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

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Analysis of Stability and Dynamic Behaviour of Cracked Cantilever T-beams Subjected to Axial Force

축압축력을 받는 T형상 크랙 보의 안정성 및 동특성 해석

  • 손인수 (동의대학교 기계공학과) ;
  • 조정래 (한국폴리텍VI대학 달성캠퍼스 자동차과) ;
  • 윤한익 (동의대학교 기계공학과)
  • Received : 2009.12.03
  • Accepted : 2010.04.28
  • Published : 2010.05.20
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Abstract

In this paper, the purpose is to investigate the stability of cracked cantilever T-beams subjected to axial force. In addition, an analysis of the natural frequency of a cracked beams as crack position, crack depth and tip mass is investigated. Based on the Euler-Bernoulli beam theory, the equation of motion is derived by the energy expressions using extended 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 T-beams subjected to axial force.

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References

  1. 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
  2. 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
  3. Sato, K., 1996, "Instability of a Clampedelastically Restrained Timoshenko Column Carrying a Tip Load, Subjected to a Follower Force," Journal of Sound and Vibration, Vol. 194, No. 4, pp. 623-630. https://doi.org/10.1006/jsvi.1996.0381
  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. 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
  6. 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
  7. 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.
  8. Li, J., Shen, R., Hua, H. and Jin, X., 2004, "Response of Monosymmetric Thin-walled Timoshenko Beams to Random Excitations," International Journal of Solids and Structures, Vol. 41, pp. 6023-6040. https://doi.org/10.1016/j.ijsolstr.2004.05.030
  9. Chen, H. H. and Hsiao, K. M., 2007, "Coupled Axial-torsional Vibration of Thin-walled Z-section Beam Induced by Boundary Conditions," Thin-Walled Structures, Vol. 45, pp. 573-583. https://doi.org/10.1016/j.tws.2007.05.001
  10. Back, S. Y. and Will, K. M, 2008, "Shearflexible Thin-walled Element for Composite I-beams," Engineering Structures, Vol. 30, pp. 1447-1458. https://doi.org/10.1016/j.engstruct.2007.08.002
  11. Viola, E., Ricci, P. and Aliabadi, M. H., 2007, "Free Vibration Analysis of Axially Loaded Cracked Timoshenko Beam Structures Using the Dynamic Stiffness Method," Journal of Sound and Vibration, Vol. 304, pp. 124-153. https://doi.org/10.1016/j.jsv.2007.02.013
  12. Ricci, P. and Viola, E., 2006, "Stress Intensity Factors for Cracked T-sections and Dynamic Behaviour of T-beams," Engineering Fracture Mechanics, Vol. 73, pp. 91-111. https://doi.org/10.1016/j.engfracmech.2005.06.003
  13. Khiem, N. T. and Line, T. V., 2001, "A Simplified Method for Natural Frequency Analysis of a Multiple Cracked Beam," Journal of Sound and Vibration, Vol. 245, No. 4, pp. 737-751. https://doi.org/10.1006/jsvi.2001.3585