This paper deals with the development of an accurate reduced-order model of a bladed disk with geometric mistuning. The method is based on vibratory modes of various tuned systems and proper orthogonal decomposition of coordinate measurement machine data on blade geometries. Results for an academic rotor are presented to establish the validity of the technique.

1.
Whitehead
,
D. S.
, 1966, “
Effect of Mistuning on the Vibration of Turbomachine Blades Induced by Wakes
,”
J. Mech. Eng. Sci.
0022-2542,
8
, pp.
15
21
.
2.
Sinha
,
A.
, 2006, “
Statistical Distribution of the Peak Maximum Amplitude of the Forced Response of a Mistuned Bladed Disk: Some Investigations and Applications of Neural Networks
,” ASME Paper No. GT 2006-90088.
3.
Yang
,
M.-T
, and
Griffin
,
J. H.
, 1997, “
A Reduced Order Approach for the Vibration of Mistuned Bladed Disk Assemblies
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
119
, pp.
161
167
.
4.
Castanier
,
M. P.
,
Ottarson
,
G.
, and
Pierre
,
C.
, 1997, “
A Reduced Order Modeling Technique for Mistuned Bladed Disks
,”
ASME J. Vibr. Acoust.
0739-3717,
119
(
3
), pp.
439
447
.
5.
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
0742-4795,
123
(
4
), pp.
893
900
.
6.
Kaza
,
K. R. V.
, and
Kielb
,
R. E.
, 1982, “
Effects of Mistuning on Bending-Torsion Flutter and Response of a Cascade in Incompressible Flow
,”
AIAA J.
,
20
(
8
), pp.
1120
1127
. 0001-1452
7.
Bladh
,
R.
,
Castanier
,
M. P.
, and
Pierre
,
C.
, 2001, “
Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks, Part I: Theoretical Models, Part II: Application
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
123
, pp.
89
108
.
8.
Lim
,
S.-H.
,
Bladh
,
R.
,
Castanier
,
M. P.
, and
Pierre
,
C.
, 2003, “
A Compact, Generalized Component Mode Mistuning Representation for Modeling Bladed Disk Vibration
,”
Proceedings of the 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
, Norfolk, VA, Vol.
2
, AIAA Paper No. 2003-1545, pp.
1359
1380
.
9.
Lim
,
S.-H.
,
Castanier
,
M. P.
, and
Pierre
,
C.
, 2004, “
Vibration Modeling of Bladed Disks Subjected to Geometric Mistuning and Design Changes
,”
Proceedings of the 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
, Palm Springs, CA, AIAA Paper No. 2004-1686.
10.
Petrov
,
E. P.
,
Sanliturk
,
K. Y.
, and
Ewins
,
D. J.
, 2002, “
A New Method for Dynamic Analysis of Mistuned Bladed Disks Based on the Exact Relationship Between Tuned and Mistuned Systems
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
124
, pp.
586
597
.
11.
Sinha
,
A.
,
Hall
,
B.
,
Cassenti
,
B.
, and
Hilbert
,
G.
, 2008, “
Vibratory Parameters of Blades From Coordinate Measurement Machine Data
,”
ASME J. Turbomach.
0889-504X,
130
, p.
011013
.
12.
Ghanem
,
R. G.
, and
Spanos
,
P. D.
, 1990,
Stochastic Finite Elements: A Spectral Approach
,
Springer-Verlag
,
New York
.
You do not currently have access to this content.