Abstract
Dynamic vibration absorbers array (DVAA) is a newly developed and promising technique for vibration attenuation of integrally bladed disk (blisk) by mounting underneath the disk. In this paper, the vibration attenuation characteristics and energy dissipation mechanism of DVAA for tuned and mistuned blisk are parametrically studied, where the viscous and frictional damping are both considered. The lumped parameter model of a blisk is employed for the convenience of parametrical study. Analytical power flow formulas within the blisk–DVAA system are derived to characterize the dynamic interaction between blisk and DVAA. Four typical modes of a blisk with different nodal diameters and deformation characteristics are selected to evaluate the performance of DVAA. Then, the effects of the mass ratio, the frequency ratio and the damping ratio of DVAA on the vibration of tuned and mistuned blisk are addressed. Numerical results show that a light DVAA can significantly mitigate the resonant amplitudes of the tuned and mistuned blisk. Such damper is effective for the modes with different modal characteristics and can provide robust vibration attenuation performance against random mistuning.
Issue Section:
Research Papers
References
1.
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
.10.2514/1.163452.
Chen
,
Y.
,
Zhai
,
J.
, and
Han
,
Q.
, 2016
, “
Vibration and Damping Analysis of the Bladed Disk With Damping Hard Coating on Blades
,” Aerosp. Sci. Technol.
,
58
, pp. 248
–257
.10.1016/j.ast.2016.08.0163.
Gao
,
F.
, and
Sun
,
W.
, 2019
, “
Nonlinear Finite Element Modeling and Vibration Analysis of the Blisk Deposited Strain-Dependent Hard Coating
,” Mech. Syst. Signal Process.
,
121
, pp. 124
–143
.10.1016/j.ymssp.2018.11.0284.
Mitra
,
M.
,
Zucca
,
S.
, and
Epureanu
,
B. I.
, 2019
, “
Dynamic Model Order Reduction of Blisks With Nonlinear Damping Coatings Using Amplitude Dependent Mistuning
,” Int. J. Non-Linear Mech.
,
111
, pp. 49
–59
.10.1016/j.ijnonlinmec.2019.01.0165.
Xu
,
K.
,
Yan
,
X.
,
Du
,
D.
, and
Sun
,
W.
, 2021
, “
Control of Mistuning Level Using Hard Coating for Blisks Based on Mistuning Identification Technique
,” Aerosp. Sci. Technol.
,
111
, p. 106526
.10.1016/j.ast.2021.1065266.
Laxalde
,
D.
,
Thouverez
,
F.
,
Sinou
,
J. J.
, and
Lombard
,
J. P.
, 2007
, “
Qualitative Analysis of Forced Response of Blisks With Friction Ring Dampers
,” Eur. J. Mech. A/Solids
,
26
(4
), pp. 676
–687
.10.1016/j.euromechsol.2006.10.0027.
Laxalde
,
D.
,
Thouverez
,
F.
, and
Lombard
,
J.-P.
, 2010
, “
Forced Response Analysis of Integrally Bladed Disks With Friction Ring Dampers
,” ASME J. Vib. Acoust.
,
132
(1
), p. 011013
.10.1115/1.40007638.
Tang
,
W.
,
Baek
,
S.
, and
Epureanu
,
B. I.
, 2017
, “
Reduced-Order Models for Blisks With Small and Large Mistuning and Friction Dampers
,” ASME J. Eng. Gas Turbines Power
,
139
(1
), p. 012507
.10.1115/1.40342129.
Baek
,
S.
, and
Epureanu
,
B.
, 2017
, “
Reduced-Order Modeling of Bladed Disks With Friction Ring Dampers
,” ASME J. Vib. Acoust.
,
139
(6
), p. 061011
.10.1115/1.403695210.
Tang
,
W.
, and
Epureanu
,
B. I.
, 2017
, “
Nonlinear Dynamics of Mistuned Bladed Disks With Ring Dampers
,” Int. J. Non-Linear Mech.
,
97
, pp. 30
–40
.10.1016/j.ijnonlinmec.2017.08.00111.
Tang
,
W.
, and
Epureanu
,
B. I.
, 2019
, “
Geometric Optimization of Dry Friction Ring Dampers
,” Int. J. Non-Linear Mech.
,
109
, pp. 40
–49
.10.1016/j.ijnonlinmec.2018.11.00112.
Baek
,
S.
, and
Epureanu
,
B.
, 2020
, “
Contact Model Identification for Friction Ring Dampers in Blisks With Reduced Order Modeling
,” Int. J. Non-Linear Mech.
,
120
, p. 103374
.10.1016/j.ijnonlinmec.2019.10337413.
Zhou
,
B.
,
Thouverez
,
F.
, and
Lenoir
,
D.
, 2014
, “
Vibration Reduction of Mistuned Bladed Disks by Passive Piezoelectric Shunt Damping Techniques
,” AIAA J.
,
52
(6
), pp. 1194
–1206
.10.2514/1.J05220214.
Liu
,
J.
,
Li
,
L.
,
Huang
,
X.
, and
Jezequel
,
L.
, 2017
, “
Dynamic Characteristics of the Blisk With Synchronized Switch Damping Based on Negative Capacitor
,” Mech. Syst. Signal Process.
,
95
, pp. 425
–445
.10.1016/j.ymssp.2017.03.04915.
Kelley
,
C. R.
,
Lopp
,
G. K.
, and
Kauffman
,
J. L.
, 2021
, “
Optimizing Piezoelectric Material Location and Size for Multiple-Mode Vibration Reduction of Turbomachinery Blades
,” ASME J. Vib. Acoust.
,
143
(2
), p. 021007
.10.1115/1.404826316.
Wu
,
Y. G.
,
Li
,
L.
,
Fan
,
Y.
,
Zucca
,
S.
,
Gastaldi
,
C.
, and
Ma
,
H. Y.
, 2020
, “
Design of Dry Friction and Piezoelectric Hybrid Ring Dampers for Integrally Bladed Disks Based on Complex Nonlinear Modes
,” Comput. Struct.
,
233
, p. 106237
.10.1016/j.compstruc.2020.10623717.
Hartung
,
A.
,
Retze
,
U.
, and
Hackenberg
,
H.-P.
, 2017
, “
Impulse Mistuning of Blades and Vanes
,” ASME J. Eng. Gas Turbines Power
,
139
(7
), p. 072502
.10.1115/1.403559418.
Olson
,
B. J.
, and
Shaw
,
S. W.
, 2010
, “
Vibration Absorbers for a Rotating Flexible Structure With Cyclic Symmetry: Nonlinear Path Design
,” Nonlinear Dyn.
,
60
(1–2
), pp. 149
–182
.10.1007/s11071-009-9587-819.
Sinha
,
A.
, 2018
, “
Vibration Absorbers for a Mistuned Bladed Disk
,” ASME J. Vib. Acoust.
,
140
(5
), p. 051002
.10.1115/1.403953920.
Lupini
,
A.
,
Mitra
,
M.
, and
Epureanu
,
B. I.
, 2019
, “
Application of Tuned Vibration Absorber Concept to Blisk Ring Dampers: A Nonlinear Study
,” ASME J. Eng. Gas Turbines Power
,
141
(10
), p. 101016
.10.1115/1.404468421.
Wang
,
S.
,
Yang
,
G.
,
Ji
,
L.
,
Bi
,
C.
, and
Zheng
,
C.
, 2022
, “
Multi-Mode Vibration Attenuation of Mistuned Bladed Disks by Frictional Tuned Mass Dampers Array
,” J. Sound Vib.
,
536
, p. 117176
.10.1016/j.jsv.2022.11717622.
Elias
,
S.
, and
Matsagar
,
V.
, 2017
, “
Research Developments in Vibration Control of Structures Using Passive Tuned Mass Dampers
,” Annu. Rev. Control
,
44
, pp. 129
–156
.10.1016/j.arcontrol.2017.09.01523.
Jones
,
D. I. G.
,
Nashif
,
A. D.
, and
Stargardter
,
H.
, 1975
, “
Vibrating Beam Dampers for Reducing Vibrations in Gas Turbine Blades
,” ASME J. Eng. Power
,
97
(1
), pp. 111
–116
.10.1115/1.344588824.
Hollkamp
,
J. J.
,
Bagley
,
R. L.
, and
Gordon
,
R. W.
, 1999
, “
A Centrifugal Pendulum Absorber for Rotating, Hollow Engine Blades
,” J. Sound Vib.
,
219
(3
), pp. 539
–549
.10.1006/jsvi.1998.196425.
Olson
,
B. J.
,
Shaw
,
S. W.
, and
Pierre
,
C.
, 2005
, “
Order-Tuned Vibration Absorbers for Cyclic Rotating Flexible Structures
,” ASME
Paper No. DETC2005-84641.10.1115/DETC2005-8464126.
Olson
,
B. J.
, and
Shaw
,
S. W.
, 2008
, “
Vibration Absorbers for Cyclic Rotating Flexible Structures: Linear and Nonlinear Tuning
,” ASME
Paper No. SMASIS2008-632.10.1115/SMASIS2008-63227.
Gozen
,
S.
,
Olson
,
B. J.
,
Shaw
,
S. W.
, and
Pierre
,
C.
, 2012
, “
Resonance Suppression in Multi-Degree-of-Freedom Rotating Flexible Structures Using Order-Tuned Absorbers
,” ASME J. Vib. Acoust.
,
134
(6
), p. 061016
.10.1115/1.400756428.
Mitra
,
M.
,
Lupini
,
A.
, and
Epureanu
,
B. I.
, 2019
, “
A Study on the Application of Tuned Vibration Absorbers to Nominally Cyclic Structures
,” ASME
Paper No. GT2019-90167.10.1115/GT2019-9016729.
Lupini
,
A.
, and
Epureanu
,
B. I.
, 2021
, “
A Friction-Enhanced Tuned Ring Damper for Bladed Disks
,” ASME J. Eng. Gas Turbines Power
,
143
(1
), p. 011002
.10.1115/1.404920330.
Lupini
,
A.
,
Shim
,
J.
, and
Epureanu
,
B. I.
, 2020
, “
Experimental and Computational Study of a Tuned Damper With Frictional Contacts
,” AIAA J.
,
58
(8
), pp. 3607
–3613
.10.2514/1.J05939331.
Mitra
,
M.
,
Zucca
,
S.
, and
Epureanu
,
B. I.
, 2016
, “
Adaptive Microslip Projection for Reduction of Frictional and Contact Nonlinearities in Shrouded Blisks
,” ASME J. Comput. Nonlinear Dyn.
,
11
(4
), p. 041016
.10.1115/1.403300332.
Lupini
,
A.
, and
Epureanu
,
B. I.
, 2019
, “
A Conditioning Technique for Projection-Based Reduced Order Models
,” Comput. Methods Appl. Mech. Eng.
,
349
, pp. 251
–265
.10.1016/j.cma.2019.02.02033.
Mitra
,
M.
, and
Epureanu
,
B. I.
, 2019
, “
Dynamic Modeling and Projection-Based Reduction Methods for Bladed Disks With Nonlinear Frictional and Intermittent Contact Interfaces
,” ASME Appl. Mech. Rev.
,
71
(5
), p. 050803
.10.1115/1.404308334.
Griffin
,
J. H.
, and
Hoosac
,
T. M.
, 1984
, “
Model Development and Statistical Investigation of Turbine Blade Mistuning
,” ASME J. Vib., Acoust., Stress, Reliab. Des.
,
106
(2
), pp. 204
–210
.10.1115/1.326917035.
Petrov
,
E. P.
, and
Ewins
,
D. J.
, 2003
, “
Analytical Formulation of Friction Interface Elements for Analysis of Nonlinear Multi-Harmonic Vibrations of Bladed Disks
,” ASME J. Turbomach.
,
125
(2
), pp. 364
–371
.10.1115/1.153986836.
Yang
,
J.
, 2013
, “
Power Flow Analysis of Nonlinear Dynamical Systems
,” Doctoral thesis
,
University of Southampton
,
Southampton, UK
.https://www.researchgate.net/publication/299464066_Power_flow_analysis_of_nonlinear_dynamical_systems37.
Skolfield
,
J. K.
, and
Escobedo
,
A. R.
, 2022
, “
Operations Research in Optimal Power Flow: A Guide to Recent and Emerging Methodologies and Applications
,” Eur. J. Oper. Res.
,
300
(2
), pp. 387
–404
.10.1016/j.ejor.2021.10.003Copyright © 2023 by ASME
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