DOI QR코드

DOI QR Code

끝단질량과 종동력을 가진 크랙 외팔 보의 안정성 해석

Stability Analysis of Cracked Cantilever Beam with Tip Mass and Follower Force

  • 손인수 (동의대학교 기계공학과) ;
  • 윤한익 (동의대학교 기계공학과) ;
  • 안태수 (동의대학교 대학원 기계공학과)
  • 발행 : 2007.07.20

초록

In this paper a dynamic behavior(natural frequency) of a cracked cantilever beam subjected to follower force is presented. In addition, an analysis of the flutter and buckling instability of a cracked cantilever beam subjected to a follower compressive load is presented. Based on the Euler-Bernoulli beam theory, the equation of motion can be constructed by using the Lagrange's equation. 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.

키워드

참고문헌

  1. Beck, M., 1952, 'Die Knicklast des Einseitig Eingespannten Tangential Gedrukten Stabes', ZAMP, Vol. 3, pp. 225-228 https://doi.org/10.1007/BF02008828
  2. Datta, P. K and Lal, M. K., 1992, 'Parametric Instability of a Non-prismatic Bar with Localized Damage Subjected to an Intermediate Periodic Axial Load', Computer and Structures, Vol. 4, No. 6 pp. 1199-1202
  3. Ruotolo, R, Surace, C., Crespo, P. and Storer, D., 1996, 'Harmonic Analysis of The Vibrations of a Cantilevered Beam with a Closing Crack', Computers and Structures, Vol. 61, No. 6, pp. 1057-1074 https://doi.org/10.1016/0045-7949(96)00184-8
  4. Takahashi, I., 1997, 'Vibration and Stability of a Cracked Shaft Simultaneously Subjected to a Follower Force with an Axial Force', Int. Journal of Solids and Structures, Vol. 35, No. 23, pp. 3071-3080 https://doi.org/10.1016/S0020-7683(97)00364-8
  5. Takahashi, I., 1999, 'Vibration and Stability of Non-uniform Cracked Timoshenko Beam Subjected to Follower Force', Computers and Structures, Vol. 71, pp. 585-591 https://doi.org/10.1016/S0045-7949(98)00233-8
  6. Liu, D., Gurgenci, H. and Veidt, M., 2003, 'Crack Detection in Hollow Section Structures Through Coupled Response Measurements', Journal of Sound and Vibration, Vol. 261, pp. 17-29 https://doi.org/10.1016/S0022-460X(02)00922-7
  7. Wang, Q., 2004, 'A Comprehensive Stability Analysis of a Cracked Beam Subjected to Follower Compression', Int. Journal of Solids and Structures, Vol. 41, pp.4875-4888 https://doi.org/10.1016/j.ijsolstr.2004.04.037
  8. Dado, M. H. F. and Abuzeid, O., 2003, 'Coupled Transverse and Axial Vibration Behaviour of Cracked Beam with End Mass and Rotary Inertia', Journal of Sound and Vibration, Vol. 261, pp. 675-696 https://doi.org/10.1016/S0022-460X(02)01004-0
  9. Yoon, H. K., Son, I. S. and Ahn, T. S., 2007, 'Stability Analysis of Pipe Conveying Fluid with Crack', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 17, No. 1, pp. 10-16 https://doi.org/10.5050/KSNVN.2007.17.1.010
  10. Paidoussis, M, P., 1998, Fluid-structure Interactions (Volume 1), Academic Press
  11. Igor, A. K. and Olga, I .L. 2001, Formulas Structural Dynamics, Mc-Graw Hill, New York