A study on the Modeling and Dynamic Analysis of Cracked Beam Structures

균열이 있는 보의 모델링 및 동적 해석에 관한 연구

  • 홍성욱 (금오공과대학교 기계공학부) ;
  • 김만달 (금오공과대학교 대학원) ;
  • 이종원 (한국과학기술원 기계공학과)
  • Published : 2003.06.01

Abstract

This paper presents an efficient modeling and dynamic analysis method for open cracked beam structures. An equivalent bending spring model is introduced to represent the structural weakening effect in the presence of cracks. The proposed method adopts the exact dynamic element method (EDEM) to avoid the inconvenience and numerical errors in association with re-meshing the structural model with the crack position changed. The proposed modeling method is validated through a series of simulation and experiments. First, the proposed method is rigorously compared with a commercial finite element code. Then, two kinds of experiments are performed to validate the proposed modeling method. Finally, a diagnostic scheme fur open cracked beam structures is proposed and demonstrated through a numerical example.

Keywords

References

  1. Tada, H., Paris, P. and Irwin, G. The Stress Analysis of Cracks Handbook, 2nd ed., St. Louis, Research Cooperation, 1985
  2. Gounaris, G. D. and Papadopoudos, C. A., 'Analysis and experimental crack identification of beam structures in air or in fluid,' Computer and Structures, Vol. 65, No. 5, pp. 633-639, 1997 https://doi.org/10.1016/S0045-7949(96)00440-3
  3. Fernandez-Saez, J., Rubio, L. and Navarro, C., 'Approximate calculation of the fundamental frequency for bending vibrations of cracked beams,' Journal of Sound and Vibration, Vol. 225, No. 2, pp. 345-352, 1999 https://doi.org/10.1006/jsvi.1999.2251
  4. Zheng, D. Y. and Fan, S. C., 'Natural frequency changes of a cracked Timoshenko beam by modified Fourier series,' Journal of Sound and Vibration, Vol. 246, No. 2, pp. 297-317, 2001 https://doi.org/10.1006/jsvi.2001.3632
  5. Yang, X. F., Swamidas, A. S. J. and Seshadri, R., 'Crack identification in vibrating beams using the energy method,' Journal of Sound and Vibration, Vol. 244, No. 2, pp. 339-357, 2001 https://doi.org/10.1006/jsvi.2000.3498
  6. Hjelmstad, K. D. and Shin, S., 'Crack identification in a cantilever beam from modal response,' Journal of Sound and Vibration, Vol. 198, No. 5, pp. 527-545, 1996 https://doi.org/10.1006/jsvi.1996.0587
  7. Boltezar, M., Strancar, B. and Kuhelj, A., 'Identification of transverse crack location in flexural vibration of free-free beams,' Journal of Sound and Vibration, Vol. 211, No. 5, pp. 729-734, 1998 https://doi.org/10.1006/jsvi.1997.1410
  8. Viola, E., Federici, L. and Nobile, L., 'Detection of crack location using cracked beam 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. Chinchalkar, S., 'Determination of crack location in beams using natural frequencies,' Journal of Sound and Vibration, Vol. 247, No. 3, pp. 417-429, 2001 https://doi.org/10.1006/jsvi.2001.3748
  10. Dimarogonas, A. D., 'Vibration of cracked structrure: a state of the art review,' Engineering Fracture Mechanics, Vol. 55, pp. 831-857, 1996 https://doi.org/10.1016/0013-7944(94)00175-8
  11. Narayana, K. L. and Jebaraj, C., 'Sensitivity analysis of local/global modal parameters for identification of a crack in a beam,' Journal of Sound and Vibration, Vol. 228, No. 5, pp. 977-994, 1999 https://doi.org/10.1006/jsvi.1999.2445
  12. Chondros, T. G., Dimarogonas, A. D. and Yao, D., 'Vibration of a beam with a breathing crack,' Journal of Sound and Vibration, Vol. 239, No. 1, pp. 57-67, 2001 https://doi.org/10.1006/jsvi.2000.3156
  13. Hong, S. W.;, im, J. W. and Park, J. H., 'A method for determining exact medal parameters of nonuniform, continuous beam structures with damping elements,' Journal of the KSPE, Vol. 15, No. 12, pp. 202-211, 1998
  14. ABAQUS User's Manual Version 5.7, Hibbcitt, Karlsson & Sorensen, Inc., 1997