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Elastic bending vibrations of a rod carrying electric current

  • N. I. Dolbin
  • A. I. Morozov
Article
  • 33 Downloads

Abstract

In [1] a dispersion relation for the vibrations of an elastic rod of circular cross section with an electric current flowing over its surface was obtained, and a detailed study was made of the particular case of axially symmetric vibrations. The present paper is devoted to an examination of the longwave bending vibrations of elastic rods with an electric current flowing over their surface. These vibrations are of special interest since they have the lowest frequency and hence the last stability.

Keywords

Mathematical Modeling Mechanical Engineer Special Interest Dispersion Relation Electric Current 
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.

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References

  1. 1.
    N. I. Dolbin, “Propagation of elastic wavesin a current-carrying rod,” PMTF, no. 2, 104, 1962.Google Scholar
  2. 2.
    H. Kolsky, Stress Waves in Solids, Oxford, 1953.Google Scholar
  3. 3.
    M. A. Leontovich and V. D. Shafranov, “Stability of a flexible conductor in a longitudinal magnetic field,” in: Plasma Physics and Problems of Controlled Thermonuclear Reactions [in Russian], Izd-vo AN SSSR, vol. 1, 1958.Google Scholar
  4. 4.
    N. W. McLachlan, Theory and Application of Mathieu Functions, [Russian translation], Izd. inostr. lit., 1953.Google Scholar
  5. 5.
    E. T. Whittaker and G. N. Watson, Modern Analysis, Vol. 2 [Russian translation], Fizmatgiz, 1963.Google Scholar

Copyright information

© The Faraday Press, Inc. 1969

Authors and Affiliations

  • N. I. Dolbin
    • 1
  • A. I. Morozov
    • 1
  1. 1.Moscow

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