Effects of Crack and Tip Mass on Stability of Timoshenko Beam Subjected to Follower Force

종동력을 받는 티모센코 보의 안정성에 미치는 크랙과 끝질량의 영향

  • 손인수 (동의대학교 기계공학과) ;
  • 윤한익 (동의대학교 기계공학과) ;
  • 안태수 (동의대학교 대학원 기계공학과)
  • Published : 2008.06.01

Abstract

In this paper, the stability of a cracked cantilever Timoshenko beam with a tip mass subjected to follower force is investigated. In addition, an analysis of the flutter instability(flutter critical follower force) and a critical natural frequency of a cracked cantilever Euler / Timoshenko beam with a tip mass subjected to a follower force is presented. The vibration analysis on such cracked beam is conducted to identify the critical follower force for flutter instability based on the variation of the first two resonant frequencies of the beam. Therefore, the effect of the crack's intensity, location and a tip mass on the flutter follower force is studied. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations.

Keywords

References

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