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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.8
- 수록면
- 60 - 67 (8page)
- DOI
- 10.9726/kspse.2020.24.4.060
이용수
초록· 키워드
오류제보하기
In this paper, the purpose is to investigate the stability and variation of the natural frequency of a cracked Timoshenko cantilever beam subjected to sub-tangential follower force and a tip mass. In addition, an analysis of the flutter instability of a cantilever beam according to the change of slenderness ratio is studied. The governing differential equations of a Timoshenko beam, subjected to an end tangential follower force, are 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, a tip mass on the critical follower force, and the natural frequency of a Timoshenko beam are investigated. It is found that a difference of only 29% between the first natural frequency of the Euler beam model and that of the Timoshenko beam exists in the special case. By using the results of this paper, a judgment base is obtained as regards the choice of cracked beam models for the effect of the slenderness ratio and sub-tangential follower force. Furthermore, the effect of crack on the dynamic behavior of beams with a tip mass is investigated.
목차
Abstract
1. Introduction
2. Equations of motion
3. Numerical results and discussion
4. Conclusions
References
참고문헌 (14)
참고문헌 신청
Max Beck / 1952 / Die Knicklast des einseitig eingespannten, tangential gedrückten Stabes / ZAMP Zeitschrift für angewandte Mathematik und Physik 3(6):476~477
A. Kounadis / 1976 / Shear and rotatory inertia effect on Beck's column / Journal of Sound and Vibration 49(2):171~178
H. I. Yoon / 1984 / The Influence of Inertial Moment of Tip Mass on the Stability of Beck’s Column / Trans. of KSME 8(2):119~126
S.Y. Lee / 1995 / NON-CONSERVATIVE INSTABILITY OF A TIMOSHENKO BEAM SUBJECTED TO A PARTIALLY TANGENTIAL FOLLOWER FORCE / Journal of Sound and Vibration 188(1):25~38
F.M. Detinko / 2003 / Lumped damping and stability of Beck column with a tip mass / International Journal of Solids and Structures 40(17):4479~4486
A. Kounadis / 1976 / Shear and rotatory inertia effect on Beck's column / Journal of Sound and Vibration 49(2):171~178
H. I. Yoon / 1984 / The Influence of Inertial Moment of Tip Mass on the Stability of Beck’s Column / Trans. of KSME 8(2):119~126
S.Y. Lee / 1995 / NON-CONSERVATIVE INSTABILITY OF A TIMOSHENKO BEAM SUBJECTED TO A PARTIALLY TANGENTIAL FOLLOWER FORCE / Journal of Sound and Vibration 188(1):25~38
F.M. Detinko / 2003 / Lumped damping and stability of Beck column with a tip mass / International Journal of Solids and Structures 40(17):4479~4486
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