On the two frequency spectra of Timoshenko beams

M. Levinson, D. W. Cooke

Research output: Contribution to journalArticlepeer-review


This paper is concerned with the question of whether there are, indeed, two distinct spectra of frequencies for the transverse vibrations of Timoshenko beams as has been claimed by a number of prior authors for the case of the simply supported beam and, more recently, for beams supported in an arbitrary manner. Elementary analysis leads to the conclusion that there is only a single frequency spectrum; in the particular case of the simply supported beam the "two frequency spectra" viewpoint may be expedient as a device to compute frequencies but does not serve otherwise to explain the complex, dynamical behavior of Timoshenko beams.

Original languageEnglish (US)
Pages (from-to)319-326
Number of pages8
JournalJournal of Sound and Vibration
Issue number3
StatePublished - Oct 8 1982
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering


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