Stability Analysis of Cracked Beams with Subtangential Follower Force and Tip Mass

경사 종동력과 끝질량을 갖는 크랙 보의 안정성 해석

  • 손인수 (동의대학교 기계공학과) ;
  • 윤한익 (동의대학교 기계공학과) ;
  • 노태우 (동의대학교 대학원 기계공학과)
  • Published : 2009.12.01


In this paper, the purpose is to investigate the stability and variation of natural frequency of a cracked cantilever beams subjected to follower force and tip mass. In addition, an analysis of the flutter instability(flutter critical follower force) of a cracked cantilever beam as slenderness ratio and crack severity is investigated. The governing differential equations of a Timoshenko beam subjected to an end tangential follower force is derived via Hamilton's principle. The two coupled governing differential equations are reduced to one fourth order ordinary differential equation in terms of the flexural displacement. Finally, the influence of the slenderness ratio and crack severity on the critical follower force, stability and the natural frequency of a beam are investigated.


Cracked Beam;Stability;Subtangential Follower Force;Slenderness Ratio;Tip Mass


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