Smart Structures and Systems

  • 제8권3호
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  • Pages.253-274
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  • 2011
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  • 1738-1584(pISSN)
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  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
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DOI QR Code

Using harmonic class loading for damage identification of plates by wavelet transformation approach

  • Beheshti-Aval, S.B. (Faculty of Civil Engineering, Earthquake Department, K.N.Toosi University of Technology) ;
  • Taherinasab, M. (Faculty of Civil Engineering, Earthquake Department, K.N.Toosi University of Technology) ;
  • Noori, M. (College of Engineering, California Polytechnic State University)
  • 투고 : 2010.05.30
  • 심사 : 2011.06.21
  • 발행 : 2011.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, the harmonic displacement response of a damaged square plate with all-over part-through damage parallel to one edge is utilized as the input signal function in wavelet analysis. The method requires the properties of the damaged plate, i.e., no information about the original undamaged structure is required. The location of damage is identified by sudden changes in the spatial variation of transformed response. The incurred damage causes a change in the stiffness or mass of the plate. This causes a localized singularity which can be identified by a wavelet analysis of the displacement response. In this study via numerical examples shown by using harmonic response is more versatile and effective compared with the static deflection response, specially in the presence of noise. In the light of the obtained results, suggestions for future work are presented and discussed.

키워드

참고문헌

  1. Chang, C. and Chen, L. (2003), "Vibration damage detection of a Timoshenko beam by spatial wavelet based approach", Appl. Acoust., 64(12), 1217-1240. https://doi.org/10.1016/S0003-682X(03)00070-7
  2. Daubechies, I. (1992), Ten Lectures on Wavelets, CBMS-NSF Conference Series, 61. Philadelphia, PA: SIAM.
  3. Deng, X. and Wang, Q. (1998), "Crack detection using spatial measurements and wavelet", Int. J. Fracture, 91, 23-28. https://doi.org/10.1023/A:1007431802050
  4. Douka, E., Loutridis, S. and Trochidis, A. (2003), "Crack identification in beams using wavelet analysis", Int. J. Solids Struct., 40(13-14), 3557-3569. https://doi.org/10.1016/S0020-7683(03)00147-1
  5. Fan, W. and Qiao, Q. (2009), "A 2-D continuous wavelet transform of mode shape data for damage detection of plate structures", Int. J. Solids Struct., 46(25-26), 4379-4395. https://doi.org/10.1016/j.ijsolstr.2009.08.022
  6. Gentile, A. and Messina, A. (2003), "On the continuous wavelet transforms applied to discrete vibrational data for detecting open cracks in damaged beams", Int. J. Solids Struct., 40(2), 295-315. https://doi.org/10.1016/S0020-7683(02)00548-6
  7. Hou, Z. and Noori, M. (1999), "Application of wavelet analysis for structural health monitoring", Proceedings of the 2nd Int. Workshop on Structural Health Monitoring, Stanford, CA: Stanford University.
  8. Hou, Z., Noori, M. and Amand, S. (2000), "Wavelet based approach for structural damage detection", J. Eng. Mech-ASCE., 126(7), 677-683. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:7(677)
  9. Hansang, K. and Melhem, H. (2004), "Damage detection of structures by wavelet analysis", Eng. Struct., 26(3), 347-362. https://doi.org/10.1016/j.engstruct.2003.10.008
  10. Huang, Y., Meyer, D. and Nemat-Nasser, S. (2009), "Damage detection with spatially distributed 2D Continuous Wavelet Transform", Mech. Mater., 41, 1096-1107. https://doi.org/10.1016/j.mechmat.2009.05.006
  11. Khadem, S.E. and Rezaee, M. (2000), "An analytical approach for obtaining the location and depth of an allover part-through crack on externally in-plane loaded rectangular plate using vibration analysis", J. Sound Vib., 230(2), 291-308. https://doi.org/10.1006/jsvi.1999.2619
  12. Khatam, H., Golafshani, A.A, Beheshti-Aval S.B. and Noori, M. (2007), "Harmonic class loading for damage identification in beams using wavelet analysis", Struct. Health Monit., 6(1), 67-80. https://doi.org/10.1177/1475921707072064
  13. Lee, H.P. (1992), "Fundamental frequencies of annular plates with internal cracks", Comput. Struct., 43, 1085-1089. https://doi.org/10.1016/0045-7949(92)90009-O
  14. Lee, H.P. and Lim, S.P. (1993), "Vibration of cracked rectangular plates including transverse shear deformation and rotary inertia", Comput. Struct., 49(4), 715-718.
  15. Mallat, S.G. (1999), A wavelet tour of signal processing, 2nd ed. London, Academic Press.
  16. Quek, S., Wang, Q., Zhang, L. and Ang, K. (2001), "Sensitivity analysis of crack detection in beams by the wavelet technique", Int. J. Mech. Sci., 43(12), 2899-2910. https://doi.org/10.1016/S0020-7403(01)00064-9
  17. Ovanesova, A.V. and Suarez, L.E. (2004), "Applications of wavelet transforms to damage detection in frame structures", Eng. Struct., 26(1), 39-49. https://doi.org/10.1016/j.engstruct.2003.08.009
  18. Schulz, M.J., Ghoshal, A., Sundaresan, M.J., Pai, P.F. and Chung, J.H. (2003), "Theory of damage detection using constrained vibration deflection shapes", Struct. Health Monit, 2(1), 75-99. https://doi.org/10.1177/147592103031114
  19. Wang, Q. and Deng, X. (1999), "Damage detection with spatial wavelets", Int. J. Solids Struct., 36(23), 3443-3468. https://doi.org/10.1016/S0020-7683(98)00152-8
  20. Wu, N. and Wang, Q. (2011), "Experimental studies on damage detection of beam structures with wavelet transform", Int. J. Eng. Sci., 49, 253-261. https://doi.org/10.1016/j.ijengsci.2010.12.004
  21. Zhong, S. and Oyadiji, S.O. (2011), "Detection of cracks in simply-supported beams by continuous wavelet transform of reconstructed modal data", Comput. Struct., 89(1-2), 127-148. https://doi.org/10.1016/j.compstruc.2010.08.008

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