Structural Engineering and Mechanics

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Structural damage detection using a damage probability index based on frequency response function and strain energy concept

  • Received : 2017.06.02
  • Accepted : 2018.06.10
  • Published : 2018.08.25
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Abstract

In this study, an efficient damage index is proposed to identify multiple damage cases in structural systems using the concepts of frequency response function (FRF) matrix and strain energy of a structure. The index is defined based on the change of strain energy of an element due to damage. For obtaining the strain energy stored in elements, the columnar coefficients of the FRF matrix is used. The new indicator is named here as frequency response function strain energy based index (FRFSEBI). In order to assess the performance of the proposed index for structural damage detection, some benchmark structures having a number of damage scenarios are considered. Numerical results demonstrate that the proposed index even with considering noise can accurately identify the actual location and approximate severity of the damage. In order to demonstrate the high efficiency of the proposed damage index, its performance is also compared with that of the flexibility strain energy based index (FSEBI) provided in the literature.

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References

  1. Barroso, L.R. and Rodriguez, R. (2004), "Damage detection utilizing the damage index method to a benchmark structure", J. Eng. Mech., 130(2), 142-151. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:2(142)
  2. Begambre, O. and Laier, J.E. (2009), "A hybrid particle swarm optimization-simplex algorithm for structural damage identification", Adv. Eng. Softw., 40(9), 883-891. https://doi.org/10.1016/j.advengsoft.2009.01.004
  3. Chopra, A. (2001), Dynamics of Structures, Prentice-Hall, New Jersey, USA.
  4. Craig, R.R. (1981), Structural Dynamics: An Introduction to Computers Method, John Wiley & Sons, New York, USA.
  5. Esfandiari, A., Bakhtiari-Nejad, F. and Rahai, A. (2013), "Theoretical and experimental structural damage diagnosis method using natural frequencies through an improved sensitivity equation", Int. J Mech. Sci., 70, 79-89. https://doi.org/10.1016/j.ijmecsci.2013.02.006
  6. Fayyadh, M.M., Razak, H.A. and Ismail, Z. (2011), "Combined modal parameters-based index for damage identification in a beamlike structure: theoretical development and verification", Arch. Civil Mech. Eng., 11(3), 587-609. https://doi.org/10.1016/S1644-9665(12)60103-4
  7. Golizadeh, S. and Barzegar A. (2013), "Shape optimization of structures for frequency constraints by sequential harmony search algorithm", Eng. Optim., 45(6), 627-646. https://doi.org/10.1080/0305215X.2012.704028
  8. Golizadeh, S., Salajegheh, E. and Torkzadeh, P. (2008), "Structural optimization with frequency constraints by genetic algorithm using wavelet radial basis function neural network", J. Sound Vib., 312(1-2), 316-331. https://doi.org/10.1016/j.jsv.2007.10.050
  9. Montazer, M. and Seyedpoor, S.M. (2014), "A new flexibility based damage index for damage detection of truss systems", Shock Vib., 2014, Article ID 460692, 12.
  10. Nobahari, M. and Seyedpoor, S.M. (2013), "An efficient method for structural damage localization based on the concepts of flexibility matrix and strain energy of a structure", Struct. Eng. Mech., 46(2), 231-244. https://doi.org/10.12989/sem.2013.46.2.231
  11. Seyedpoor, S.M. (2012), "A two stage method for structural damage detection using a modal strain energy based index and particle swarm optimization", Int. J. Nonlin. Mech., 47(1), 1-8.
  12. Seyedpoor, S.M. and Montazer, M. (20 16), "A damage identification method for truss structures using a flexibility based damage probability index and differential evolution algorithm", Inver. Prob. Sci. Eng., 24(8), 1303-1322. https://doi.org/10.1080/17415977.2015.1101761
  13. Seyedpoor, S.M. and Yazdanpanah, O. (2014), "An efficient indicator for structural damage localization using the change of strain energy based on static noisy data", Appl. Math. Model., 38(9-10), 2661-2672. https://doi.org/10.1016/j.apm.2013.10.072
  14. Sharifi, A. and Banan M.R. (2008), "Energy index method: technique for identification of structural damages", J. Struct. Eng., 134(6), 1061-1064. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:6(1061)
  15. 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
  16. Villalba, J.D. and Laier J.E. (2012), "Localising and quantifying damage by means of a multi-chromosome genetic algorithm", Adv. Eng. Softw., 50, 150-157. https://doi.org/10.1016/j.advengsoft.2012.02.002
  17. Zare Hosseinzadeh, A., Ghodrati Amiri, G. and Seyed Razzaghi, S.A. (2016), "A new damage index for structural damage identification by means of wavelet residual force", Int. J. Optim. Civil Eng., 6(2), 269-286.
  18. Zhang, J., Li, P.J. and Wu, Z.S. (2013), "A new flexibility-based damage index for structural damage detection", Smart Mater. Struct., 22, 25-37.
  19. Zhang, M. and Schmidt, R. (2015), "Study on an auto-correlation-function-based damage index: Sensitivity analysis and structural damage detection", J. Sound Vib., 359, 195-214. https://doi.org/10.1016/j.jsv.2015.09.004