Journal of KSNVE (소음진동)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Dynamic stability analysis of axially oscillating cantilever beams

축방향 왕복운동을 하는 외팔보의 동적 안정성 해석

  • 현상학 (한양대학교 대학원, 기계설계학과) ;
  • 유홍희 (한양대학 공과대학 기계설계학과)
  • Published : 1996.08.01
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Abstract

Dynamic stability of an axially oscillating cantilever beam is investigated in this paper. The equations of motion are derived and transformed into non-dimensional ones. The equations include harmonically oscillating parameters which originate from the motion-induced stiffness variation. Using the equations, the multiple scale perturbation method is employed to obtain a stability diagram. The stability diagram shows that relatively large unstable regions exist around the frequencies of the first bending natural frequency, twice the first bending natural frequency, and twice the second bending natural frequency. The validity of the diagram is proved by direct numerical simulations of the dynamic system.

Keywords

References

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