Journal of the Korean Society for Precision Engineering (한국정밀공학회지)

Korean Society for Precision Engineering (한국정밀공학회)
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Dynamic Behavior of Timoshenko Beam with Crack and Moving Mass

크랙과 이동질량이 존재하는 티모센코 보의 동특성

  • 윤한익 (동의대학교 기계공학부) ;
  • 최창수 (부산정보대학 기계자동차계열) ;
  • 손인수 (동의대학교 대학원 기계공학과)
  • Published : 2005.01.01
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Abstract

This paper study the effect of open cracks on the dynamic behavior of simply supported Timoshenko beam with a moving mass. The influences of the depth and the position of the crack in the beam have been studied on the dynamic behavior of the simply supported beam system by numerical method. Using Lagrange's equation derives the equation of motion. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments i.e. the crack is modeled as a rotational spring. This flexibility matrix defines the relationship between the displacements and forces on the crack section and is derived by the applying fundamental fracture mechanics theory. As the depth of the crack is increased the mid-span deflection of the Timoshenko beam with the moving mass is increased. And the effects of depth and position of crack on dynamic behavior of simply supported beam with moving mass are discussed.

Keywords

References

  1. Ruotolo, R., Surace, C., Crespo, P. and Storer, D., 'Harmonic Analysis of the Vibration of a Cantilevered Beam with a Closing Crack,' Computers & Structures, Vol. 61, No.6, pp. 1057-1074,1996 https://doi.org/10.1016/0045-7949(96)00184-8
  2. Ghondros, T. G., Dimarogonas, A. D. and Yao, J., 'A Continuous Cracked Beam Vibration Theory,' Journal of Sound and Vibration, Vol. 215, No. 1, pp. 17-34, 1998 https://doi.org/10.1006/jsvi.1998.1640
  3. Bamnios, Y., Douka, E. and Trochidis, A., 'Crack Identification in Beam Structures Using Mechanical Impedance,' Journal of Sound and Vibration, Vol. 256, No.2, pp. 287-297, 2002 https://doi.org/10.1006/jsvi.2001.4209
  4. Yoon, H. I., Lee, Y. W. and Son, I. S., 'Influence of Crack on Dynamic Behavior of Simply Supported Beam with Moving Mass,' Transactions of the KSNVE, Vol. 13, No.9, pp. 720-729,2003
  5. Zheng, D. Y. and Fan, S. C., 'Natural Frequency Canages of a Cracked Timoshenko Beam by Modified Fourier Series,' Journal of Sound and Vibration, Vol. 246, No.2, pp. 297-317, 200l https://doi.org/10.1006/jsvi.2001.3632
  6. Hong, S. W., Kim, M. D. and Lee, J. W., 'Dynamic Modeling and Analysis of Beam Structures with Cracks,' Journal of the KSPE, Vol. 20, No.6, pp. 197-204, 2003
  7. Kim, K. H. and Kim, J. H., 'Effect of a Crack on The Dynamic Stability of a Free-free Beam Subjected to a Follower Force,' Journal of Sound and Vibration, Vol. 233, No. 1, pp.119-135,2000 https://doi.org/10.1006/jsvi.1999.2793
  8. Viola, E., Federici, L. and Nobile, L., 'Detection of Crack Location Using Cracked Bema Element Method for Structural Analysis,' Theoretical and Applied Fracture Mechanics, Vol. 36, pp. 23-35, 2001 https://doi.org/10.1016/S0167-8442(01)00053-2
  9. Tsai, T. C. and Wang, Y. Z., 'The Vibration of a Multi-Crack Rotor,' Int. Journal of Mech. Sci., Vol. 39, No.9, pp. 1037-1053, 1997 https://doi.org/10.1016/S0020-7403(97)00005-2
  10. Mahmoud, M. A. and Abou Zaid, M. A., 'Dynamic Response of a Beam with a Crack Subject to a Moving Mass,' Journal of Sound and Vibration, Vol. 256, No.4, pp. 591-603,2002 https://doi.org/10.1006/jsvi.2001.4213
  11. Kgor, A. K. and Olga, I. L., Formulas for Structural Dynamics, McGraw-Hill, 2001
  12. Krawczuk, M., Palacz, M. and Ostachowicz, W., 'The Dynamic Analysis of a Cracked Timoshenko Beam by the Spectral Element Method,' Journal of Sound and Vibration, Vol. 264, pp. 1139-1153, 2003 https://doi.org/10.1016/S0022-460X(02)01387-1