Abstract

In this paper, an experimental test rig for friction saturated limit cycle oscillations is proposed to provide a validation basis for corresponding numerical methods. Having in mind the application of turbine blades, an instrumented beam-like structure equipped with an adjustable velocity feedback loop and dry frictional contacts is designed and investigated. After dimensioning the test rig by means of a simplified one-dimensional beam model and time domain simulations, the specific requirements of limit cycle oscillations for the design of the frictional contact, the velocity feedback loop and the excitation system are discussed and possible solutions are presented. Also appropriate measuring principles and evaluation techniques are assessed. After commissioning of the test rig, the influence of the negative damping and the normal contact force on the limit cycle oscillations is measured and the practical stability is investigated. The test rig shows linear dynamics for sticking contact and highly repeatable limit cycles. The measured results are discussed regarding the consistency with theory and compared to the predictions of a three dimensional reduced order model solved in frequency domain by the harmonic balance solver OrAgL. It is demonstrated that the numerical modeling strategy is able to accurately reproduce the measured limit cycle oscillations, which stabilized for different contact normal forces and self-excitation levels.

References

1.
Srinivasan
,
A. V.
,
1997
, “
Flutter and Resonant Vibration Characteristics of Engine Blades
,”
ASME J. Eng. Gas Turbines Power
,
119
(
4
), pp.
742
775
.10.1115/1.2817053
2.
Waite
,
J. J.
, and
Kielb
,
R. E.
,
2016
, “
Shock Structure, Mode Shape, and Geometric Considerations for Low-Pressure Turbine Flutter Suppression
,”
ASME
Paper No. GT2016-56706.10.1115/GT2016-56706
3.
Sinha
,
A.
, and
Griffin
,
J. H.
,
1985
, “
Stability of Limit Cycles in Frictionally Damped and Aerodynamically Unstable Rotor Stages
,”
J. Sound Vib.
,
103
(
3
), pp.
341
356
.10.1016/0022-460X(85)90427-4
4.
Martel
,
C.
,
Corral
,
R.
, and
Ivaturi
,
R.
,
2015
, “
Flutter Amplitude Saturation by Nonlinear Friction Forces: Reduced Model Verification
,”
ASME J. Turbomach.
,
137
(
4
), p.
041004
.10.1115/1.4028443
5.
Sinha
,
A.
, and
Griffin
,
J. H.
,
1983
, “
Friction Damping of Flutter in Gas Turbine Engine Airfoils
,”
J. Aircr.
,
20
(
4
), pp.
372
376
.10.2514/3.44878
6.
Krack
,
M.
,
Panning-von Scheidt
,
L.
, and
Wallaschek
,
J.
,
2017
, “
On the Interaction of Multiple Traveling Wave Modes in the Flutter Vibrations of Friction-Damped Tuned Bladed Disks
,”
ASME J. Eng. Gas Turbines Power
,
139
(
4
), p.
042501
.10.1115/1.4034650
7.
Gross
,
J.
, and
Krack
,
M.
,
2019
, “
Multi-Wave Vibration Caused by Flutter Instability and Nonlinear Tip Shroud Friction
,”
ASME J. Eng. Gas Turbines Power
,
142
(
2
), p.
021013
.10.1115/1.4044884
8.
Rodríguez
,
S.
, and
Martel
,
C.
,
2021
, “
Analysis of Experimental Results of Turbomachinery Flutter Using an Asymptotic Reduced Order Model
,”
J. Sound Vib.
,
509
, p.
116225
.10.1016/j.jsv.2021.116225
9.
Berthold
,
C.
,
Gross
,
J.
,
Frey
,
C.
, and
Krack
,
M.
,
2020
, “
Analysis of Friction-Saturated Flutter Vibrations With a Fully Coupled Frequency Domain Method
,”
ASME J. Eng. Gas Turbines Power
,
142
(
11
), p.
111007
.10.1115/1.4048650
10.
Corral
,
R.
, and
Gallardo
,
J. M.
,
2008
, “
Verification of the Vibration Amplitude Prediction of Self-Excited LPT Rotor Blades Using a Fully Coupled Time-Domain Non-Linear Method and Experimental Data
,”
ASME
Paper No. GT2008-51416.10.1115/GT2008-51416
11.
Lassalle
,
M.
, and
Firrone
,
C. M.
,
2018
, “
A Parametric Study of Limit Cycle Oscillation of a Bladed Disk Caused by Flutter and Friction at the Blade Root Joints
,”
J. Fluids Struct.
,
76
, pp.
349
366
.10.1016/j.jfluidstructs.2017.10.004
12.
Claeys
,
M.
,
Sinou
,
J.-J.
,
Lambelin
,
J.-P.
, and
Todeschini
,
R.
,
2016
, “
Experiments and Numerical Simulations of Nonlinear Vibration Responses of an Assembly With Friction Joints – Application on a Test Structure Named “Harmony
,”
Mech. Syst. Signal Process.
,
70–71
, pp.
1097
1116
.10.1016/j.ymssp.2015.08.024
13.
Firrone
,
C. M.
,
Allara
,
M.
, and
Gola
,
M. M.
,
2008
, “
A Contact Model for Nonlinear Forced Response Prediction of Turbine Blades: Calculation Techniques and Experimental Comparison
,”
ASME
Paper No. GT2008-51231.10.1115/GT2008-51231
14.
Pesaresi
,
L.
,
Salles
,
L.
,
Jones
,
A.
,
Green
,
J. S.
, and
Schwingshackl
,
C. W.
,
2017
, “
Modelling the Nonlinear Behaviour of an Underplatform Damper Test Rig for Turbine Applications
,”
Mech. Syst. Signal Process.
,
85
, pp.
662
679
.10.1016/j.ymssp.2016.09.007
15.
Scheel
,
M.
,
2022
, “
Nonlinear Modal Testing of Damped Structures: Velocity Feedback vs. Phase Resonance
,”
Mech. Syst. Signal Process.
,
165
, p.
108305
.10.1016/j.ymssp.2021.108305
16.
Hindmarsh
,
A. C.
,
1992
,
ODEPACK. A Collection of Ode System Solvers, Report No. ESTSC-000166CY00100
, Paper No. NESC-9935,
Lawrence Livermore National Lab. (LLNL)
,
Livermore, CA
, p.
1
.
17.
Maia
,
N. M. M.
, and
Silva
,
J. M. M.
,
1997
,
Theoretical and Experimental Modal Analysis
,
Research Studies Press Ltd
.,
Taunton, UK
.
18.
Actronic-Solutions GmbH
,
2022
, “
CVC Series - Circular Voice Coil Motors
,” Actronic-Solutions GmbH, Adelsdorf, Germany, accessed Nov 16, 2022, https://www.actronic-solutions.de/files/actronic/FTPROOT/Circular_Voice_Coil_CVC_Catalog.pdf
19.
Garcia
,
J.
,
Lumkes
,
J.
,
Heckaman
,
B.
, and
Martini
,
A.
,
2011
, “
Viscosity Dependence of Static Friction in Lubricated Metallic Line Contacts
,”
Tribol. Trans.
,
54
(
3
), pp.
333
340
.10.1080/10402004.2010.542278
20.
Krack
,
M.
,
Salles
,
L.
, and
Thouverez
,
F.
,
2017
, “
Vibration Prediction of Bladed Disks Coupled by Friction Joints
,”
Arch. Comput. Methods Eng.
,
24
(
3
), pp.
589
636
.10.1007/s11831-016-9183-2
21.
Dhondt
,
G.
,
2004
,
The Finite Element Method for Three-Dimensional Thermomechanical Applications, Wiley
,
Chichester, UK
.
22.
Petrov
,
E. P.
,
2012
, “
Analysis of Flutter-Induced Limit Cycle Oscillations in Gas-Turbine Structures With Friction, Gap, and Other Nonlinear Contact Interfaces
,”
ASME J. Turbomach.
,
134
(
6
), p.
061018
.10.1115/1.4006292
23.
Krack
,
M.
,
Tatzko
,
S.
,
Panning-von Scheidt
,
L.
, and
Wallaschek
,
J.
,
2014
, “
Reliability Optimization of Friction-Damped Systems Using Nonlinear Modes
,”
J. Sound Vib.
,
333
(
13
), pp.
2699
2712
.10.1016/j.jsv.2014.02.008
You do not currently have access to this content.