Smart Structures and Systems

  • 제22권3호
  • /
  • Pages.277-290
  • /
  • 2018
  • /
  • 1738-1584(pISSN)
  • /
  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Progressive damage detection of thin plate structures using wavelet finite element model updating

  • He, Wen-Yu (Department of Civil Engineering, Hefei University of Technology) ;
  • Zhu, Songye (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) ;
  • Ren, Wei-Xin (Department of Civil Engineering, Hefei University of Technology)
  • 투고 : 2018.02.06
  • 심사 : 2018.06.30
  • 발행 : 2018.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, wavelet finite element model (WFEM) updating technique is employed to detect sub-element damage in thin plate structures progressively. The procedure of WFEM-based detection method, which can detect sub-element damage gradually, is established. This method involves the optimization of an objective function that combines frequencies and modal assurance criteria (MAC). During the damage detection process, the scales of wavelet elements in the concerned regions are adaptively enhanced or reduced to remain compatible with the gradually identified damage scenarios, while the modal properties from the tests remains the same, i.e., no measurement point replacement or addition are needed. Numerical and experimental examples were conducted to examine the effectiveness of the proposed method. A scanning Doppler laser vibrometer system was employed to measure the plate mode shapes in the experimental study. The results indicate that the proposed method can detect structural damage with satisfactory accuracy by using minimal degrees-of-freedoms (DOFs) in the model and minimal updating parameters in optimization.

키워드

과제정보

연구 과제 주관 기관 : National Science Foundation of China, Hong Kong Polytechnic University

참고문헌

  1. Amaratunga, K. and Sudarshan, R. (2006), "Multi-resolution modeling with operator-customized wavelets derived from finite elements", Comput. Method. Appl. M., 195, 2509-2532. https://doi.org/10.1016/j.cma.2005.05.012
  2. Antonio, J.G.P. and Erin, S.B. (2014), "Structural model updating using dynamic data", J. Civil. Struct. Health Monit., 4(3), 177-194. https://doi.org/10.1007/s13349-014-0073-8
  3. Au, S.K., Zhang, F.L. and Ni, Y.C. (2013), "Bayesian operational modal analysis: theory, computation, practice", Comput. Struct., 126, 3-14. https://doi.org/10.1016/j.compstruc.2012.12.015
  4. Bayissa, W.L. and Haritos, N. (2007), "Damage identification in plate-like structures using bending moment response power spectral density", Struct. Health Monit., 6, 5-24. https://doi.org/10.1177/1475921707072059
  5. Becker, R. and Braack, M. (2000), "Multigrid techniques for finite elements on locally refined meshes", Numer. Linear. Algebr., 7, 363-379. https://doi.org/10.1002/1099-1506(200009)7:6<363::AID-NLA202>3.0.CO;2-V
  6. Beheshti-Aval, S.B., Taherinasab, M. and Noori, M. (2011), "Using harmonic class loading for damage identification of plates by wavelet transformation approach", Smart Struct. Syst., 8(3), 253-274. https://doi.org/10.12989/sss.2011.8.3.253
  7. Biboulet, N., Gravouil, A., Dureisseix, D., Lubrecht, A.A. and Combescure, A. (2014), "An efficient linear elastic FEM solver using automatic local grid refinement and accuracy control", Finite Elem. Anal. Des., 68, 23-38.
  8. Bogner, F.K., Fox, R.L. and Schmit, L.A. (1995), "The generation of interelement, compatible displacement stiffness and mass matrices by the use of interpolation formulae", Proc FCMMSM 1995, Air Force Flight Dynamics Laboratory, Wright Patterson Air Force Base.
  9. Cornwell, P., Doebling, S.W. and Farrar, C.R. (1999), "Application of the strain energy damage detection method to plate-like structures", J. Sound Vib., 224(2), 359-374. https://doi.org/10.1006/jsvi.1999.2163
  10. Diaz, L.A., Martin, M.T. and Vampa, V. (2009), "Daubechies wavelet beam and plate finite elements", Finite Elem. Anal. Des., 45(3), 200-209. https://doi.org/10.1016/j.finel.2008.09.006
  11. Fan, W. and Qiao, P.Z. (2011), "Vibration-based damage identification methods: a review and comparative study", Struct. Health Monit., 10(1), 83-111. https://doi.org/10.1177/1475921710365419
  12. Fan, W. and Qiao, P.Z. (2012), "A strain energy-based damage severity correction factor method for damage identification in plate-type structures", Mech. Syst. Signal Pr., 28, 660-678. https://doi.org/10.1016/j.ymssp.2011.11.010
  13. Fang, S.E., Perera, R. and Roeck, G.D. (2008), "Damage identification of a reinforced concrete frame by finite element model updating using damage parameterization", J. Sound Vib., 313, 544-559. https://doi.org/10.1016/j.jsv.2007.11.057
  14. Fu, Y.Z, Lu, Z.R. and Liu, J.K. (2013), "Damage identification in plates using finite element model updating in time domain", J. Sound Vib., 332, 7018-7032. https://doi.org/10.1016/j.jsv.2013.08.028
  15. Han, J.G., Ren, W.X. and Huang, Y. (2006), "A spline wavelet finite-element method in structural mechanics", Int. J. Numer. Meth. Eng., 66, 166-190. https://doi.org/10.1002/nme.1551
  16. He, W.Y. and Ren, W.X. (2012), "Finite element analysis of beam structures based on trigonometric wavelet", Finite Elem. Anal. Des., 51, 59-66. https://doi.org/10.1016/j.finel.2011.11.005
  17. He, W.Y. and Ren, W.X. (2013), "Trigonometric wavelet-based method for elastic thin plate analysis", Appl. Math. Model., 37, 1607-1617. https://doi.org/10.1016/j.apm.2012.04.030
  18. He, W.Y. and Zhu, S. (2013), "Progressive damage detection based on multi-scale wavelet finite element model: numerical study", Comput. Struct., 125, 177-186. https://doi.org/10.1016/j.compstruc.2013.05.001
  19. He, W.Y. and Zhu, S. (2014), "Adaptive-scale damage detection strategy for plate structures based on wavelet finite element model", Struct. Eng. Mech., 54(2), 239-256. https://doi.org/10.12989/SEM.2015.54.2.239
  20. He, W.Y., Zhu, S. and Ren, W.X. (2014), "A wavelet finite element-based adaptive-scale damage detection strategy", Smart Struct. Syst., 14(3), 285-305. https://doi.org/10.12989/sss.2014.14.3.285
  21. Hu, H. and Wu, C. (2009), "Development of scanning damage index for the damage detection of plate structures using modal strain energy method", Mech. Syst. Signal Pr., 23, 274-287. https://doi.org/10.1016/j.ymssp.2008.05.001
  22. Jaishi, B. and Ren, W.X. (2005), "Structural finite element model updating using ambient vibration test results", J. Eng. Mech.-ASCE, 131(4), 617-628. https://doi.org/10.1061/(ASCE)0733-9399(2005)131:6(617)
  23. Kazemi, S., Fooladi, A. and Rahai, A.R. (2010), "Implementation of the modal flexibility variation to fault identification in thin plates", Acta Astronaut, 66, 414-426. https://doi.org/10.1016/j.actaastro.2009.06.020
  24. Lee, U. and Shin, J. (2002), "A structural damage identification method for plate structures", Eng. Struct., 24, 1177-1188. https://doi.org/10.1016/S0141-0296(02)00051-2
  25. Li, B. and Chen, X.F. (2014), "Wavelet-based numerical analysis: a review and classification", Finite Elem. Anal. Des., 81, 14-31. https://doi.org/10.1016/j.finel.2013.11.001
  26. Quraishi, S.M. and Sandeep, K. (2013), "Multiscale modeling of beam and plates using customized second-generation wavelets", J. Eng. Math., 83, 185-202. https://doi.org/10.1007/s10665-012-9579-4
  27. Rucka, M. and Wilde, K. (2006), "Application of continuous wavelet transform in vibration based damage detection method for beams and plates", J. Sound Vib., 297, 536-550. https://doi.org/10.1016/j.jsv.2006.04.015
  28. Teughels, A., Maeck, J. and Roeck, G.D. (2002), "Damage assessment by FE model updating using damage functions", Comput. Struct., 80(25), 1869-1879. https://doi.org/10.1016/S0045-7949(02)00217-1
  29. Wang, Y.M. and Wu, Q. (2013), "Construction of operatororthogonal wavelet-based elements for adaptive analysis of thin plate bending problems", CMES-Comp Model. Eng., 93(1), 17-45.
  30. Wu, D. and Law, S.S. (2004), "Damage localization in plate structures from uniform load surface curvature", J. Sound Vib., 276, 227-244. https://doi.org/10.1016/j.jsv.2003.07.040
  31. Xiang, J.W., Chen, X.F., He, Z.J. and Zhang, Y.H. (2008), "A new wavelet-based thin plate element using B-spline wavelet on the interval", Comput. Mech., 41(2), 243-255. https://doi.org/10.1007/s00466-007-0182-x
  32. Yam, L.H., Li, Y.Y. and Wong, W.O. (2002), "Sensitivity studies of parameters for damage detection of plate-like structures using static and dynamic approaches", Eng. Struct., 24, 1465-1475. https://doi.org/10.1016/S0141-0296(02)00094-9
  33. Yan, Y.J., Cheng, L., Wu, Z.Y. and Yam, L.H. (2007), "Development in vibration-based structural damage detection technique", Mech. Syst. Signal Pr., 21, 2198-2211. https://doi.org/10.1016/j.ymssp.2006.10.002
  34. Zhu, S., He, W.Y. and Ren, W.X. (2013), "Adaptive-scale damage detection for frame structures using beam-type wavelet finite element: experimental validation", J. Earthq. Tsunami, 7(3), 1350024. https://doi.org/10.1142/S1793431113500243