A new method has been developed for sensitivity calculations of modal characteristics of bladed disks made of anisotropic materials. The method allows the determination of the sensitivity of the natural frequencies and mode shapes of mistuned bladed disks with respect to anisotropy angles that define the crystal orientation of the monocrystalline blades using full-scale finite element models. An enhanced method is proposed to provide high accuracy for the sensitivity analysis of mode shapes. An approach has also been developed for transforming the modal sensitivities to coordinate systems (CS) used in industry for description of the blade anisotropy orientations. The capabilities of the developed methods are demonstrated on examples of a single blade and a mistuned realistic bladed disk finite element models. The modal sensitivity of mistuned bladed disks to anisotropic material orientation is thoroughly studied.

References

References
1.
Arakere
,
N. K.
, and
Swanson
,
G.
,
2002
, “
Effect of Crystal Orientation on Fatigue Failure of Single Crystal Nickel Base Turbine Blade Superalloys
,”
ASME J. Eng. Gas Turbines Power
,
124
(
1
), pp.
161
176
.
2.
Dong
,
C.
,
Yu
,
H.
,
Li
,
Y.
,
Yang
,
X.
, and
Shi
,
D.
,
2014
, “
Life Modeling of Anisotropic Fatigue Behavior for a Single Crystal Nickel-Base Superalloy
,”
Int. J. Fatigue
,
61
, pp.
21
27
.
3.
Savage
,
M. W. R.
,
2011
, “
The Influence of Crystal Orientation on the Elastic Stresses of a Single Crystal Nickel-Based Turbine Blade
,”
ASME J. Eng. Gas Turbines Power
,
134
(
1
), p.
012501
.
4.
Manetti
,
M.
,
Giovannetti
,
I.
,
Pieroni
,
N.
,
Horculescu
,
H.
,
Peano
,
G.
,
Zonfrillo
,
G.
, and
Giannozzi
,
M.
,
2009
, “
The Dynamic Influence of Crystal Orientation on a Second Generation Single Crystal Material for Turbine Buckets
,”
ASME
Paper No. GT2009-59091.
5.
Kaneko
,
Y.
,
2011
, “
Study on Vibration Characteristics of Single Crystal Blade and Directionally Solidified Blade
,”
ASME
Paper No. GT2011-45032.
6.
Kaneko
,
Y.
,
Mori
,
K.
, and
Ooyama
,
H.
,
2015
, “
Resonant Response and Random Response Analysis of Mistuned Bladed Disk Consisting of Directionally Solidified Blade
,”
ASME
Paper No. GT2015-42875.
7.
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
.
8.
Adelman
,
H.
, and
Haftka
,
R.
,
1986
, “
Sensitivity Analysis of Discrete Structural Systems
,”
AIAA J.
,
24
(
5
), pp.
823
832
.
9.
Amorós
,
J. L.
,
Buerger
,
M. J.
, and
de Amorós
,
M. C.
,
1975
,
The Laue Method
,
Academic Press
,
New York
.
10.
Dhondt
,
G.
,
2017
,
CalculiX CrunchiX User's Manual Version 2.12
, User Manual.
11.
Cardona
,
A.
, and
Geradin
,
M.
,
1988
, “
A Beam Finite Element Non-Linear Theory With Finite Rotations
,”
Int. J. Numer. Methods Eng.
,
26
(
11
), pp.
2403
2438
.
12.
Petrov
,
E.
, and
Geradin
,
M.
,
1998
, “
Finite Element Theory for Curved and Twisted Beams Based on Exact Solutions for Three-Dimensional Solids—Part 1: Beam Concept and Geometrically Exact Nonlinear Formulation
,”
Comput. Methods Appl. Mech. Eng.
,
165
(
1–4
), pp.
43
92
.
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