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끝단질량과 종동력을 갖는 크랙 티모센코 보의 동적 안정성
안태수(Tae-Su Ahn),윤한익(Han-Ik Yoon),손인수(In-Soo Son) 대한기계학회 2007 대한기계학회 춘추학술대회 Vol.2007 No.10
In this paper, the stability of a cracked cantilever beam subjected to follower force is presented. In addition, an analysis of the flutter instability(flutter critical follower force) of a cracked cantilever beam subjected to a follower compressive load is presented. Based on the Timoshenko beam theory. 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. Besides, the effect of the crack's intensity and location 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. Generally, the critical follower force for flutter is proportional to the crack depth.