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Modeling and damage detection for cracked I-shaped steel beams

  • Zhao, Jun (A. Epstein and Sons, Inc.) ;
  • DeWoIf, John T. (Department of Civil & Environmental Engineering, University of Connecticut)
  • Received : 2005.06.03
  • Accepted : 2006.08.25
  • Published : 2007.01.30

Abstract

This paper presents the results of a study to show how the development of a crack alters the structural behavior of I-shaped steel beams and how this can be used to evaluate nondestructive evaluation techniques. The approach is based on changes in the dynamic behavior. An approximate finite element model for a cracked beam with I-shaped cross-section is developed based on a simplified fracture model. The model is then used to review different damage cases. Damage detection techniques are studied to determine their ability to identify the existence of the crack and to identify its location. The techniques studied are the coordinate modal assurance criterion, the modal flexibility, and the state and the slope arrays.

Keywords

References

  1. Aktan, A.B., Lee, L. and Dalal, V. (1995), 'Multireference modal testing for bridge diagnostics', North American Workshop on Instrumentation and Vibration Analysis ofHighway Bridges, Cincinnati, Ohio
  2. Alampalli, S., Fu, G. and Dillon, E.W. (1995), 'Measuring bridge vibration for detection of structural damage', Report FHWA/RR-95/165
  3. Allemang, R.J. and Brown, D.L. (1982), 'A correlation coefficient for modal vector analysis', Proc. of First Int. Modal Analysis Conf, Bethel, CT
  4. DeWolf, J.T., Conn, P.E. and O'Leary, P.N. (1995), 'Continuous monitoring of bridge structures', IABSE Symposium, San Francisco, CA
  5. DeWolf, IT and Zhao, J. (1998), 'Dynamic vibrational techniques in bridge monitoring', Technical Report to Connecticut Department of Transportation, Report CEE-98-1
  6. Dimarogonas, A.D. and Paipetis, S.A. (1983), Analytical Methods in Rotor Dynamics, Applied Science Publishers, London
  7. Gudmundson, P. (1982), 'Eigenfrequency changes of structures due to cracks, notches or other geometrical changes', J Mech., Phys.. Solids, 30(5) https://doi.org/10.1016/0022-5096(82)90010-2
  8. Gudmundson, P. (1983), 'The dynamic behavior of slender structures with cross-section cracks', J Mech.. Phys., Solids, 31(4)
  9. Hoyos, A and Aktan, AE. (1987), 'Regional identification of civil engineered structures based on impact induced transient responses', Res. Report 87-1, Louisiana State Univ., Baton Rouge, LA
  10. Inagaki, T., Kanki, H. and Shiraki, K. (1982), 'Transverse vibrations of a general cracked-rotor bearing system', J of Mech. Design, 104
  11. Kim, J. and Stubbs, N. (1995), 'Model-uncertainty impact and damage-detection accuracy in plate girder', J Struct. Eng., 121(10),1409-1417 https://doi.org/10.1061/(ASCE)0733-9445(1995)121:10(1409)
  12. Lauzon, R.G and DeWolf, J.T. (1996), 'Nondestructive evaluation with vibrational analysis', Nondestructive Testing Methods for Civil Infrastructure, ASCE
  13. Lauzon, R.G and DeWolf, IT. (1993), 'Full-scale bridge test to monitor vibrational signatures', Structural Engineering in Natural Hazards Mitigation, Irvine, CA
  14. Law, S.S., Ward, H.S., Shi, GB., Chen R.Z., Waldron, P. and Taylor, C. (1995), 'Dynamic assessment of bridge load-carrying capacities', J Struct. Eng., 121(3), 478-487 https://doi.org/10.1061/(ASCE)0733-9445(1995)121:3(478)
  15. Lieven, N.A.J. and Ewins, D.J. (1988), 'Spatial correlation of mode shapes, The Coordinate Modal Assurance Criterion (COMAC)', Proc. of Sixth Int. Modal Analysis Conf., Kissimmee, Florida
  16. Papadopoulos, C.A. and Dimarogonas, A.D. (1987), 'Coupled longitudinal and bending vibrations of a rotating shaft with an open crack', J Sound Vib., 117(1), 81-93 https://doi.org/10.1016/0022-460X(87)90437-8
  17. Papadopoulos, C.A. and Dimarogonas, A.D. (1987), 'Coupled of bending and torsional vibration of a cracked Timoshenko shaft', Ingenieur Archive, 57, 495-505
  18. Qian, GL., Gu, S.N. and Jiang, J.S. (1990), 'The dynamic behavior and crack detection of a beam with a crack', J Sound Vib., 138(2), 233-243 https://doi.org/10.1016/0022-460X(90)90540-G
  19. Raghavendrachar, M. and Aktan, A.E. (1992), 'Flexibility by multireference impact testing for bridge diagnostics', J Struct. Eng., 118(8),2186-2203 https://doi.org/10.1061/(ASCE)0733-9445(1992)118:8(2186)
  20. R.I. Shores Cracked Viaduct (1988), Engineering News-Record, McGraw-Hill, Inc. New York, NY, 20-21
  21. Shelley, S.J. (1995), 'Dynamic testing (Vibration Analysis) of highway bridge', North American Workshop on Instrumentation and Vibration Analysis of Highway Bridges, Cincinnati, Ohio
  22. Silva, J.M. and Gomes, A.J.M. (1990), 'Experimental dynamic analysis of cracked free-free beams', Experimental Machanics, 30, 20-25 https://doi.org/10.1007/BF02322697
  23. Stubbs, N. and Garcia, G (1996), 'Application of pattem recognition to damage localization', Microcomputers in Civil Engineering, 11, 395-409 https://doi.org/10.1111/j.1467-8667.1996.tb00352.x
  24. Tada, H. (1973), The Stress Analysis of Cracks Handbook, Del Research Corp., Hellerton, PA
  25. Toksoy, T. and Aktan, AE. (1995), 'Bridge-condition assessment by modal flexibility', North American Workshop on Instrumentation and Vibration Analysis of Highway Bridges, Cincinnati, Ohio
  26. Zhao, J. and DeWolf, J.T. (1999), 'Sensitivity study for vibrational parameters used in damage detection', J Struct. Eng., 125(4), 410-416 https://doi.org/10.1061/(ASCE)0733-9445(1999)125:4(410)
  27. Zhao, J. (1998), 'Nondestructive damage detection using structural dynamic properties', Thesis of Doctor of Philosophy, University of Connecticut
  28. Zhao, J, Ivan, J.N. and DeWolf, J.T. (1998), 'Structural damage detection using artificial neural networks', J of Infrastructure Systems, 4(3), 93-101 https://doi.org/10.1061/(ASCE)1076-0342(1998)4:3(93)

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