Blade-to-blade variations of bladed disk assemblies result in local zoning of vibration modes as well as amplitude magnifications, which primarily reduces the high cycle fatigue life of aeroengines. Criteria were introduced to determine the level of these mode localization effects depending on various parameters of a real high pressure compressor blisk rotor. The investigations show that blade vibration modes with lower interblade coupling, e.g., torsion modes or modes with high numbers of nodal diameter lines, have a significantly higher sensitivity to blade mistuning, which can be characterized by the higher percentage of blades on the total blisk strain energy.

1.
Campbell
,
W.
, 1924, “
The Protection Of Steam Turbine Disk Wheels From Axial Vibration
,” presented at the Spring Meeting, Cleveland, OH, May 26–29, ASME, Vol.
46
(
19-20
), pp.
31
160
.
2.
Malkin
,
I.
, 1942, “
On A Generalization of Kirchhoff’s Theory Of Transversal Plate Vibration Problem Of Steam Turbine Disks
,”
J. Franklin Inst.
0016-0032,
234
, pp.
355
370
and pp. 431–452.
3.
Armstrong
,
E. K.
, 1955, “
An Investigation Into the Coupling Between Turbine Disc and Blade Vibration
,” Ph.D. thesis, University of Cambridge, Cambridge.
4.
Kirkhope
,
J.
, and
Wilson
,
G. J.
, 1971, “
Analysis of Coupled Blade Disk Assemblies in Axial Flow Turbine and Fans
,” AIAA Paper No. 71-375, pp.
1
11
.
5.
Soares
,
C. A. M.
,
Petyt
,
M.
, and
Salama
,
A. M.
, 1976, “
Finite Element Analysis of Bladed Disks
,”
Proceedings of the Winter Annual Meeting
,
ASME
, pp.
73
92
.
6.
Ewins
,
D. J.
, 1969, “
The Effects Of Detuning Upon the Forced Vibrations of Bladed Disks
,”
J. Sound Vib.
0022-460X,
9
(
1
), pp.
65
79
.
7.
Ewins
,
D. J.
, 1973, “
Vibration Characteristics of Bladed Disc Assemblies
,”
J. Mech. Eng. Sci.
0022-2542,
15
, pp.
165
186
.
8.
Whitehead
,
D. S.
, 1966, “
Effect of Mistuning on the Vibration of Turbomachine Blades Induces by Wakes
,”
J. Mech. Eng. Sci.
0022-2542,
8
(
1
), pp.
15
21
.
9.
Whitehead
,
D. S.
, 1998, “
The Maximum Factor by Which Forced Vibration of Blades can Increase Due to Mistuning
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
120
, pp.
115
119
.
10.
Wei
,
S. T.
, and
Pierre
,
C.
, 1987, “
Localization Phenomena in Mistuned Assemblies With Cyclic Symmetry, Part I: Free Vibrations
,” Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI.
11.
Wei
,
S. T.
, and
Pierre
,
C.
, 1987, “
Localization Phenomena in Mistuned Assemblies With Cyclic Symmetry, Part II: Forced Vibrations
,” Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI.
12.
Griffin
,
J. H.
, and
Hoosac
,
T. M.
, 1984, “
Model Development and Statistical Investigation of Turbine Blade Mistuning
,”
Trans. ASME, J. Vib., Acoust., Stress, Reliab. Des.
0739-3717,
106
(
2
), pp.
204
210
.
13.
Bladh
,
R.
,
Pierre
,
C.
,
Castanier
,
M. P.
, and
Kruse
,
M. J.
, 2002, “
Dynamic Response Predictions for a Mistuned Industrial Turbomachinery Rotor Using Reduced-Order Modeling
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
124
(
2
), pp.
311
324
.
14.
Bladh
,
R.
,
Pierre
,
C.
, and
Castanier
,
M. P.
, 2003, “
Effect of Multistage Coupling Disk Flexibility on Mistuned Bladed Disk Dynamics
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
125
, pp.
121
130
.
15.
Kielb
,
R. E.
, and
Kaza
,
K. R. V.
, 1984, “
Effects of Structural Coupling on Mistuned Cascade Flutter and Response
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
106
, pp.
17
24
.
16.
Wildheim
,
J.
, 1979, “
Excitation of Rotationally Periodic Structures
,”
ASME J. Appl. Mech.
0021-8936,
46
, pp.
878
882
.
17.
Wilson
,
A.
, and
Utengen
,
T.
, 1993, “
Turbine Blade Dynamics and Blade-Vane Interaction in a Radial Inflow Turbine
,”
Ulstein Turbine A/S
, Kongsberg, Norway.
18.
Yingfeng
,
W.
,
Jun
,
H.
, and
Yong
,
Z.
, 2005, “
Effect of Upstream Rotor on the Aerodynamic Force of Downstream Stator Blades
,”
Najing University of Aeronautics an Astronautics
, ISABE-2005-1268.
19.
Pierre
,
C.
, and
Murthy
,
D.
, 1994, “
Localization of Aeroelastic Modes in Mistuned High-energy Turbines
,”
J. Propul. Power
0748-4658,
10
, pp.
318
328
.
20.
Schrape
,
S.
,
Kühhorn
,
A.
, and
Golze
,
M.
, 2006, “
Simulation of Fluid Damped Structural Vibrations
,”
Proceedings of the Seventh MpCCI User Forum
,
Schloss Birlinghoven
,
Sankt Augustin, Germany
, Feb. 21–22, ISSN 1860-6296.
21.
Schrape
,
S.
,
Kühhorn
,
A.
, and
Golze
,
M.
, 2006, “
FSI of a Simplified Aero Engine Compressor Cascade Configuration
,”
Proc. Appl. Math. Mech.
1617-7061,
6
, pp.
457
458
.
22.
Steffens
,
K.
, 2000, “
Next Engine Generation: Materials, Surface Technology, Manufacturing Processes, What Comes After 2000?
,”
SurTec Conference
,
Cannes, France
.
23.
Steffens
,
K.
, 2001, “
Advanced Compressor Technology—Key Sucess Factor for Competitiveness in Modern Aero Engines
,”
15th International Symposium on Air Breathing Engines
,
ISABE
,
Bagalore, India
.
24.
Beirow
,
B.
,
Kühhorn
,
A.
,
Golze
,
M.
,
Klauke
,
T.
, and
Parchem
,
R.
, 2005, “
Experimental and Numerical Investigations of High Pressure Compressor Blades Vibration Behavior Considering Mistuning
,”
10th International NAFEMS World Congress
,
Malta
, ISBN 1 174 376 03 4.
25.
Slater
,
J. C.
,
Minkiewicz
,
G. R.
, and
Blair
,
A. J.
, 1999, “
Forced Response of Bladed Disk Assemblies—A Survey
,”
Shock Vib. Dig.
0583-1024,
31
(
1
), pp.
17
24
.
26.
Kenyon
,
J. A.
, 2004, “
Maximum Mistuned Bladed Disk Forced Response With Frequency Veering
,”
40th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit
,
Fort Lauderdale
, AIAA 2004-3753.
27.
Kellerer
,
R.
, and
Stetter
,
H.
, 1992, “
Double Mode Behavior of Bladed Disk Assemblies in the Resonance Frequency Range, Visualized by Means of Holographic Interferometry
,” ASME Paper No. 92-GT-438.
28.
Mück
,
B.
, 2004, “
Flutter and Forced Response Prediction in Compressor Blade Design
,”
Proceedings of the 11th Blade Mechanics Seminar
,
ABB Turbo Systems Ltd., Thermal Machinery Laboratory
,
Baden/Switzerland
.
29.
Pianka
,
C.
, 2004, “
Considering Mistuning Effects on Blisks in the Specification of Engine Vibration Surveys
,”
Proceedings of the 11th Blade Mechanics Seminar
,
ABB Turbo Systems Ltd., Thermal Machinery Laboratory
,
Baden/Switzerland
.
30.
Srinivasan
,
A. V.
, 1997, “
Flutter and Resonant Vibration Characteristics of Engine Blades
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
119
(
4
), pp.
742
775
.
31.
Castanier
,
M. P.
, and
Pierre
,
C.
, 2002, “
Using Intentional Mistuning in the Design of Turbomachinery Rotors
,”
AIAA J.
0001-1452,
40
(
10
), pp.
2077
2086
.
32.
Kenyon
,
J. A.
,
Griffin
,
J.
, and
Feiner
,
D.
, 2003, “
Maximum Bladed Disk Forced Response From Distortion of a Structural Mode
,”
ASME J. Turbomach.
0889-504X,
125
(
2
), pp.
352
363
.
33.
Hodges
,
C. H.
, 1982, “
Confinement of Vibration by Structural Irregularity
,”
J. Sound Vib.
0022-460X,
82
(
3
), pp.
411
424
.
34.
Anderson
,
P. W.
, 1958, “
Absence of Diffusion in Certain Random Lattices
,”
Phys. Rev.
0031-899X,
109
(
5
), pp.
1492
1505
.
35.
Bendiksen
,
O. O.
, 2000, “
Localization Phenomena in Structural Dynamics
,”
Chaos, Solitons Fractals
0960-0779,
11
, pp.
1621
1660
.
36.
Kahl
,
G.
, 2002, “
Aeroelastic Effect of Mistuning and Coupling in Turbomachinery Bladings
,” Ph.D. thesis, Ecole Polytechnique Federale De Lausanne, Lausanne.
37.
Kenyon
,
J. A.
,
Cross
,
C. J.
, and
Minkiewicz
,
G. R.
, 2000, “
Mechanical Coupling Effects on Turbomachine Mistuned Response
,”
J. Propul. Power
0748-4658,
16
(
6
), pp.
1149
1154
.
38.
Crawley
,
E. F.
, and
Mokodam
,
D. R.
, 1984, “
Stagger Angle Dependence of Inertial and Elastic Coupling in Bladed Disks
,”
ASME J. Vib., Acoust., Stress, Reliab. Des.
0739-3717,
106
, pp.
181
188
.
39.
Lim
,
S.-H.
,
Castanier
,
M. P.
, and
Pierre
,
C.
, 2004, “
Predicting Mistuned Blade Amplitude Bounds and Stress Increases from Energy Formulations
,”
Proceedings of the Ninth National Turbine Engine High Cycle Fatigue Conference
,
Pinehurst, NC
.
40.
Baik
,
S.
,
Pierre
,
C.
, and
Castanier
,
M. P.
, 2004, “
Mistuning Sensitivity Prediction of Bladed Disks Using Eigenvalue Curve Veerings
,”
Proceedings of the Ninth National Turbine Engine HCF Conference
,
Pinehurst, NC
.
41.
Myhre
,
M.
, 2003, “
Numerical Investigations of the Sensitivity of Forced Response Characteristics of Bladed Disks to Mistuning
,” Licentiate thesis, Royal Institute of Technology, Stockholm, Sweden.
42.
Castanier
,
M. P.
, and
Pierre
,
C.
, 2006, “
Modeling and Analysis of Mistuned Bladed Disk Vibration: Status and Emerging Directions
,”
J. Propul. Power
0748-4658,
22
(
2
), pp.
384
396
.
43.
Klauke
,
T.
,
Kühhorn
,
A.
, and
Beirow
,
B.
, 2005, “
Experimental and Numerical Investigations of Blade Mistuning and Strain Gauge Application Effects in Aero Engine Development
,”
Proceedings of the 12th Blade Mechanics Seminar
,
ABB Turbo Systems Ltd., Thermal Machinery Laboratory
,
Baden/Switzerland
.
You do not currently have access to this content.