한국소음진동공학회논문집 (Transactions of the Korean Society for Noise and Vibration Engineering)

  • 제18권12호
  • /
  • Pages.1327-1334
  • /
  • 2008
  • /
  • 1598-2785(pISSN)
  • /
  • 2287-5476(eISSN)
한국소음진동공학회 (The Korean Society for Noise and Vibration Engineering)
권호 표지
DOI QR코드

DOI QR Code

경사 종동력을 받는 티모센코 보의 안정성에 미치는 크랙의 영향

Effects of Crack on Stability of Timoshenko Beams Subjected to Subtangential Follower Force

  • 발행 : 2008.12.20
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, the purpose is to investigate the stability of cracked Timoshenko cantilever beams subjected to subtangential follower force. In addition, an analysis of the instability(critical follower force of flutter and divergence) of a cracked beam as slenderness ratio and subtangential coefficient is investigated. The governing differential equations of a Timoshenko beam subjected to an end tangential follower force is derived via Hamilton's principle. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. The results of this study will contribute to the safety test and stability estimation of structures of a cracked beam subjected to subtangential follower force.

키워드

참고문헌

  1. Kounadis, A. and Tatsikadelis, J. T., 1976, 'Shear and Rotatory Inertia Effect on Beck's Column,' Journal of Sound and Vibration, Vol. 49, No. 2, pp. 171-178 https://doi.org/10.1016/0022-460X(76)90494-6
  2. Saito, H. and Otomi, K., 1979, 'Vibration and Stability of Elastically Supported Beams Carrying an Attached Mass Under Axial and Tangental Loads,' Journal of Sound and Vibration, Vol. 62, No. 2, pp. 257-266 https://doi.org/10.1016/0022-460X(79)90025-7
  3. Rosa, M. A. and Franciosi, C., 1990, 'The Influence of an Intermediate Support on the Stability Behaviour of Cantilever Beams Subjected to Follower force,' Journal of Sound and Vibration, Vol. 137, No. 1, pp. 107-115 https://doi.org/10.1016/0022-460X(90)90719-G
  4. Lee, S. Y., Kuo, Y. H. and Lin, F. Y., 1992, 'Stability of a Timoshenko Beam Resting on a Winkler Elastic Foundation,' Journal of Sound and Vibration, Vol. 153, No. 2, pp. 193-202 https://doi.org/10.1016/S0022-460X(05)80001-X
  5. Farchaly, S. H. and Shebl, M. G., 1995, 'Exact Frequency and Mode Shape Formulae for Studying Vibration and Stability of Timoshenko Beam System,' Journal of Sound and Vibration, Vol. 180, No. 2, pp. 205-227 https://doi.org/10.1006/jsvi.1995.0075
  6. Rosa, M. A., 1995, 'Free Vibrations of Timoshenko Beams on Two-parameter Elastic Foundation,' Computers and Structures, Vol. 57, No. 1, pp. 151-156 https://doi.org/10.1016/0045-7949(94)00594-S
  7. Lee, S. Y., Chen, T. Y. and Wang, W. R., 1995, 'Non-conservative Instability of a Timoshenko Beam Subjected to a Partially Tangential Follower Force,' Journal of Sound and Vibration, Vol. 188, No. 1, pp. 25-38 https://doi.org/10.1006/jsvi.1995.0576
  8. Detinko, F. M., 2003, 'Lumped Damping and Stability of Beck Column with a Tip Mass,' International Journal of Solids and Structures, Vol. 40, No. 17, pp. 4479-4486 https://doi.org/10.1016/S0020-7683(03)00298-1
  9. Son, I. S., Yoon, H. I. and Ahn, T. S., 2007, 'Stability Analysis of Cracked Cantilever Beam with Tip Mass and Follower Force,' Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 17, No. 7, pp. 605-610 https://doi.org/10.5050/KSNVN.2007.17.7.605
  10. Son, I. S., Yoon, H. I. and Ahn, T. S., 2008, 'Effects of Crack and Tip Mass on Stability of Timoshenko Beam Subjected to Follower Force,' Journal of KSPE, Vol. 25, No. 6, pp. 99-107
  11. Wang, Q., 2004, 'A Comprehensive Stability Analysis of a Cracked Beam Subjected to Follower Compression,' International Journal of Solids and Structures, Vol. 41, pp. 4875-4888 https://doi.org/10.1016/j.ijsolstr.2004.04.037
  12. Yoon, H. I., 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
  13. Meirovitch, L., 1967, Analytical Methods in Vibration, The Macmillan Company, New York, Chapter 5
  14. Harris, C. M., 1961, Shock and Vibration Handbook(Fourth Edition), McGraw-Hill, Chapter 7
  15. Igor, A. K. and Olga, I. L., 2001, Forumlas for Structural Dynamics, McGraw-Hill, Chapter 11
  16. Rossi, R. E., Laura, P. A. A. and Gutierrez, R. H., 1990, 'A Note on Transverse Vibrations of a Timoshenko Beam of Non-uniform Thickness Clamped at One End and Carrying a Concentrated Mass at the Other,' Journal of Sound and Vibration, Vol. 143, No. 3, pp. 491-502 https://doi.org/10.1016/0022-460X(90)90738-L