As a result of more balanced blade aspect ratios of modern blade-integrated disks (blisks), interactions between disk-dominated and blade-dominated modes are becoming more and more important, especially if blade mistuning is considered. The specific vibration behavior in these transition regions is characterized by a mix of both fundamental mode types into “coupled” modes. In this paper, numerical and experimental investigations based on a front high-pressure compressor (HPC) blisk stage were carried out in order to determine the effect of blade mistuning on those regions in detail. At this, effects like mode localization and amplitude magnification are found to be weakened in an integer frequency-veering zone. Contrary to this, blisks are very sensitive to mistuning in regions of pure blade-dominated mode families with high modal density.

References

References
1.
Leissa
,
A. W.
,
1974
, “
On a Curve Veering Aberration
,”
ZAMP
,
25
, pp.
99
111
.10.1007/BF01602113
2.
Teller
,
E.
,
1937
, “
The Crossing of Potential Surfaces
,”
J. Phys. Chem.
,
41
(
1
), pp.
109
116
.10.1021/j150379a010
3.
Ramaswamy
,
R.
, and
Marcus
,
R. A.
,
1981
, “
Perturbative Examination of Avoided Crossings
,”
J. Chem. Phys.
,
74
(
2
), pp.
1379
1384
.10.1063/1.441201
4.
Szechenyi
,
E.
,
1971
, “
Approximate Methods for the Determination of the Natural Frequencies of Stiffened and Curved Plates
,”
J. Sound Vib.
,
14
(
3
), pp.
401
418
.10.1016/0022-460X(71)90377-4
5.
Webster
,
J. J.
, and
Warburton
,
G. B.
,
1971
, “
Discussion of Approximate Methods for the Determination of the Natural Frequencies of Stiffened and Curved Plates
,”
J. Sound Vib.
,
18
(
1
), pp.
139
141
.10.1016/0022-460X(71)90637-7
6.
Kuttler
,
J. R.
, and
Sigillito
, V
. G.
,
1980
, “
Upper and Lower Bounds for the Frequencies of Clamped Orthotropic Plates
,”
J. Sound Vib.
,
73
(
2
), pp.
247
259
.10.1016/0022-460X(80)90693-8
7.
Kuttler
,
J. R.
, and
Sigillito
, V
. G.
,
1981
, “
On Curve Veering
,”
J. Sound Vib.
,
75
(
4
), pp.
585
588
.10.1016/0022-460X(81)90448-X
8.
Perkins
,
N. C.
, and
Mote
,
C. D.
,
1986
, “
Comments on Curve Veering in Eigenvalue Problems
,”
J. Sound Vib.
,
106
(
3
), pp.
451
463
.10.1016/0022-460X(86)90191-4
9.
Gottlieb
,
H. P. W.
,
1987
, “
Extensions of a Text-Book Problem to Curve Veering for Coupled Pendulums
,”
J. Sound Vib.
,
113
(
1
), pp.
185
187
.10.1016/S0022-460X(87)81350-0
10.
Pierre
,
C.
,
1988
, “
Mode Localization and Eigenvalue Loci Veering Phenomena in Disordered Structures
,”
J. Sound Vib.
,
126
(
3
), pp.
485
502
.10.1016/0022-460X(88)90226-X
11.
Wei
,
S. T.
, and
Pierre
,
C.
,
1988
, “
Localization Phenomena in Mistuned Assemblies With Cyclic Symmetry—Part I: Free Vibrations
,”
ASME J. Vib. Acoust.
,
110
(
4
), pp.
429
438
.10.1115/1.3269547
12.
Wei
,
S. T.
, and
Pierre
,
C.
,
1988
, “
Localization Phenomena in Mistuned Assemblies With Cyclic Symmetry—Part II: Forced Vibrations
,”
ASME J. Vib. Acoust.
,
110
(
4
), pp.
439
449
.10.1115/1.3269548
13.
Natsiavas
,
S.
,
1992
, “
Steady State Oscillations and Stability of Non-Linear Dynamic Vibration Absorbers
,”
J. Sound Vib.
,
152
(
2
), pp.
227
245
.10.1016/0022-460X(92)90695-T
14.
Natsiavas
,
S.
,
1993
, “
Mode Localization and Frequency Veering in Non-Conservative Mechanical System With Dissimilar Components
,”
J. Sound Vib.
,
165
(
1
), pp.
137
147
.10.1006/jsvi.1993.1247
15.
Balmes
,
E.
,
1993
, “
High Modal Density, Curve Veering, Localization: A Different Perspective on the Structural Response
,”
J. Sound Vib.
,
161
(
2
), pp.
359
363
.10.1006/jsvi.1993.1078
16.
Afolabi
,
D.
, and
Mehmed
,
O.
,
1994
, “
On Curve Veering and Flutter Rotation Blades
,”
ASME J. Eng. Gas Turbines Power
,
116
(
3
), pp.
702
708
.10.1115/1.2906876
17.
Bladh
,
R.
,
Castanier
,
M. P.
, and
Pierre
,
C.
,
1999
, “
Models of Rotor Mistuning and the Prediction of Mistuned Blade Forced Response
,”
Proceedings of the 4th National Engine High Cycle Fatigue Conference
,
Monterey, CA
, February 8–11.
18.
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
,
124
(
2
), pp.
311
324
.10.1115/1.1447236
19.
Castanier
,
M. P.
, and
Pierre
,
C.
,
2006
, “
Modeling and Analysis of Mistuned Bladed Disk Vibration: Current Status and Emerging Directions
,”
J. Propul. Power
,
22
(
2
), pp.
384
396
.10.2514/1.16345
20.
Bladh
,
R.
,
Castanier
,
M. P.
, and
Pierre
,
C.
,
2003
, “
Effects of Multistage Coupling and Disk Flexibility on Mistuned Bladed Disk Dynamics
,”
ASME J. Eng. Gas Turbines Power
,
125
(
1
), pp.
121
130
.10.1115/1.1498267
21.
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, FL
, July 11–14.
22.
Kenyon
,
J. A.
,
Griffin
,
J. H.
, and
Kim
,
N. E.
,
2004
, “
Frequency Veering Effects on Mistuned Bladed Disk Forced Response
,”
J. Propul. Power
,
20
(
5
), pp.
863
870
.10.2514/1.3111
23.
Kenyon
,
J. A.
,
Griffin
,
J. H.
, and
Kim
,
N. E.
,
2005
, “
Sensitivity of Tuned Bladed Disk Response to Frequency Veering
,”
ASME J. Eng. Gas Turbines Power
,
127
(
4
), pp.
835
842
.10.1115/1.1924486
24.
Klinger
,
H.
,
2008
, “
The Engine 3E Core Engine
,”
Proceedings of the ASME Turbo Expo 2008
,
Berlin,
June 9–13,
ASME
Paper No. GT2008-50679. 10.1115/GT2008-50679
25.
Strehlau
,
U.
, and
Kühhorn
,
A.
,
2010
, “
Experimental and Numerical Investigations of HPC Blisks With a Focus on Travelling Waves
,” ASME Turbo Expo 2010: Power for Land Sea and Air, Glasgow, UK, June 14–18,
ASME
Paper No. GT2010-22463. 10.1115/GT2010-22463
26.
Strehlau
,
U.
,
2011
, “
Schaufelschwingungen realer integraler Verdichterlaufräder bei zusätzlicher Berücksichtigung höherer Moden
,” Ph.D. thesis, BTU Cottbus, Shaker Verlag, Aachen, Germany.
27.
Kahl
,
G.
,
2002
, “
Aeroelastic Effects of Mistuning and Coupling in Turbomachinery Bladings
,” Ph.D. thesis, École Polytechnique Fédérale de Lausanne, Lausanne, France.
28.
Klauke
,
T.
,
2007
, “
Blade Vibrations of Real Integral Compressor Rotors Considering Mistuning and Localization
,” Ph.D. thesis, BTU Cottbus Der Andere Verlag, Tönning, Germany (in German).
29.
Beirow
,
B.
, and
Kühhorn
,
A.
,
2008
, “
Method for Determining Blade Mistuning on Integrally Manufactured Rotor Wheels
,” European Patent Application, 1,988,391 A2.
30.
Stetter
,
H.
, and
Kellerer
,
R.
,
1992
, “
Double Mode Behaviour of Bladed Disk Assemblies in the Resonance Frequency Range, Visualized by Means of Holographic Interferometry
,” ASME Paper No. 92-GT-438.
31.
Schönenborn
,
H.
,
Grossmann
,
D.
,
Satzger
,
W.
, and
Zisik
,
H.
,
2009
, “
Determination of Blade-Alone Frequencies of a Blisk for Mistuning Analysis Based on Optical Measurements
,”
Proceedings of ASME Turbo Expo 2009: Power for Land
,
Sea and Air, Orlando, FL
, June 8–12,
ASME
Paper No. GT2009-59148. 10.1115/GT2009-59148
32.
Baik
,
S.
,
Castanier
,
M. P.
, and
Pierre
,
C.
,
2004
, “
Mistuning Sensitivity Prediction of Bladed Disks Using Eigenvalue Curve Veerings
,”
Proceeding of the 9th National Turbine Engine High Cycle Fatigue Conference
,
Pinehurst, NC
, March 16–19.
33.
Heylen
,
W.
, and
Janter
,
T.
,
1990
, “
Extensions of the Modal Assurance Criterion
,”
ASME J. Vibr. Acoust.
,
112
(
4
), pp.
468
472
.10.1115/1.2930130
34.
Schrape
,
S.
,
Nipkau
,
J.
, and
Kühhorn
,
A.
,
2008
, “
Application of Aeroelastic Methods in Compressor Cascade Configurations Using Commercial Code Coupling
,”
Proceedings of ASME 2008 Pressure Vessels and Piping Conference
,
Chicago, IL
, July 27–31,
ASME
Paper No. PVP2008-61274. 10.1115/PVP2008-61274
You do not currently have access to this content.