Principles of Rotor System Instability

  • Z. A. Parszewski
Part of the International Centre for Mechanical Sciences book series (CISM, volume 273)


Equations of free transverse vibrations of a rotating shaft [1], [2], [3] describing small vibrations of the shaft around its equilibrium position at the speed ω, are of the form
External he and internal hi damping coefficients, reduced to the reference unit mass (Aρ)o of the shaft are
ce and ci are equivalent viscous coefficients of external and internal damping and Aρ and EI are respectively mass of unit length and stiffness of the shaft, both variable along the axial coordinate z.


Stability Limit Parametric Excitation Instability Region Circular Frequency Shaft Speed 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. (1).
    Parszewski, Z.A.: Drgania i Dynamika Maszyn, WNT, Warszawa 1982, 420 p.Google Scholar
  2. (2).
    Bishop, R.E.D.: The Vibration of Rotating Shafts, J.Mech.Eng.Sc. 1959, Vol. 1 No. 1, p. 50.CrossRefMATHGoogle Scholar
  3. (3).
    Bishop R.E.D.: Gladwell, G.M.L.: Vibration and Balancing of Unbalanced Flexible Rotors, J.Mech.Eng.Sc. 1959, Vol. 1, No. 1 p. 66.CrossRefMATHGoogle Scholar
  4. (4).
    Hsu, C.S.: On the Parametric Excitation -.. ASME Ser.B, 1963.Google Scholar
  5. (5).
    Black, H.F.: Parametrically Excited Lateral Vibrations of Asym. Slender Shaft in Asym. Flexible Bearings, J.Mech.Eng.Sc. 11, 1, 1969.CrossRefGoogle Scholar
  6. (6).
    Krodkiewski, J.M., Marynouski,K.O.,Parszewski, Z.A.: Instablities of Parametric Rotor-Support Systems. I.Mech.E. Proc. Conf. on Vibrations in Rotating Machines, Cambridge 1980.Google Scholar
  7. (7).
    Krodkiewski, J.M. Parszewski, Z.A.: Computer Aided Analysis of Rotors Parametric Instabilities, Proc. IMACS Congress Montreal 1982.Google Scholar
  8. (8).
    Krodkiewski, J.M.: Parszewski, Z.A.: Rotor-Support Parametric Instability Limits in Terms of Rotor Receptances in Rotating Axes, Proc. IFTOMM Rotordynamics Conf. Rome, 1982, p. 55–65.Google Scholar

Copyright information

© Springer-Verlag Wien 1984

Authors and Affiliations

  • Z. A. Parszewski

There are no affiliations available

Personalised recommendations