축 방향 가속을 받는 보 구조물의 동적 안정성 해석

Dynamic Stability Analysis of an Axially Accelerating Beam Structure

  • 은성진 (한양대학교 대학원 기계설계학과) ;
  • 유홍희 (한양대학교 공과대학 기계공학부)
  • 발행 : 2005.05.01

초록

Dynamic stability of an axially accelerating beam stucture is investigated in this paper. The equations of motion of a fixed-free beam are derived using the hybrid deformation variable method and the assumed mode method. Unstable regions due to periodical acceleration are obtained by using the Floquet's theory. Stability diagrams are presented to illustrate the influence of the dimensionless acceleration, amplitude, and frequency. Also, buckling occurs when the acceleration exceeds a certain value. It is found that relatively targe unstable regions exist around the first bending natural frequency, twice the first bending natural frequency, and twice the second bending natural frequency. The validity of the stability diagram is confirmed by direct numerical integration of the equations of motion.

키워드