Stability of Vibratory Modes in Moving Media

  • Stephen H. Crandall
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Summary

In many mechanical systems a uniform linear or rotational motion is imposed on part of the system; e.g., rail vehicles, bandsaws, turbines, pumps, motors, generators. In such systems the kinetic energy of the steady motion provides a large reservoir of energy which under certain circumstances can be channelled into unstable vibratory modes. This paper describes a variety of destabilizing mechanisms which permit the conversion of the steady-motion energy into vibratory energy in uniaxial wave-propagation subsystems in relative longitudinal motion and in various rotordynamic systems.

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References

  1. 1.
    Crandall, S.H., and Mroszczyk, J.W., Conservative and nonconservative coupling in dynamic systems, pp. 567–572 in Proc. I. Mech. E. Intl. Conf. 1988-7, Vibrations in Rotating Machinery, I. Mech. E., London, 1988.Google Scholar
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    Kimball, A. L., Jr., Internal friction theory of shaft whirling, Phys. Rev. 221, 703 (1923).Google Scholar
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    Kimball, A. L., Jr., Internal friction as a cause of shaft whirling, Phil. Mag. 649, 724–727 (1925).Google Scholar
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    Smith, D. M., The motion of a rotor carried by a flexible shaft in flexible bearings, Proc. Roy. Soc. London A142, 92–118 (1933).ADSGoogle Scholar

Copyright information

© Springer-Verlag, Berlin Heidelberg 1991

Authors and Affiliations

  • Stephen H. Crandall
    • 1
  1. 1.Massachusetts Institute of TechnologyCambridgeUSA

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