Vibrations of a Rotor under Combined Effects

  • Chong-Won Lee
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 21)


In chapter 7, we encountered the phenomenon that there is only a finite number of forward synchronous critical speeds of a shaft with uniformly distributed mass. In the light of the theory of flexural vibrations of a shaft, an infinite degree-of-freedom system, this phenomenon appears paradoxical. In section 8.2, an attempt will be made to overcome this paradox, by including the effect of shear deformation which is generally ignored in the theory of bending of beams and shafts.


Vibration Analysis Transverse Shear Critical Speed Crack Depth Rotary Inertia 
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  1. 1.
    R.L. Eshleman and R.A. Eubanks, “On the Critical Speeds of a Continuous Rotor,” J. Eng. for Industry, Nov. 1969, p. 1180–1188.Google Scholar
  2. 2.
    F.M. Dimentberg, Flexural Vibrations of Rotating Shaft, London, Butterworths, 1961, Chapter 11.Google Scholar
  3. 3.
    I. Porat and M. Niv, “Vibration of a Rotating Shaft by the ‘Timoshenko Beam’ Theory,” Israel Institute of Technology, Vol. 9, No. 5, 1971, p. 535–546.zbMATHGoogle Scholar
  4. 4.
    A. Tondl, Some Problems of Rotor Dynamics, Chapman & Hall, London, 1965, Chapter V.Google Scholar
  5. 5.
    R. G. Loewy and V. J. Piarulli, Dynamics of Rotating Shafts, The Shock and Vibration Information Center, United States Department of Defense, 1969, Chapter 6.Google Scholar
  6. 6.
    S. Timoshenko, D. H. Young and W. Weaver, Vibration Problems in Engineering, 4th ed., John Wiley & Sons, Inc., 1974.Google Scholar
  7. 7.
    K. B. Yim, S. T. Noah and J. M. Vance, “Effect of Tangential Torque on the Dynamics of Flexural Rotors,” J. Applied Mechanics, Vol. 53, 1986, p. 711–718.CrossRefGoogle Scholar
  8. 8.
    I. W. Mayes and W. G. R. Davies, “The Vibrational Behavior of a Rotating Shaft System Containing a Transverse Crack,” Proc. Instn. Mech. Engrs., Vol.168C, 1976.Google Scholar
  9. 9.
    R. Gasch, “Dynamic Behavior of a Simple Rotor,” I.Mech.E., C178/76.Google Scholar
  10. 10.
    T. A. Henry and B. E. Okah-Avae, “Vibrations in Cracked Shafts,” Proc. Instn. Mech. Engrs., Vol.162C, 1976.Google Scholar
  11. 11.
    O. S. Jun, H. J. Eun, Y. Y. Earmme and C. W. Lee, “Modeling and Vibration Analysis of a Simple Rotor with a Breathing Crack,” J. Sound and Vibration, Vol. 155, No. 2, 1992, p. 273–290.zbMATHCrossRefGoogle Scholar
  12. 12.
    C. W. Lee, J. S. Yun, and O. S. Jun, “Modeling of a Simple Rotor with a Switching Crack and its Experimental Verification,” J. Vibration and Acoustics, Vol. 114, 1992, p. 217–225.CrossRefGoogle Scholar
  13. 13.
    A. D. Dimargonas and S. A. Paipetis, Analytical Methods in Rotor Dynamics, Applied Science Publishers, London, 1983.Google Scholar
  14. 14.
    J. Schmied and E. Kramer, “Vibrational Behavior of a Rotor with a Cross-sectional Crack,” Proc. Instn. Mech. Engrs., Vol.279C, 1984.Google Scholar
  15. 15.
    I. W. Mayes and W. G. R. Davies, “Analysis of the Response of a Multi-rotor-bearing System Containing a Transverse Crack in a Rotor,” J. Vib., Acoust., Stress, and Reliability in Design, Vol. 106, 1984, p. 139–145.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  • Chong-Won Lee
    • 1
  1. 1.Center for Noise and Vibration Control (NOVIC), Department of Mechanical EngineeringKorea Advanced Institute of Science and TechnologyTaejonKorea

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