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A Study about the Damage Model of a Cantilever Beam with Open Crack Generated in Whole Breadth of the Beam

보의 폭 전체에서 발생된 열린 균열을 갖는 외팔보의 손상모델에 관한 연구

  • 허영철 (한국기계연구원 e-엔지니어링 연구센터) ;
  • 김재관 (서울대학교 지구환경시스템공학부) ;
  • 박성환 (한국기계연구원 e-엔지니어링 연구센터)
  • Published : 2007.10.20

Abstract

We studied the influences of open cracks in free vibrating beam with rectangular section using a numerical model. The crack was assumed to be single and always open during the free vibration and equivalent bending stiffness of a cracked beam was calculated based on the strain energy balance. By Galerkin's method, the frequencies of cantilever beam could be obtained with respect to various crack depths and locations. Also, the experiments on the cracked beams were carried out to find natural frequencies. The cracks were initiated at five locations and the crack depths were increased by five steps at each location. The experimental results were compared with the numerical results and the comparison results were discussed.

Keywords

References

  1. Doebling, S. W., Farrar, C. R., and Prime, M. B., 1998, 'A Summary Review of Vibration-based Damage Identification Methods', Shock and Vibration Digest, Vol. 30, pp.91-105 https://doi.org/10.1177/058310249803000201
  2. Meyendorf, N. and Berthold, A, 2006, 'New Trends in NDE and Health Monitoring', Proceedings of SPIE : Smart Structures and Materials/NDE for Health Monitoring and Diagnostics, Vol. 6179, pp. 617901-1-617901-10
  3. Irwin, G. R., 1957, 'Analysis of Stresses and Strains Near the End of a Crack Traversing a Plate', ASME Journal of Applied Mechanics, Vol. 24, pp.361-364
  4. Chondros, T. G. and Dimarogonas, A D., 1980, 'Identification of Cracks in Welded Joints of Complex Structures', Journal of Sound and Vibration, Vol. 69, pp.531-538 https://doi.org/10.1016/0022-460X(80)90623-9
  5. Dimarogonas, A D. and Massouros, G., 1981, 'Torsional Vibration of a Shaft with Circumferential Crack', Engineering Fracture Mechanics, Vol. 15, pp. 439-444 https://doi.org/10.1016/0013-7944(81)90069-2
  6. Dimarogonas, A D. and Papadopoulos, C. A, 1983, 'Vibration of Cracked Shafts in Bending', Journal of Sound and Vibration, Vol. 91, pp, 583-593 https://doi.org/10.1016/0022-460X(83)90834-9
  7. Gudmundson, P., 1983, 'The Dynamic Behaviour of Slender Structures with Crosssectional Cracks', J. Mech. Physics Solids, Vol. 31, pp. 329-345 https://doi.org/10.1016/0022-5096(83)90003-0
  8. Christides, S. and Barr, A D. S., 1984, 'One-dimensional Theory of Cracked BernoulliEuler Beams', International Journal Mechanics Science, Vol. 26, pp.639-648 https://doi.org/10.1016/0020-7403(84)90017-1
  9. Shen, M. H. and Pierre, C., 1994, 'Free Vibrations of Beams with a Single-edge Crack', Journal of Sound and Vibration, Vol. 170, pp.237-259 https://doi.org/10.1006/jsvi.1994.1058
  10. Chondros, T. G. and Dimarogonas, A D., 1998, 'Vibration of a Cracked Cantilever Beam', Journal of Vibration and Acoustics, Vol. 120, pp. 742-746 https://doi.org/10.1115/1.2893892
  11. Chondros, T. G. and Dimarogonas, A. D., 1998, 'A Continuous Cracked Beam Vibration Theory', Journal of Sound and Vibration, Vol. 215, pp.17-34 https://doi.org/10.1006/jsvi.1998.1640
  12. Ha, T. W. and Song, O. S., 1999, 'A Study on the Dynamic Characteristics of a Composite Beam with a Transverse Open Crack', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 9, No.5, pp. 1019-1028
  13. Hong, S. W., Choi, S. H. and Lee, C. W., 2003, 'Dynamic Modeling and Analysis of General Rotor Systems with Open Cracks', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 13, No.4, pp.290-299 https://doi.org/10.5050/KSNVN.2003.13.4.290
  14. Yoon, H, I. and Son, I. S., 2004, 'A Study on Dynamic Behavior of Cantilever Pipe Coveying Fluid with Crack and Moving Mass(1) - Focused on the Amplitude Characteristics-', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 14, No. 12, pp. 1304-1313 https://doi.org/10.5050/KSNVN.2004.14.12.1304
  15. Yang, X. F., Swamidas, A. S. J. and Seshadri, R, 2001, 'Crack Identification in Vibrating Beams Using the Energy Method', Journal of Sound and Vibration, Vol. 244, pp.339-357 https://doi.org/10.1006/jsvi.2000.3498
  16. Owolabi, G. M., Swamidas, A. S. J. and Seshadri, R, 2003, 'Crack Detection in Beams Using Changes in Frequencies and Amplitudes of Frequency Response Functions', Journal of Sound and Vibration, Vol. 265, pp.1-22 https://doi.org/10.1016/S0022-460X(02)01264-6
  17. Gdoutos, E. E., 1993, Fracture Mechanics, Dordrecht : Kluwer Academic Publishers
  18. Gorman, D. J., 1975, Free Vibration Analysis of Beams and Shafts, John Wiley and Sons, Inc

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