
.
21.
Liu
,
L.
,
Dowell
,
E.
, and
Thomas
,
J.
, 2007, “
A High Dimensional Harmonic Balance Approach for an Aeroelastic Airfoil With Cubic Restoring Forces
,”
J. Fluids Struct.
,
23
, pp.
351
363
.
22.
Srivastava
,
R.
,
Panovsky
,
J.
,
Kileb
,
R.
,
Virgin
,
L.
, and
Ekici
,
K.
, 2010, “
Nonlinear Flutter in Fan Stator Vanes With Time Dependent Fixity
,”
Proceedings of ASME Turbo Expo 2010
, Glasgow, UK, June 14–18, Paper No. GT2010-22555.
23.
Petrov
,
E. P.
, and
Ewins
,
D. J.
, 2003, “
Analytical Formulation of Friction Interface Elements for Analysis of Nonlinear Multi-Harmonic Vibrations of Bladed Discs
,”
ASME J. Turbomach.
,
125
, pp.
364
371
.
24.
Petrov
,
E. P.
, 2004, “
A Method for Use of Cyclic Symmetry Properties in Analysis of Nonlinear Multiharmonic Vibrations of Bladed Discs
,”
ASME J. Turbomach.
,
126
, pp.
175
183
.
25.
Petrov
,
E. P.
, and
Ewins
,
D. J.
, 2006, “
Effects of Damping and Varying Contact Area at Blade-Disc Joints in Forced Response Analysis of Bladed Disc Assemblies
,”
ASME J. Turbomach.
,
128
, pp.
403
410
.
26.
Petrov
,
E.
, 2010, “
A Method for Forced Response Analysis of Mistuned Bladed Discs With Aerodynamic Effects Included
,”
Trans. ASME: J. Eng. Gas Turbines Power
,
132
, p.
062502
.
27.
Petrov
,
E. P.
, 2007, “
Direct Parametric Analysis of Resonance Regimes for Nonlinear Vibrations of Bladed Discs
,”
ASME J. Turbomach.
,
129
, pp.
495
502
.
28.
Petrov
,
E. P.
, 2009, “
Method for Sensitivity Analysis of Resonance Forced Response of Bladed Disks With Nonlinear Contact Interfaces
,”
Trans. ASME: J. Eng. Gas Turbines Power
,
131
, p.
022510
.
29.
Sayma
,
A.
,
Vahdati
,
M.
,
Sbardella
,
L.
, and
Imregun
,
M.
, 2000, “
Modeling of Three-Dimensional Viscous Compressible Turbomachinery Flows Using Unstructured Hybrid Grids
,”
AIAA J.
,
38
(
6
), pp.
945
954
.
30.
Petrov
,
E. P.
, 2011, “
A High-Accuracy Model Reduction for Analysis of Nonlinear Vibrations in Structures With Contact Interfaces
,”
Trans. ASME: J. Eng. Gas Turbines Power
,
133
, p.
102503
.
You do not currently have access to this content.