Beneficial Effects of Parametric Excitation in Rotor Systems

  • Horst EckerEmail author
Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 1011)


For a long time parametric excitation in rotor systems was associated only with the gravity effect on the bending vibration of rotors with anisotropic shafts. Parametric excitation seemed to have only negative effects on the dynamics of rotating systems and therefore the focus of research studies was on how to avoid or at least minimize the adverse consequences of parametric excitation.

However, recent research results have shown that parametric excitation may not only cause harmful instabilities in a dynamical system but can also improve the capability of a system to suppress vibrations. In particular it is possible to avoid the onset of an instability by introducing parametric excitation to the system. These findings are quite new and the numerous possibilities of making use of it still need to be explored and discussed.

This article presents the basics of parametric excitation as a means to suppress vibrations in rotating machines. Several theoretical and experimental studies are reviewed. The potential of this novel design concept is discussed and directions for further research and future practical applications are outlined.


Rotor instability Vibration damping Time-periodic stiffness variation 


  1. 1.
    Cartmell, M.: Introduction to Linear, Parametric and Nonlinear Vibrations. Chapman and Hall, London (1990)zbMATHGoogle Scholar
  2. 2.
    Childs, D.: Turbomachinery Rotordynamics: Phenomena, Modelling, and Analysis. Wiley, New York (1993)Google Scholar
  3. 3.
    Dohnal, F.: Damping of mechanical vibrations by parametric excitation. PhD Thesis, Vienna University of Technology, Vienna, Austria (2005)Google Scholar
  4. 4.
    Dohnal, F.: Damping of a flexible rotor by time-periodic stiffness and damping variation. In: Proceedings of the IMECHE 9th International Conference on Vibrations in Rotating Machinery, Exeter, UK (2008)Google Scholar
  5. 5.
    Dohnal, F.: Amplification of damping of a cantilever beam by parametric excitation. In: Ulbrich, H., Ginzinger, L. (eds.). Proceedings of MOVIC 2008. Munich, Germany (2008)Google Scholar
  6. 6.
    Ecker, H., Pumhössel, T., Tondl, A.: A study on parametric excitation for suppressing self-excited rotor vibrations. In: Proceedings of the Sixth International Conference on Rotor Dynamics, IFToMM, ISBN: 0-7334-1963-1, Sydney, Australia (2002)Google Scholar
  7. 7.
    Ecker, H., Tondl, A.: Stabilization of a rigid rotor by a time-varying stiffness of the bearing mounts. In: IMechE (eds.) Vibrations in Rotating Machinery, ISBN: 1-86058-447-0, Professional Engineering Publishing Limited, Suffolk, UK (2004)Google Scholar
  8. 8.
    Ecker, H.: Suppression of Self-excited Vibrations in Mechanical Systems by Parametric Stiffness Excitation. Argesim/ASIM, Vienna, Austria (2005)Google Scholar
  9. 9.
    Ecker, H., Dohnal, F., Springer, H.: Enhanced Damping of a Beam Structure by Parametric Excitation. In: van Campen, D.H., Lazurko, M.D., van den Oever W.P.J.M. (eds.) Proceedings ENOC-2005, ISBN 90-386-2667-3, Eindhoven, Netherlands (2005)Google Scholar
  10. 10.
    Ecker, H., Tondl, A.: Increasing the stability threshold of a rotor by open-loop control of the bearing mount stiffness. In: Sawicki, J.T., Muszynska, A. (eds.) Proceedings Third International Symposium on Stability Control of Rotating Machinery, Cleveland, USA (2005)Google Scholar
  11. 11.
    Ecker, H., Pumhössel, T.: Experimental results on parametric excitation damping of an axially loaded cantilever beam. In: Proceedings of the 2009 ASME International Design Engineering Technical Conference (IDETC), San Diego, USA (2009)Google Scholar
  12. 12.
    Gasch, R., Nordmann, R., Pfützner, H.: Rotordynamik. Springer, Berlin (2002)Google Scholar
  13. 13.
    Paradeiser, W.: Experimental Verification of a parameter-antiresonance (in German). MS Thesis, Vienna University of Technology, Vienna, Austria (2006)Google Scholar
  14. 14.
    Pumhössel, T., Ecker, H.: Active damping of vibrations of a cantilever beam by axial force control. In: Proceedings of the 2007 ASME International Design Engineering Technical Conference (IDETC), Las Vegas, USA (2007)Google Scholar
  15. 15.
    Schmidt, E., Paradeiser, W., Dohnal, F., Ecker, H.: Design of an electromagnetic actuator for parametric stiffness excitation. COMPEL 26(3), 800–813 (2007)zbMATHGoogle Scholar
  16. 16.
    Tondl, A.: Some problems of rotor dynamics. Academia, Prague, Czech Republic (1965)Google Scholar
  17. 17.
    Tondl, A.: To the problem of quenching self-excited vibrations. Acta Technica ČSAV 43, 109–116 (1998)Google Scholar
  18. 18.
    Tondl, A., Ecker, H.: Cancelling of self-excited vibrations by means of parametric excitation. In: Proceedings of the 1999 ASME Design Engineering Technical Conferences (DETC), Las Vegas, USA (1999)Google Scholar
  19. 19.
    Tondl, A.: Self-excited vibration quenching in a rotor system by means of parametric excitation. Acta Technica ČSAV 45, 199–211 (2000)Google Scholar
  20. 20.
    Verhulst, F.: Nonlinear Differential Equations and Dynamical Systems. Springer, Berlin (2000)Google Scholar
  21. 21.
    Yamamoto, T., Ishida, Y.: Linear and Nonlinear Rotordynamics. Wiley, New York (2001)Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Institute of Mechanics and MechatronicsVienna University of TechnologyViennaAustria

Personalised recommendations