It is well-known that flutter vibrations of bladed disks can be saturated by dry friction. Previous theoretical investigations indicated that the steady-state, friction-damped flutter vibrations of tuned bladed disks are always dominated by a single traveling wave component, even if multiple traveling wave forms are unstable. This contrasts recent experimental investigations where multiple traveling wave forms were found to participate at steady state. In this paper, we demonstrate that this phenomenon can be explained by nonlinear frictional interblade coupling. To this end, we consider a simple phenomenological model of a bladed disk with frictional intersector coupling and two unstable traveling waves forms. Vibrations occur not only in the form of limit cycle oscillations (periodic) but also in the form of limit torus oscillations (quasi-periodic). It is shown how the limit state depends on the initial conditions, and that the occurrence of multiwave flutter depends on the proximity of the complex eigenvalues of the associated unstable waves. Finally, by computing the limit torus oscillation with a frequency-domain method, we lay the cornerstone for the systematic prediction of friction-saturated flutter vibrations of state-of-the-art bladed disk models.
Skip Nav Destination
Article navigation
April 2017
Research-Article
On the Interaction of Multiple Traveling Wave Modes in the Flutter Vibrations of Friction-Damped Tuned Bladed Disks
Malte Krack,
Malte Krack
Institute of Aircraft Propulsion Systems,
University of Stuttgart,
Stuttgart 70569, Germany
e-mail: malte.krack@ila.uni-stuttgart.de
University of Stuttgart,
Stuttgart 70569, Germany
e-mail: malte.krack@ila.uni-stuttgart.de
Search for other works by this author on:
Lars Panning-von Scheidt,
Lars Panning-von Scheidt
Institute of Dynamics and Vibration Research,
Leibniz Universität Hannover,
Hannover 30167, Germany
e-mail: panning@ids.uni-hannover.de
Leibniz Universität Hannover,
Hannover 30167, Germany
e-mail: panning@ids.uni-hannover.de
Search for other works by this author on:
Jörg Wallaschek
Jörg Wallaschek
Institute of Dynamics and Vibration Research,
Leibniz Universität Hannover,
Hannover 30167, Germany
e-mail: wallaschek@ids.uni-hannover.de
Leibniz Universität Hannover,
Hannover 30167, Germany
e-mail: wallaschek@ids.uni-hannover.de
Search for other works by this author on:
Malte Krack
Institute of Aircraft Propulsion Systems,
University of Stuttgart,
Stuttgart 70569, Germany
e-mail: malte.krack@ila.uni-stuttgart.de
University of Stuttgart,
Stuttgart 70569, Germany
e-mail: malte.krack@ila.uni-stuttgart.de
Lars Panning-von Scheidt
Institute of Dynamics and Vibration Research,
Leibniz Universität Hannover,
Hannover 30167, Germany
e-mail: panning@ids.uni-hannover.de
Leibniz Universität Hannover,
Hannover 30167, Germany
e-mail: panning@ids.uni-hannover.de
Jörg Wallaschek
Institute of Dynamics and Vibration Research,
Leibniz Universität Hannover,
Hannover 30167, Germany
e-mail: wallaschek@ids.uni-hannover.de
Leibniz Universität Hannover,
Hannover 30167, Germany
e-mail: wallaschek@ids.uni-hannover.de
1Corresponding author.
Contributed by the Structures and Dynamics Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received August 10, 2016; final manuscript received August 12, 2016; published online October 18, 2016. Editor: David Wisler.
J. Eng. Gas Turbines Power. Apr 2017, 139(4): 042501 (9 pages)
Published Online: October 18, 2016
Article history
Received:
August 10, 2016
Revised:
August 12, 2016
Citation
Krack, M., Panning-von Scheidt, L., and Wallaschek, J. (October 18, 2016). "On the Interaction of Multiple Traveling Wave Modes in the Flutter Vibrations of Friction-Damped Tuned Bladed Disks." ASME. J. Eng. Gas Turbines Power. April 2017; 139(4): 042501. https://doi.org/10.1115/1.4034650
Download citation file:
Get Email Alerts
Blade Excitation Alleviation of a Nozzleless Radial Turbine by Casing Treatment Based on Reduced Order Mode
J. Eng. Gas Turbines Power
Design And Testing of a Compact, Reverse Brayton Cycle, Air (R729) Cooling Machine
J. Eng. Gas Turbines Power
Experimental Study on Liquid Jet Trajectory in Cross Flow of Swirling Air at Elevated Pressure Condition
J. Eng. Gas Turbines Power
Related Articles
Analysis of Flutter-Induced Limit Cycle Oscillations in Gas-Turbine Structures With Friction, Gap, and Other Nonlinear Contact Interfaces
J. Turbomach (November,2012)
Flutter Amplitude Saturation by Nonlinear Friction Forces: Reduced Model Verification
J. Turbomach (April,2015)
Nonlinear Modal Analysis of Mistuned Periodic Structures Subjected to Dry Friction
J. Eng. Gas Turbines Power (July,2016)
Two-Frequency Oscillation With Combined Coulomb and Viscous Frictions
J. Vib. Acoust (October,2002)
Related Proceedings Papers
Related Chapters
Surface Analysis and Tools
Tribology of Mechanical Systems: A Guide to Present and Future Technologies
Pulsating Supercavities: Occurrence and Behavior
Proceedings of the 10th International Symposium on Cavitation (CAV2018)
Numerical Study of Limit Cycles for Three Planar Polynomial Systems
International Conference on Information Technology and Computer Science, 3rd (ITCS 2011)