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Bifurcation and stability analysis of a rotating beam

  • Gross P
  • Gürgöze M
  • Kliem W
Quarterly of Applied Mathematics (1993) 51(4) 701-711
DOI: 10.1090/qam/1247435
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Abstract

We discuss small oscillations of an elastic beam clamped radially to the interior of a rotating ring. It is well known that if the speed of rotation is sufficiently high, the trivial equilibrium of the beam may lose stability and the beam buckles.

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Gross, P., Gürgöze, M., & Kliem, W. (1993). Bifurcation and stability analysis of a rotating beam. Quarterly of Applied Mathematics, 51(4), 701–711. https://doi.org/10.1090/qam/1247435

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