Dynamic analysis of a spinning Rayleigh beam

G. J. Sheu, S. M. Yang

Research output: Contribution to journalArticlepeer-review

70 Citations (Scopus)


The whirl speed, critical speed and mode shape of a spinning beam in six general boundary conditions are investigated analytically in this paper. The beam is in Rayleigh model with rotatory inertia and gyroscopic effects. It is shown that the whirl speeds and critical speeds can be expressed analytically by a function of the slenderness ratio (l) defined by the beam length over its radius. Contrary to common belief, only finite number of critical speeds can be found in all speed ranges. The number is functional of l, but independent of the boundary conditions. The system's unbalanced response can therefore be expressed analytically by these finite precessional modes and the corresponding generalized coordinates.

Original languageEnglish
Pages (from-to)157-169
Number of pages13
JournalInternational Journal of Mechanical Sciences
Issue number2
Publication statusPublished - 2005 Feb

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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