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Model updating and damage detection in multi-story shear frames using Salp Swarm Algorithm

  • Ghannadi, Parsa (Department of Civil Engineering, Ahar Branch, Islamic Azad University) ;
  • Kourehli, Seyed Sina (Department of Civil Engineering, Ahar Branch, Islamic Azad University)
  • Received : 2019.02.27
  • Accepted : 2019.04.19
  • Published : 2019.07.25

Abstract

This paper studies damage detection as an optimization problem. A new objective function based on changes in natural frequencies, and Natural Frequency Vector Assurance Criterion (NFVAC) was developed. Due to their easy and fast acquisition, natural frequencies were utilized to detect structural damages. Moreover, they are sensitive to stiffness reduction. The method presented here consists of two stages. Firstly, Finite Element Model (FEM) is updated. Secondly, damage severities and locations are determined. To minimize the proposed objective function, a new bio-inspired optimization algorithm called salp swarm was employed. Efficiency of the method presented here is validated by three experimental examples. The first example relates to three-story shear frame with two single damage cases in the first story. The second relates to a five-story shear frame with single and multiple damage cases in the first and third stories. The last one relates to a large-scale eight-story shear frame with minor damage case in the first and third stories. Moreover, the performance of Salp Swarm Algorithm (SSA) was compared with Particle Swarm Optimization (PSO). The results show that better accuracy is obtained using SSA than using PSO. The obtained results clearly indicate that the proposed method can be used to determine accurately and efficiently both damage location and severity in multi-story shear frames.

Keywords

References

  1. Amezquita-Sanchez, J.P. and Adeli, H. (2016), "Signal processing techniques for vibration-based health monitoring of smart structures", Arch. Comput. Meth. Eng., 23(1), 1-15. https://doi.org/10.1007/s11831-014-9135-7.
  2. Chen, J., Chen, X. and Liu, W. (2014), "Complete inverse method using ant colony optimization algorithm for structural parameters and excitation identification from output only measurements", Math. Prob. Eng., 2014, Article ID 185487, 18. http://dx.doi.org/10.1155/2014/185487.
  3. Choubey, A., Sehgal, D.K. and Tandon, N. (2006), "Finite element analysis of vessels to study changes in natural frequencies due to cracks", Int. J. Press. Ves. Pip., 83(3), 181-187. https://doi.org/10.1016/j.ijpvp.2006.01.001.
  4. Dahak, M., Touat, N. and Benseddiq, N. (2017), "On the classification of normalized natural frequencies for damage detection in cantilever beam", J. Sound Vib., 402, 70-84. http://dx.doi.org/10.1016/j.jsv.2017.05.007.
  5. DeVore, C., Jiang, Z., Christenson, R.E., Stromquist-LeVoir, G. and Johnson, E.A. (2015), "Experimental verification of substructure identification for damage detection in shear buildings", J. Eng. Mech., 142(1), 04015060. http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0000929.
  6. Eberhart, R. and Kennedy, J. (1995), "A new optimizer using particle swarm theory", Proceedings of the Sixth International Symposium, Nagoya, Japan, October. doi: https://doi.org/10.1109/MHS.1995.494215.
  7. 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.
  8. Ghannadi, P. and Kourehli, S.S. (2018), "Investigation of the accuracy of different finite element model reduction techniques", Struct. Monit. Mainten., 5(3), 417-428. http://dx.doi.org/10.12989/smm.2018.5.3.417.
  9. Ghodrati Amiri, G., Hosseinzadeh, A.Z., Bagheri, A. and Koo, K.Y. (2013), "Damage prognosis by means of modal residual force and static deflections obtained by modal flexibility based on the diagonalization method", Smart Mater. Struct., 22(7), 075032. http://dx.doi.org/10.1088/0964-1726/22/7/075032.
  10. Hassiotis, S. (2000), "Identification of damage using natural frequencies and Markov parameters", Comput. Struct., 74(3), 365-373. https://doi.org/10.1016/S00457949(99)00034-6.
  11. He, W.Y., Zhu, S. and Ren, W.X. (2019), "Two-phase damage detection of beam structures under moving load using multiscale wavelet signal processing and wavelet finite element model", Appl. Math. Model., 66, 728-744. https://doi.org/10.1016/j.apm.2018.10.005.
  12. Hosseinzadeh, A.Z., Bagheri, A., Ghodrati Amiri, G. and Koo, K.Y. (2014), "A flexibility-based method via the iterated improved reduction system and the cuckoo optimization algorithm for damage quantification with limited sensors", Smart Mater. Struct., 23(4), 045019. http://dx.doi.org/10.1088/0964-1726/23/4/045019.
  13. Hosseinzadeh, A.Z., Ghodrati Amiri, G. and Koo, K.Y. (2016a), "Optimization-based method for structural damage localization and quantification by means of static displacements computed by flexibility matrix", Eng. Optim., 48(4), 543-561. http://dx.doi.org/10.1080/0305215X.2015.1017476.
  14. Hosseinzadeh, A.Z., Ghodrati Amiri, G., Razzaghi, S.S., Koo, K.Y. and Sung, S.H. (2016b), "Structural damage detection using sparse sensors installation by optimization procedure based on the modal flexibility matrix", J. Sound Vib., 381, 65-82. http://dx.doi.org/10.1016/j.jsv.2016.06.037.
  15. Humar, J., Bagchi, A. and Xu, H. (2006), "Performance of vibration-based techniques for the identification of structural damage", Struct. Hlth. Monit., 5(3), 215-241. https://doi.org/10.1177/1475921706067738.
  16. Kaveh, A. and Zolghadr, A. (2015), "An improved CSS for damage detection of truss structures using changes in natural frequencies and mode shapes", Adv. Eng. Softw., 80, 93-100. http://dx.doi.org/10.1016/j.advengsoft.2014.09.010.
  17. Khatir, S. and Wahab, M.A. (2019), "Fast simulations for solving fracture mechanics inverse problems using POD-RBF XIGA and Jaya algorithm", Eng. Fract. Mech., 205, 285-300. https://doi.org/10.1016/j.engfracmech.2018.09.032.
  18. Khatir, S., Brahim, B., Capozucca, R. and Wahab, M.A. (2018b), "Damage detection in CFRP composite beams based on vibration analysis using proper orthogonal decomposition method with radial basis functions and cuckoo search algorithm", Compos. Struct., 187, 344-353. https://doi.org/10.1016/j.compstruct.2017.12.058.
  19. Khatir, S., Dekemele, K., Loccufier, M., Khatir, T. and Wahab, M.A. (2018a), "Crack identification method in beam-like structures using changes in experimentally measured frequencies and Particle Swarm Optimization", Comptes Rendus Mecanique, 346(2), 110-120. https://doi.org/10.1016/j.crme.2017.11.008.
  20. Khatir, S., Wahab, M.A., Boutchicha, D. and Khatir, T. (2019), "Structural health monitoring using modal strain energy damage indicator coupled with teaching-learning-based optimization algorithm and isogoemetric analysis", J. Sound Vib., 448, 230-246. https://doi.org/10.1016/j.jsv.2019.02.017.
  21. Koo, K.Y., Sung, S.H. and Jung, H.J. (2011), "Damage quantification of shear buildings using deflections obtained by modal flexibility", Smart Mater. Struct., 20(4), 045010. http://dx.doi.org/10.1088/0964-1726/20/4/045010.
  22. Kourehli, S.S., Amiri, G.G., Ghafory-Ashtiany, M. and Bagheri, A. (2013), "Structural damage detection based on incomplete modal data using pattern search algorithm", J. Vib. Control, 19(6), 821-833. http://doi.org/10.1177/1077546312438428.
  23. Lin, C.C., Lin, G.L. and Hsieh, K.S. (2014), "Damage assessment of seismically excited buildings through incomplete measurements", J. Press. Ves. Technol., 136(6), 061801. http://doi.org/10.1115/1.4027326.
  24. Majumdar, A., Maiti, D.K. and Maity, D. (2012), "Damage assessment of truss structures from changes in natural frequencies using ant colony optimization", Appl. Math. Comput., 218(19), 9759-9772. https://doi.org/10.1016/j.amc.2012.03.031.
  25. Mirjalili, S., Gandomi, A.H., Mirjalili, S.Z., Saremi, S., Faris, H. and Mirjalili, S.M. (2017), "Salp Swarm Algorithm: A bioinspired optimizer for engineering design problems", Adv. Eng. Softw., 114, 163-191. http://dx.doi.org/10.1016/j.advengsoft.2017.07.002.
  26. Nobahari, M., Ghasemi, M.R. and Shabakhty, N. (2019), "A fast and robust method for damage detection of truss structures", Appl. Math. Model., 68, 368-382. https://doi.org/10.1016/j.apm.2018.11.025.
  27. Noori, M., Wang, H., Altabey, W. and Silik, A. (2018), "A modified wavelet energy rate-based damage identification method for steel bridges", Scientia Iranica., 25, 3210-3230. http://dx.doi.org/10.24200/sci.2018.20736
  28. Parrany, A.M. (2019), "Damage detection in circular cylindrical shells using active thermography and 2-D discrete wavelet analysis", Thin Wall. Struct., 136, 34-49. https://doi.org/10.1016/j.tws.2018.12.028.
  29. Patil, D.P. and Maiti, S.K. (2003), "Detection of multiple cracks using frequency measurements", Eng. Fract. Mech., 70(12), 1553-1572. https://doi.org/10.1016/S0013-7944(02)00121-2.
  30. Qarib, H. and Adeli, H. (2016), "A comparative study of signal processing methods for structural health monitoring", J. Vibroeng., 18(4), 2186-2204. http://dx.doi.org/10.21595/jve.2016.17218.
  31. Rahami, H., Amiri, G.G., Tehrani, H.A. and Akhavat, M. (2018), "Structural health monitoring for multi-story shear frames based on signal processing approach", Iran. J. Sci. Technol., Tran. Civil Eng., 42(3), 287-303. https://doi.org/10.1007/s40996-018-0096-1.
  32. Rasouli, A., Kourehli, S.S., Amiri, G.G. and Kheyroddin, A. (2015), "A two-stage method for structural damage prognosis in shear frames based on story displacement index and modal residual force", Adv. Civil Eng., 2015, Article ID 527537, 15. http://dx.doi.org/10.1155/2015/527537.
  33. Su, W.C., Huang, C.S., Lien, H.C. and Le, Q.T. (2017), "Identifying the stiffness parameters of a structure using a subspace approach and the Gram-Schmidt process in a wavelet domain", Adv. Mech. Eng., 9(7), 1687814017707649. https://doi.org/10.1177%2F1687814017707649.
  34. Sun, H. and Buyukozturk, O. (2016), "Probabilistic updating of building models using incomplete modal data", Mech. Syst. Signal Pr., 75, 27-40. https://doi.org/10.1016/j.ymssp.2015.12.024.
  35. Tiachacht, S., Bouazzouni, A., Khatir, S., Abdel Wahab, M., Behtani, A. and Capozucca, R. (2018), "Damage assessment in structures using combination of a modified Cornwell indicator and genetic algorithm", Eng. Struct., 177, 421-430. https://doi.org/10.1016/j.engstruct.2018.09.070.
  36. Tran-Ngoc, H., Khatir, S., De Roeck, G., Bui-Tien, T., Nguyen-Ngoc, L. and Abdel Wahab, M. (2018), "Model updating for Nam O Bridge using particle swarm optimization algorithm and genetic algorithm", Sensors, 18(12), 4131. http://dx.doi.org/10.3390/s18124131.
  37. Vakil-Baghmisheh, M.T., Peimani, M., Sadeghi, M.H. and Ettefagh, M.M. (2008), "Crack detection in beam-like structures using genetic algorithms", Appl. Soft Comput., 8(2), 1150-1160. https://doi.org/10.1016/j.asoc.2007.10.003.
  38. Wang, D., Xiang, W. and Zhu, H. (2014), "Damage identification in beam type structures based on statistical moment using a two step method", J. Sound Vib., 333(3), 745-760. http://dx.doi.org/10.1016/j.jsv.2013.10.007.
  39. Wang, D., Xiang, W., Zeng, P. and Zhu, H. (2015a), "Damage identification in shear-type structures using a proper orthogonal decomposition approach", Journal of Sound and Vibration., 355, 135-149. https://doi.org/10.1016/j.jsv.2015.06.043.
  40. Wang, D., Xiang, W., Zeng, P. and Zhu, H. (2015b), "Damage identification in shear-type structures using a proper orthogonal decomposition approach", J. Sound Vib., 355, 135-149. http://dx.doi.org/10.1016/j.jsv.2015.06.043.
  41. Wang, D., Zhou, P., Jin, T. and Zhu, H. (2018), "Damage identification for beam structures using the laplace transformbased spectral element method and strain statistical moment", J. Aerosp. Eng., 31(3), 04018016. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000838.
  42. Wang, X., Hu, N., Fukunaga, H. and Yao, Z.H. (2001), "Structural damage identification using static test data and changes in frequencies", Eng. Struct., 23(6), 610-621. https://doi.org/10.1016/S0141-0296(00)00086-9.
  43. Xiang, W., Wang, D. and Zhu, H. (2014), "Damage identification in a plate structure based on strain statistical moment", Adv. Struct. Eng., 17(11), 1639-1655. https://doi.org/10.1260/1369-4332.17.11.1639.
  44. Xu, G.Y., Zhu, W.D. and Emory, B.H. (2007), "Experimental and numerical investigation of structural damage detection using changes in natural frequencies", J. Vib. Acoust., 129(6), 686-700. http://doi.org/10.1115/1.2731409.
  45. Xu, Y.L., Zhang, J., Li, J.C. and Xia, Y. (2009), "Experimental investigation on statistical moment-based structural damage detection method", Struct. Hlth. Monit., 8(6), 555-571. https://doi.org/10.1177/1475921709341011.
  46. Yang, Y., Li, J.L., Zhou, C.H., Law, S.S. and Lv, L. (2019), "Damage detection of structures with parametric uncertainties based on fusion of statistical moments", J. Sound Vib., 442, 200-219. https://doi.org/10.1016/j.jsv.2018.10.005.
  47. Yang, Z. and Wang, L. (2010), "Structural damage detection by changes in natural frequencies", J. Intel. Mater. Syst. Struct., 21(3), 309-319. https://doi.org/10.1177/1045389X09350332.
  48. Yin, T., Jiang, Q.H. and Yuen, K.V. (2017), "Vibration-based damage detection for structural connections using incomplete modal data by Bayesian approach and model reduction technique", Eng. Struct., 132, 260-277. http://dx.doi.org/10.1016/j.engstruct.2016.11.035.
  49. Zare Hosseinzadeh, A., Ghodrati Amiri, G. and Seyed Razzaghi, S.A. (2017), "Model-based identification of damage from sparse sensor measurements using Neumann series expansion", Invers. Prob. Sci. Eng., 25(2), 239-259. https://doi.org/10.1080/17415977.2016.1160393.
  50. Zenzen, R., Belaidi, I., Khatir, S. and Wahab, M.A. (2018). "A damage identification technique for beam-like and truss structures based on FRF and Bat Algorithm", Comptes Rendus Mecanique., 346(12), 1253-1266. https://doi.org/10.1016/j.crme.2018.09.003.
  51. Zhu, J.J., Huang, M. and Lu, Z.R. (2017), "Bird mating optimizer for structural damage detection using a hybrid objective function", Swarm Evol. Comput., 35, 41-52. http://dx.doi.org/10.1016/j.swevo.2017.02.006.
  52. Zhu, L.F., Ke, L.L., Zhu, X.Q., Xiang, Y. and Wang, Y.S. (2019), "Crack identification of functionally graded beams using continuous wavelet transform", Compos. Struct., 210, 473-485. https://doi.org/10.1016/j.compstruct.2018.11.042.

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