A major concern for new generations of large turbine blades is forced and self-excited (flutter) vibrations, which can cause high-cycle fatigue (HCF). The design of friction joints is a commonly applied strategy for systematic reduction of resonance amplitudes at critical operational conditions. In this paper, the influence of geometric blade design parameters onto the damped system response is investigated for direct snubber coupling. A simplified turbine blade geometry is parametrized and a well-proven reduced-order model for turbine blade dynamics under friction damping is integrated into a 3D finite element tool-chain. The developed process is then used in combination with surrogate modeling to predict the effect of geometric design parameters onto the vibrational characteristics. As such, main and interaction effects of design variables onto static normal contact force and resonance amplitudes are determined for a critical first bending mode. Parameters were found to influence the static normal contact force based on their effect on elasticity of the snubber, torsional stiffness of the airfoil and free blade untwist. The results lead to the conclusion that geometric design parameters mainly affect the resonance amplitude equivalent to their influence on static normal contact force in the friction joint. However, it is demonstrated that geometric airfoil parameters influence blade stiffness and are significantly changing the respective mode shapes, which can lead to lower resonance amplitudes despite an increase in static contact loads. Finally, an evolutionary optimization is carried out and novel design guidelines for snubbered blades with friction damping are formulated.

References

References
1.
Krack
,
M.
,
Panning-von Scheidt
,
L.
,
Wallaschek
,
J.
,
Siewert
,
C.
, and
Hartung
,
A.
,
2013
, “
Reduced Order Modeling Based on Complex Nonlinear Modal Analysis and Its Application to Bladed Disks With Shroud Contact
,”
ASME
Paper No. GT2013-94560.
2.
Joannin
,
C.
,
Chouvion
,
B.
,
Thouverez
,
F.
,
Mbaye
,
M.
, and
Ousty
,
J. P.
,
2015
, “
Nonlinear Modal Analysis of Mistuned Periodic Structures Subjected to Dry Friction
,”
ASME
Paper No. GT2015-42255.
3.
Heinze
,
T.
,
Panning-von Scheidt
,
L.
,
Wallaschek
,
J.
, and
Hartung
,
A.
,
2016
, “
A Taylor Series Expansion Approach for Nonlinear Blade Forced Response Prediction Considering Variable Rotational Speed
,”
ASME
Paper No. GT2016-56375.
4.
Battiato
,
G.
,
Firrone
,
C. M.
,
Berruti
,
T. M.
, and
Epureanu
,
B. I.
,
2017
, “
Reduced Order Modeling for Multistage Bladed Disks With Friction Contacts at the Flange Joint
,”
ASME
Paper No. GT2017-64814.
5.
Gross
,
J.
,
Krack
,
M.
, and
Schoenenborn
,
H.
,
2017
, “
Analysis of the Effect of Multi-Row and Multi-Passage Aerodynamic Interaction on the Forced Response Variation in a Compressor Configuration—Part 2: Effects of Additional Structural Mistuning
,”
ASME
Paper No. GT2017-63019.
6.
Siewert
,
C.
,
Sieverding
,
F.
,
McDonald
,
W.
,
Kumar
,
M.
, and
McCracken
,
J.
,
2017
, “
Development of a Last Stage Blade Row Coupled by Damping Elements: Numerical Assessment of Its Vibrational Behavior and Its Experimental Validation During Spin Pit Measurements
,”
ASME
Paper No. GT2017-63630.
7.
Petrov
,
E. P.
,
2016
, “
Stability Analysis of Multiharmonic Nonlinear Vibrations for Large Models of Gas-Turbine Engine Structures With Friction and Gaps
,”
ASME
Paper No. GT2016-57959.
8.
Wu
,
J.
,
Xie
,
Y.
,
Zhang
,
D.
, and
Zhang
,
M.
,
2012
, “
Experimental Friction Damping Characteristic of a Steam Turbine Blade Coupled by Shroud and Snubber at Standstill Set-Up
,”
ASME
Paper No. GT2012-69472.
9.
Hong
,
J.
,
Shi
,
Y.
,
Zahng
,
D.
, and
Zhu
,
Z.
,
2007
, “
Experimental Study of Damping Characteristic of Shrouded Blade
,”
ASME
Paper No. GT2007-27610.
10.
Griffin
,
J. H.
, and
Labelle
,
R. F.
,
1996
, “
A Rational Method for Optimizing Shroud Damping
,”
ASME
Paper No. 96-GT-402.
11.
Szwedowicz
,
J.
,
Mahler
,
A.
,
Hulme
,
C. J.
, and
Slowik
,
S.
,
2005
, “
Nonlinear Dynamic Analyses of a Gas Turbine Blade for Attainment of Reliable Shroud Coupling
,”
ASME
Paper No. GT2005-69062.
12.
Bonhage
,
M.
,
Panning-von Scheidt
,
L.
,
Wallaschek
,
J.
, and
Richter
,
C.
,
2012
, “
Transient Resonance Passage With respect to Friction
,”
ASME
Paper No. GT2012-68986.
13.
Yang
,
B. D.
, and
Menq
,
C. H.
,
1996
, “
Modeling of Friction Contact and Its Application to the Design of Shroud Contact
,”
ASME
Paper No. 96-GT-472.
14.
Arkhipov
,
A. N.
,
Pipopulo
,
A. V.
, and
Putchkov
,
I. V.
,
2008
, “
Design Tuning of High Aspect Ratio Shrouded Turbine Blades
,”
ASME
Paper No. GT2008-50670.
15.
Wang
,
J.
,
2001
, “
Design of Friction Damper to Control Vibration of Turbine Blades
,”
Dynamics with Friction: Modeling, Analysis and Experiment
(Series on Stability, Vibration and Control of Systems, Series B, Vol.
7
), World Scientific, Singapore, pp. 169–195.
16.
Kanekno, Y.
, and
Ohyama, H.
,
2008
, “
Design of Friction Damper to Control Vibration of Turbine Blades. Analysis and Measurement of Damping Characteristics of Integral Shroud Blade for Steam Turbine
,”
J. Syst. Des. Dyn.
,
2
(
1
), pp. 69–78.
17.
Szwedowicz
,
J.
,
Visser
,
R.
,
Sextro
,
W.
, and
Masserey
,
P. A.
,
2007
, “
On Nonlinear Forced Vibration of Shrouded Turbine Blades
,”
ASME J. Turbomach.
,
130
(
1
), p. 011002.
18.
Jafarali
,
P.
,
Krikunov
,
D.
,
Mujezinovic
,
A.
, and
Tisencheck
,
N. A.
,
2012
, “
Probabilistic Analysis of Turbine Blade Toleranceing and Tip Shroud Gap
,”
ASME
Paper No. GT2012-70138.
19.
Krack
,
M.
,
Salles
,
L.
, and
Thouverez
,
F.
,
2016
, “
Vibration Prediction of Bladed Disks Coupled by Friction Joints
,”
Arch. Comput. Methods Eng.
,
24
(
3
), pp. 589–636.
20.
Panning-von Scheidt
,
L.
,
Sextro
,
W.
, and
Popp
,
K.
,
2000
, “
Optimization of Interblade Friction Damper Design
,”
ASME
Paper No. 2000-GT-0541.
21.
Panning-von Scheidt
,
L.
,
Sextro
,
W.
, and
Popp
,
K.
,
2003
, “
Spatial Dynamics of Tuned and Mistuned Bladed Disk Assemblies With Cylindrical and Wedge Shaped Friction Dampers
,”
Int. J. Rotating Mach.
,
9
(
3
), pp. 219–228.
22.
Siewert
,
C.
,
Panning-von Scheidt
,
L.
,
Schmidt-Fellner
,
A.
, and
Kayser
,
A.
,
2006
, “
The Estimation of the Contact Stiffness for Directly and Indirectly Coupled Turbine Blading
,”
ASME
Paper No. GT2006-90473.
23.
Jareland
,
M. H.
,
2001
, “
A Parametric Study of a Cottage-Roof Damper and Comparison With Experimental Results
,”
ASME
Paper No. 2001-GT-0275.
24.
Sextro
,
W.
,
2000
, “
The Calculation of the Forced Response of Shrouded Blades With Friction Contacts and Its Experimental Verification
,”
ASME
Paper No. 2000-GT-0540.
25.
Berruti
,
T.
,
Filippi
,
S.
,
Gola
,
M. M.
, and
Salvano
,
S.
,
2002
, “
Friction Damping of Interlocked Vane Segments: Validation of Friction Model and Dynamic Response
,”
ASME
Paper No. GT2002-30324.
26.
Asai
,
K.
, and
Gola
,
M. M.
,
2015
, “
Experimental Verification of Friction Behaviors Under Periodically-Varied Normal Force by Developing a Two-Directional Friction Test System
,”
ASME
Paper No. GT2015-42318.
27.
Huang
,
Y.
,
Li
,
L.
,
Lu
,
X.
,
Rao
,
H.
, and
Jin
,
F.
,
2007
, “
Finite Element Analysis of Dynamic Characteristics for Steam Turbine Interlocked Blades With Integral Shroud
,”
Challenges of Power Engineering and Environment
, Vol. 1, K. Cen, Y. Chi, and F. Wang, eds., Springer, Berlin.
28.
Cameron
,
T. M.
,
Griffin
,
J. H.
,
Kielb
,
R. E.
, and
Hoosac
,
T. M.
,
1990
, “
Integrated Approach for Friction Damper Design
,”
ASME J. Vib. Acoust.
,
112
(
2
), pp. 175–182..
29.
Hohl
,
A.
,
Siewert
,
C.
,
Panning-von Scheidt
,
L.
, and
Kayser
,
A.
,
2008
, “
Nonlinear Vibration Analysis of Gas Turbine Bladings With Shroud Coupling
,”
ASME
Paper No. GT2008-50787.
30.
Box
,
G.
, and
Behnken
,
D. W.
,
1960
, “
Some New Three Level Designs for the Study of Quantitative Variables
,”
Technometrics
,
2
(
4
), pp. 455–475.
31.
Krige
,
D. G.
,
1951
, “
A Statistical Approach to Some Basic Mine Valuation Problems on the Witwatersrand
,”
J. Chem. Metall. Min. Soc. South Africa
,
52
(
6
), pp.
119
139
.
32.
Ye
,
K. Q.
,
1993
, “
Orthogonal Column Latin Hypercubes and Their Application in Computer Experiments
,”
J. Am. Stat. Assoc.
,
93
(
444
), pp. 1430–1439.
33.
Amatt
,
W.
,
1973
, “
Summary of Propeller Design Procedures and Data
,”
Struct. Anal. Blade Des.
,
2
.
34.
Deb
,
K.
,
Agrawal
,
S.
,
Pratap
,
A.
, and
Meyarivan
,
T.
,
2000
, “
A Fast Elitist Non-Dominated Sorting Genetic Algorithm for Multi-Objective Optimization: Nsga-II,” Parallel Problem Solving From Nature (PPSN VI)
,”
Parallel Problem Solving from Nature PPSN VI
, (Lecture Notes in Computer Science, Vol. 1917), M. Schoenauer, et al., eds.,
Springer
,
Berlin
.
35.
Aulich
,
M.
, and
Siller
,
U.
,
2011
, “
High-Dimensional Constrained Multiobjective Optimization of a Fan Stage
,”
ASME
Paper No. GT2011-45618.
You do not currently have access to this content.