Smart Structures and Systems

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Baseline-free damage detection method for beam structures based on an actual influence line

  • Wang, Ning-Bo (School of Civil Engineering, Central South University) ;
  • Ren, Wei-Xin (Department of Civil Engineering, Hefei University of Technology) ;
  • Huang, Tian-Li (School of Civil Engineering, Central South University)
  • Received : 2019.03.19
  • Accepted : 2019.06.10
  • Published : 2019.10.25
⟨ Previous Next ⟩

Abstract

The detection of structural damage without a priori information on the healthy state is challenging. In order to address the issue, the study presents a baseline-free approach to detect damage in beam structures based on an actual influence line. In particular, a multi-segment function-fitting calculation is developed to extract the actual deflection influence line (DIL) of a damaged beam from bridge responses due to a passing vehicle. An intact basis function based on the measurement position is introduced. The damage index is defined as the difference between the actual DIL and a constructed function related to the intact basis, and the damage location is indicated based on the local peak value of the damage index curve. The damage basis function is formulated by using the detected damage location. Based on the intact and damage basis functions, damage severity is quantified by fitting the actual DIL using the least-square calculation. Both numerical and experimental examples are provided to investigate the feasibility of the proposed method. The results indicate that the present baseline-free approach is effective in detecting the damage of beam structures.

Keywords

Acknowledgement

Supported by : National Science Foundation of China

References

  1. Alvandi, A. and Cremona, C. (2006), "Assessment of vibrationbased damage identification techniques", J. Sound Vib., 292(1-2), 179-202. https://doi.org/10.1016/j.jsv.2005.07.036.
  2. Chatterjee, P., O'Brien, E.J., Li Y. and Gonzalez, A. (2006), "Wavelet domain analysis for identification of vehicle axles from bridge measurements", Comput. Struct., 84(28), 1792-1801. https://doi.org/10.1016/j.compstruc.2006.04.013.
  3. Chen, H.P. (2008), "Application of regularization methods to damage detection in large scale plane frame structures using incomplete noisy modal data", Eng. Struct., 30(11), 3219-3227. ttps://doi.org/10.1016/j.engstruct.2008.04.038.
  4. Cao, M., Radzienski, M., Xu, W. and Ostachowicz, W. (2014), "Identification of multiple damage in beams based on robust curvature mode shapes", Mech. Syst. Signal Pr., 46(2), 468-480. https://doi.org/10.1016/j.ymssp.2014.01.004.
  5. Chen, Z.W., Zhu, S.Y., Xu, Y.L., et al. (2015), "Damage detection in long suspension bridge using stress influence lines", J. Bridge Eng., 20(3), 05014013 1-13. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000681.
  6. Fang, S.E. and Perera, R. (2009), "Power mode shapes for early damage detection in linear structures", J. Sound Vib., 324(1-2), 40-56. https://doi.org/10.1016/j.jsv.2009.02.002.
  7. Gonzalez, A. and Hester, D. (2013), "An investigation into the acceleration response of a damaged beam-type structure to a moving force", J. Sound Vib., 332(13), 3201-3217. https://doi.org/10.1016/j.jsv.2013.01.024.
  8. Hester, D. and Gonzalez, A. (2012), "A wavelet-based damage detection algorithm based on bridge acceleration response to a vehicle", Mech. Syst. Signal Pr., 28(2), 145-166. https://doi.org/10.1016/j.ymssp.2011.06.007.
  9. He, W.Y., Ren, W.X. and Zhu, S. (2017a), "Damage detection of beam structures using quasi-static moving load induced displacement response", Eng. Struct., 145(15), 70-82. https://doi.org/10.1016/j.engstruct.2017.05.009.
  10. He, W.Y., Ren, W.X. and Zhu, S. (2017b), "Baseline-free damage localization method for statically determinate beam structures using dual-type response induced by quasi-static moving load", J. Sound Vib., 400(21), 58-70. https://doi.org/10.1016/j.jsv.2017.03.049.
  11. Jaishi, B. and Ren, W.X. (2006), "Damage detection by finite element model updating using modal flexibility residual", J. Sound Vib., 290(1-2), 369-387. https://doi.org/10.1016/j.jsv.2005.04.006.
  12. Li, J. and Hao, H. (2015), "Damage detection of shear connectors under moving loads with relative displacement measurements", Mech. Syst. Signal Pr., 60-61, 124-150. https://doi.org/10.1016/j.ymssp.2014.09.014.
  13. Ren W. X., Roeck G. D. (2002a), "Structural damage identification using modal data. I: simulation verification", J. Struct. Eng., 128(1), 87-95. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:1(87).
  14. Ren, W.X. and Roeck, G.D. (2002b), "Structural damage identification using modal data. II: test verification", J. Struct. Eng., 128(1), 96-104. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:1(96).
  15. Roveri, N. and Carcaterra, A. (2012), "Damage detection in structures under traveling loads by Hilbert-Huang transform", Mech. Syst. Signal Pr., 28(2), 128-144. https://doi.org/10.1016/j.ymssp.2011.06.018.
  16. Sayers, M.W. and Karamihas, S.M. (1996), "Interpretation of road roughness profile data-final report", University of Michigan Transportation Research Institute (UMTRI) Report, 96-19.
  17. Tomaszewska, A. (2010), "Influence of statistical errors on damage detection based on structural flexibility and mode shape curvature", Comput. Struct., 88(3-4), 154-164. https://doi.org/10.1016/j.compstruc.2009.08.017.
  18. Wang, Y., Liang, M. and Xiang, J. (2014), "Damage detection method for wind turbine blades based on dynamics analysis and mode shape difference curvature information", Mech. Syst. Signal Pr., 48(1-2), 351-367. https://doi.org/10.1016/j.ymssp.2014.03.006.
  19. Wang, N.B., He, L.X., Ren, W.X. and Huang, T.L. (2017a), "Extraction of influence line through a fitting method from bridge dynamic response induced by a passing vehicle", Eng. Struct., 151: 648-664. https://doi.org/10.1016/j.engstruct.2017.06.067.
  20. Wang, N.B., Ren, W.X. and Chen, Z.W. (2017b), "Wavelet-based automatic identification method of axle distribution information", Struct. Eng.Mech., 63(6), 761-769. https://doi.org/10.12989/sem.2017.63.6.761.
  21. Xu, W., Cao, M., Ostachowicz, W., et al. ( 2015), "Twodimensional curvature mode shape method based on wavelets and Teager energy for damage detection in plates", J. Sound Vib., 347, 266-278. https://doi.org/10.1016/j.jsv.2015.02.038.
  22. Yoon, M.K., Heider, D., Jr J.W.G., et al. (2005), "Local damage detection using the two-dimensional gapped smoothing method", J. Sound Vib., 279(1-2), 119-139. https://doi.org/10.1016/j.jsv.2003.10.058.
  23. Yan, Y.J., Cheng, L., Wu, Z.Y., et al. (2007), "Development in vibration-based structural damage detection technique", Mech. Syst. Signal Pr., 21(5), 2198-2211. https://doi.org/10.1016/j.ymssp.2006.10.002.
  24. Yoon, M.K., Heider, D., Jr J.W.G., et al. (2009), "Local damage detection with the global fitting method using mode shape data in notched beams", J. Nondestruct. Eval., 28(2), 63-74. https://doi.org/10.1007/s10921-009-0048-6
  25. Yan, W.J., Ren, W.X. and Huang, T.L. (2012), "Statistic structural damage detection based on the closed-form of element modal strain energy sensitivity", Mech. Syst. Signal Pr., 28(2), 183-194. https://doi.org/10.1016/j.ymssp.2011.04.011.
  26. Zhu, X.Q. and Law, S.S. (2003), "Identification of moving interaction forces with incomplete velocity information", Mech. Syst. Signal Pr., 17 (6), 1349-1366. https://doi.org/10.1006/mssp.2002.1577.
  27. Zhu, X.Q. and Law, S.S. (2006), "Wavelet-based crack identification of bridge beam from operational deflection time history", Int. J. Solids Struct., 43(7-8), 2299-2317. https://doi.org/10.1016/j.ijsolstr.2005.07.024.
  28. Zhang, Y., Wang, L. and Xiang, Z. (2012), "Damage detection by mode shape squares extracted from a passing vehicle", J. Sound Vib., 331(2), 291-307. https://doi.org/10.1016/j.jsv.2011.09.004.
  29. Zhang, Y., Seng, T.L. and Xiang, Z. (2013), "Damage detection method based on operating deflection shape curvature extracted from dynamic response of a passing vehicle", Mech. Syst. Signal Pr., 35(1-2), 238-254. https://doi.org/10.1016/j.ymssp.2012.10.002.
  30. Zhang, W., Li, J., Hao, H., et al. (2017), "Damage detection in bridge structures under moving loads with phase trajectory change of multi-type vibration measurements", Mech. Syst. Signal Pr., 87, 410-425. https://doi.org/10.1016/j.ymssp.2016.10.035.