Dynamic stability characteristics of axially accelerated beams

Hong Hee Yoo, Sung Jin Eun

Research output: Contribution to journalArticle


Dynamic stability of axially accelerated beams is investigated in this paper. The equations of motion of a fixed-free beam undergoing axially accelerated motion are derived. Unstable regions due to the acceleration are obtained by using the Floquet's theory. Stability diagrams are presented to illustrate the influence of the acceleration characteristics. Large unstable regions of flutter type instability exist around the first, twice the first, and twice the second bending natural frequencies. Divergence type instability also occurs when the acceleration exceeds a certain value. The validity of the stability diagram is confirmed by direct numerical integration of the equations of motion.

Original languageEnglish
Pages (from-to)1654-1658
Number of pages5
JournalKey Engineering Materials
Volume321-323 II
Publication statusPublished - 2006 Oct 12



  • Accelerated beam
  • Divergence type instability
  • Dynamic stability
  • Floquet's theory
  • Flutter type instability
  • Transition matrix

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