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Damage Evaluation of a Structure Using Continuous Wavelet Transform

연속웨이블렛 변환을 이용한 구조물의 손상도 평가

  • Received : 2008.03.05
  • Accepted : 2008.08.20
  • Published : 2008.11.30

Abstract

The damage evaluation method for framed structures using continuous wavelet transform (CWT) is proposed. CWT is applied to the response acceleration of a structure subjected to earthquake load to decompose the response acceleration corresponding to each scale, then the normalized energy value for each scale is calculated. The difference between the normalized energy curvature (NEC) in each node before and after damage indicates a damaged element, which makes it possible to assess the soundness of structural elements. As damage becomes more severe the difference in normalized energy curvature becomes larger. The NEC calculated from the signal corresponding to high scale in CWT analysis is found to be a good index that shows the location and severity of damage.

본 논문에서는 연속웨이블렛 변환(Continuous Wavelet Transform; CWT)을 이용하여 구조물의 손상도를 평가 하였다. 지진하중을 받은 프레임 구조물의 응답 가속도를 CWT를 이용하여 분해한 후 각각의 스케일에 관해서 손상전과 손상후의 정규화된 에너지 곡률(Normalized Energy Curvature; NEC)을 계산하였다. 손상전과 손상후의 NEC 값은 손상된 부재에서 크게 변화 하여 손상된 부재를 쉽게 나타내었고 또한 손상도가 심할 수 록 그 값의 차이가 컸다. 이 논문에서는 CWT로부터 계산된 NEC값이 구조물의 손상위치와 손상도를 평가하는 효과적인 지표임을 나타내었다.

Keywords

References

  1. 김한상, '웨이블렛펙킷 변환을 이용한 프레임 구조물의 건전성 평가', 한국구조물진단학회지, 제11권, 3호, 2007, pp. 159-166
  2. Rytter, A., 'Vibration based inspection of civil engineering structures', Ph.D. Dissertation. Aalborg University, Denmark, 1993
  3. Al-Khalidy, A., Noori, M., Hou, Z., Yamamoto, S., Masuda, A., and Sone, A., 'Health monitoring systems of linear structures using wavelet analysis', International Workshop on Structural Health Monitoring. 1997, pp. 164-175
  4. Al-Khalidy, A., Noori, M., Hou, Z., Carmona, R., Yamamoto, S., Masuda, A., and Sone, A., 'A study of health monitoring systems of linear structures using wavelet analysis', ASME PVP 347, 1997, pp. 49-58
  5. Kitada, Y., 'Identification of nonlinear structural dynamic systems using wavelets', Journal of Engrg.Mech., Vol. 124, No. 10, 1998, pp. 1059-1066 https://doi.org/10.1061/(ASCE)0733-9399(1998)124:10(1059)
  6. Hou, Z., Noori, M., and Amand, R.S., 'Wavelet-based approach for structural damage detection', J. Engrg. Mech., Vol. 126, No. 7, 2000, pp. 677-683 https://doi.org/10.1061/(ASCE)0733-9399(2000)126:7(677)
  7. Sun Z, and Chang C C, 'Structural Damage Assessment Based on Wavelet Packet Transform', Journal of Structural Enginee-ring, ASCE, Vol. 128, No 10, 2002, pp. 1354-1361 https://doi.org/10.1061/(ASCE)0733-9445(2002)128:10(1354)
  8. Doebling, S. W. Farrar, C. R., Prime, M. B., and Shevitz, D. W., 'Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review', Rep. LA-13070-MS, UC-900, Los Alamos National Laboratory, NM, 1999
  9. Kim H, and Melhem H, 'Damage detection of structures by wavelet analysis', Engineering Structures, Vol. 26, No. 3, 2004, pp. 347-362 https://doi.org/10.1016/j.engstruct.2003.10.008