Study of dry-friction damping effect on two simplified models of flutter oscillations

  • Luděk PešekEmail author
  • Ladislav Půst
  • Pavel Šnábl
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)


Dry-friction damping effect to reduction of self-excited vibrations due to aero-elastic instability is studied on numerical reduced model of rotating turbine wheel with 30 blades. The aerodynamic excitation arises from the spatially periodical flow of steam through the stator blades cascade. Dry friction contact damping is considered as one of the very effective methods for self-excited “flutter” vibrations. The study is oriented on the narrow frequency range and therefore the blades are modelled as systems with one degree of freedom (DOF). The selfexcited aero-elastic forces of blades are described by two different types of Van der Pol model. It is shown for both self-excitation models that the dry friction forces needed for suppression of dangerous flutter vibrations strongly depends on the complexity of modes and also on the mutual positions of excitation forces to damping elements.


Flutter oscillations of turbine blades dry friction damping of vibration modes nodal diameters 


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This work has been supported by the grant project of the Czech Science Foundation No. 19-02288J “Robust reduced-order modeling of fluid-structure interaction problems”.


  1. 1.
    Pust, L., Pesek, L. and Byrtus, M., Modelling of flutter running waves in turbine blades cascade. Journal of Sound and Vibration, 436, pp 286-294, 2018.CrossRefGoogle Scholar
  2. 2.
    Půst, L., Pešek: L., Blades forced vibration under aero-elastic excitation modelled by Van der Pol., International Journal of Bifurcation and Chaos, Vol. 27(No. 11), 2017,MathSciNetCrossRefGoogle Scholar
  3. 3.
    Schlaefli, D. Experiments on unsteady flow effects in vibrating annular cascades (in German). Lausanne: EPFL, 1989. Ph.D. Thesis.Google Scholar
  4. 4.
    Vogt, D. M. & Fransson, T. H., A new turbine cascade for aeromechanical testing,” Proc. 16th Symp. Measuring Techniques in Transonic and Supersonic Flows in Cascades and Turbomachines, Cambridge, 2002.Google Scholar
  5. 5.
    Kielb, R.E., Barter, J., Chernysheva, O., Fransson, T., Flutter of low pressure turbine blades with cyclic symmetric modes: A preliminary design method, Journal of Turbomachinery-transactions of the ASME 126, (2004), 306-309CrossRefGoogle Scholar
  6. 6.
    Půst, L., Pešek, L., Interaction of self-excited and delayed forced excitation on blade bunch, Proceedings of VETOMAC XII, Warszaw, Poland, 2016, pp. 139-148.Google Scholar
  7. 7.
    Půst, L., Pešek, L., Byrtus, M., Flutter running waves in turbine blades cascade, Proceedings of DSTA 2017, T3, (eds. Awrejcewicz, J., et al.), LUT, Dept. of Automation, Biomechanics and Mechatronics, Lodz, (Poland), 2017, pp. 483-492.Google Scholar
  8. 8.
    Rao,J.S.: Turbomachine Blade Vibration. Wiley Eastern Limited, New Delhi, 1991Google Scholar
  9. 9.
    Bogoljubov, N., N.,Mitropolski, Ju., A., Asymptotic methods in theory of nonlinear oscillations, GITTL, Moskau, 1955, (in Russia)Google Scholar
  10. 10.
    Pust, L., Pesek, L., Snabl P., Damping of flutter oscillations by dry friction contacts, Paper and Book of abstract of COMPUTATIONAL MECHANICS 2018, (eds. Vimmr J., et al.), Srni (CR), 2018, pp. 85,86.Google Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Institute of Thermomechanics AS CR, v.v.iPrague 8Czech Republic

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