Smart Structures and Systems

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Structural damage identification of truss structures using self-controlled multi-stage particle swarm optimization

  • Das, Subhajit (Department of Civil Engineering, Indian Institute of Technology) ;
  • Dhang, Nirjhar (Department of Civil Engineering, Indian Institute of Technology)
  • Received : 2019.03.16
  • Accepted : 2019.12.05
  • Published : 2020.03.25
⟨ Previous Next ⟩

Abstract

The present work proposes a self-controlled multi-stage optimization method for damage identification of structures utilizing standard particle swarm optimization (PSO) algorithm. Damage identification problem is formulated as an inverse optimization problem where damage severity in each element of the structure is considered as optimization variables. An efficient objective function is formed using the first few frequencies and mode shapes of the structure. This objective function is minimized by a self-controlled multi-stage strategy to identify and quantify the damage extent of the structural members. In the first stage, standard PSO is utilized to get an initial solution to the problem. Subsequently, the algorithm identifies the most damage-prone elements of the structure using an adaptable threshold value of damage severity. These identified elements are included in the search space of the standard PSO at the next stage. Thus, the algorithm reduces the dimension of the search space and subsequently increases the accuracy of damage prediction with a considerable reduction in computational cost. The efficiency of the proposed method is investigated and compared with available results through three numerical examples considering both with and without noise. The obtained results demonstrate the accuracy of the present method can accurately estimate the location and severity of multi-damage cases in the structural systems with less computational cost.

Keywords

References

  1. Au, F.T.K., Cheng, Y.S., Tham, L.G. and Bai, Z.Z. (2003), "Structural damage detection based on a micro-genetic algorithm using incomplete and noisy modal test data", J. Sound Vib., 259(5), 1081-1094. https://doi.org/10.1006/jsvi.2002.5116
  2. Baghmisheh, M.V., Peimani, M., Sadeghi, M.H., Ettefagh, M.M. and Tabrizi, A.F. (2012), "A hybrid particle swarm-Nelder-Mead optimization method for crack detection in cantilever beams", Appl. Soft Comput. J., 12(8), 2217-2226. https://doi.org/10.1016/j.asoc.2012.03.030
  3. Cawley, P. and Adams, R.D. (1979), "The location of defects in structures from measurements of natural frequencies", J. Strain Anal. Eng. Des., 14(2), 49-57. https://doi.org/10.1243/03093247V142049
  4. Chen, Z.P. and Yu, L. (2017), "A novel PSO-based algorithm for structural damage detection using Bayesian multi-sample objective function", Struct. Eng. Mech., Int. J., 63(6), 825-835. https://doi.org/10.12989/sem.2017.63.6.825
  5. Ding, Z.H., Huang, M. and Lu, Z.R. (2015), "Structural damage detection using artificial bee colony algorithm with hybrid search strategy", Swarm Evolut. Computat., 28, 1-13. https://doi.org/10.1016/j.swevo.2015.10.010
  6. Dinh-Cong, D., Vo-Duy, T., Ho-Huu, V., Dang-Trung, H. and Nguyen-Thoi, T. (2017), "An efficient multi-stage optimization approach for damage detection in plate structures", Adv. Eng. Software. Elsevier Ltd, 112(112), 76-87. https://doi.org/10.1016/j.advengsoft.2017.06.015
  7. Dinh-Cong, D., Dang-Trung, H. and Nguyen-Thoi, T. (2018a), "An efficient approach for optimal sensor placement and damage identification in laminated composite structures", Adv. Eng. Software. 119, 48-59. https://doi.org/10.1016/j.advengsoft.2018.02.005
  8. Dinh-Cong, D., Vo-Duy, T. and Nguyen-Thoi, T. (2018b), "Damage assessment in truss structures with limited sensors using a two-stage method and model reduction", Appl. Soft Comput., 66, 264-277. https://doi.org/10.1016/j.asoc.2018.02.028
  9. Fadel, M.L., Lopez, R.H. and Miguel, F.L.F. (2013), "A hybrid approach for damage detection of structures under operational conditions", J. Sound Vib., 332(18), 4241-4260. https://doi.org/10.1016/j.jsv.2013.03.017
  10. Fallahian, S. and Seyedpoor, S.M. (2010), "A two stage method for structural damage identification using an adaptive neurofuzzy inference system and particle swarm optimization", Asian J. Civil Eng. (Building and Housing), 11(6), 795-808.
  11. Friswell, M.I., Penny, J.E.T. and Garvey, S.D. (1998), "A combined genetic and eigensensitivity algorithm for the location of damage in structures", Comput. Struct., 69(5), 547-556. https://doi.org/10.1016/S0045-7949(98)00125-4
  12. Ghannadi, P. and Kourehli, S.S. (2019), "Structural damage detection based on MAC flexibility and frequency using moth - flame algorithm", Struct. Eng. Mech., Int. J., 70(6), 649-659. https://doi.org/10.12989/sem.2019.70.6.649
  13. Guo, H.Y. and Li, Z.L. (2009), "A two-stage method to identify structural damage sites and extents by using evidence theory and micro-search genetic algorithm", Mech. Syst. Signal Process., 23(3), 769-782. https://doi.org/10.1016/j.ymssp.2008.07.008
  14. Guo, H.Y., Zhang, L. and Zhou, J.X. (2004), "Optimal placement of sensors for structural health monitoring using", Smart Mater. Struct., 13, 528-534. https://doi.org/10.1088/0964-1726/13/3/011
  15. Harrison, C. and Butler, R. (2001), "Locating delaminations in composite beams using gradient techniques and a genetic algorithm", AIAA Journal, 39(7), 1383-1389. https://doi.org/10.2514/2.1457
  16. He, R.S. and Hwang, S.F. (2007), "Damage detection by a hybrid real-parameter genetic algorithm under the assistance of grey relation analysis", Eng. Applicat. Artific. Intel., 20(7), 980-992. https://doi.org/10.1016/j.engappai.2006.11.020
  17. Hosseinzadeh, A.Z., Bagheri, A. and Amiri, G.G. (2013), "Twostage method for damage localization and quantification in highrise shear frames based on the first mode shape slope", Int. J. Optim. Civil Eng., 3(4), 653-672.
  18. Hosseinzadeh, A.Z., Bagheri, A., Amiri, G.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. https://doi.org/10.1088/0964-1726/23/4/045019
  19. Huang, J.L. and Lu, Z.R. (2017), "BB-BC optimization algorithm for structural damage detection using measured acceleration responses", Struct. Eng. Mech., Int. J., 64(3), 353-360. https://doi.org/10.12989/sem.2017.64.3.353
  20. Kaveh, A. and Dadras, A. (2018), "Structural damage identification using an enhanced thermal exchange optimization algorithm", Eng. Optimiz., 50(3), 430-451. https://doi.org/10.1080/0305215X.2017.1318872
  21. Kaveh, A. and Mahdavi, V.R. (2016), "Damage identification of truss structures using CBO and ECBO algorithms", Asian J. Civil Eng., 17(1), 75-89.
  22. Kaveh, A. and Maniat, M. (2014), "Structural Engineering Damage detection in skeletal structures based on charged system search optimization using incomplete modal data", Int. J. Civil Eng., 12(2), 219-298.
  23. Kaveh, A. and Maniat, M. (2015), "Damage detection based on MCSS and PSO using modal data", Smart Struct. Syst., Int. J., 15(5), 1253-1270. https://doi.org/10.12989/sss.2015.15.5.1253
  24. 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. Software, 80, 93-100. https://doi.org/10.1016/j.advengsoft.2014.09.010
  25. Kaveh, A. and Zolghadr, A. (2017), "Cyclical Parthenogenesis Algorithm for guided modal strain energy based structural damage detection", Appl. Soft Comput., 57, 250-264. https://doi.org/10.1016/j.asoc.2017.04.010
  26. Kaveh, A., Javadi, S.M. and Maniat, M. (2014), "Damage assessment via modal data with a mixed particle swarm strategy, ray optimizer, and harmony search", Asian J. Civil Eng. (Building and Housing), 15(1), 95-106.
  27. Kaveh, A., Vaez, S.H., Hosseini, P. and Fathali, M.A. (2018), "A new two-phase method for damage detection in skeletal structures", Iran. J. Sci. Technol. Transact. Civil Eng., 43(1), 49-65. https://doi.org/10.1007/s40996-018-0190-4
  28. Kaveh, A., Vaez, S.R.H. and Hosseini, P. (2019), "Enhanced vibrating particles system algorithm for damage identification of truss structures", Scientia Iranica, 26(1), 246-256. https://doi.org/10.24200/sci.2017.4265
  29. Kennedy, J. and Eberhart, R. (1995), "Particle swarm optimization", Proceedings of ICNN'95-International Cference on Neural Networks, Volume 4, pp. 1942-1948. https://doi.org/10.1109/ICNN.1995.488968
  30. Kim, J.T., Ryu, Y.S., Cho, H.M. and Stubbs, N. (2003), "Damage identification in beam-type structures: Frequency-based method vs mode-shape-based method", Eng. Struct., 25(1), 57-67. https://doi.org/10.1016/S0141-0296(02)00118-9
  31. Majumdar, A., Maiti, D.K. and Maity, D. (2012), "Damage assessment of truss structures from changes in natural frequencies using ant colony optimization", Appl. Mathe. Computat., 218(19), 9759-9772. https://doi.org/10.1016/j.amc.2012.03.031
  32. Mares, C. and Surace, C. (1996), "An application of genetic algorithms to identify damage in elastic structures", J. Sound Vib., 195(2), 195-215. https://doi.org/10.1006/jsvi.1996.0416
  33. Miguel, L.F.F., Miguel, L.F.F., Kaminski Jr, J. and Riera, J.D. (2012), "Damage detection under ambient vibration by harmony search algorithm", Expert Syst. Applicat., 39(10), 9704-9714. https://doi.org/10.1016/j.eswa.2012.02.147
  34. Mohan, S.C., Maiti, D.K. and Maity, D. (2013), "Structural damage assessment using FRF employing particle swarm optimization", Appl. Mathe. Computat., 219(20), 10387-10400. https://doi.org/10.1016/j.amc.2013.04.016
  35. Nanda, B., Maity, D. and Maiti, D.K. (2012), "Vibration based structural damage detection technique using particle swarm optimization with incremental swarm size", Int. J. Aeronaut. Space Sci., 13(3), 323-331. https://doi.org/10.5139/IJASS.2012.13.3.323
  36. Naser, A.S., Salajegheh, J., Salajegheh, E. and Fadaei, M. (2010), "An improved genetic algorithm using sensitivity analysis and micro search for damage detection", Asian J. Civil Eng. (Building and Housing), 11(6), 717-740.
  37. Nobahari, M., Ghasemi, M.R. and Shabakhty, N. (2017), "A novel heuristic search algorithm for optimization with application to structural damage identification", Smart Struct. Syst., Int. J., 19(4), 449-461. https://doi.org/10.12989/sss.2017.19.4.449
  38. Nouri Shirazi, M.R., Mollamahmoudi, H. and Seyedpoor, S.M. (2014), "Structural damage identification using an adaptive multi-stage optimization method based on a modified particle swarm algorithm", J. Optimiz. Theory Applicat., 160(3), 1009-1019. https://doi.org/10.1007/s10957-013-0316-6
  39. Pan, C.D., Yu, L., Chen, Z.P., Luo, W.F. and Liu, H.L. (2016), "A hybrid self-adaptive Firefly-Nelder-Mead algorithm for structural damage detection", Smart Struct. Syst., Int. J., 17(6), 957-980. https://doi.org/10.12989/sss.2016.17.6.957
  40. Pandey, A.K. and Biswas, M. (1994), "Damage Detection in Structures Using Changes in Flexibility", J. Sound Vib., 3-17. https://doi.org/10.1006/jsvi.1994.1002
  41. Pandey, A.K., Biswas, M. and Samman, M.M. (1991), "Damage detection from changes in curvature mode shapes", J. Sound Vib., 145(2), 321-332. https://doi.org/10.1016/0022-460X(91)90595-B
  42. Pastor, M., Binda, M. and Harcarik, T. (2012), "Modal assurance criterion", Procedia Eng., 48, 543-548. https://doi.org/10.1016/j.proeng.2012.09.551
  43. Perera, R. and Torres, R. (2006), "Structural damage detection via modal data with genetic algorithms", J. Struct. Eng., 132(9), 1491-1501. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:9(1491)
  44. Pholdee, N. and Bureerat, S. (2016), "Structural health monitoring through meta-heuristics - comparative performance study", Adv. Computat. Des., Int. J., 1(4), 315-327. https://doi.org/10.12989/acd.2016.1.4.315
  45. Rao, A.R.M., Lakshmi, K. and Venkatachalam, D. (2012), "Damage diagnostic technique for structural health monitoring using POD and self adaptive differential evolution algorithm", Comput. Struct., 106-107, 228-244. https://doi.org/10.1016/j.compstruc.2012.05.009
  46. Saada, M.M., Arafa, M.H. and Nassef, A.O. (2013), "Finite element model updating approach to damage identification in beams using particle swarm optimization", Eng. Optimiz., 45(6), 677-696. https://doi.org/10.1080/0305215X.2012.704026
  47. Seyedpoor, S.M. (2011), "Structural damage detection using a multi-stage particle swarm optimization", Adv. Struct. Eng., 14(3), 533-549. https://doi.org/10.1260/1369-4332.14.3.533
  48. 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. Non-Linear Mech., Elsevier, 47(1), 1-8. https://doi.org/10.1016/j.ijnonlinmec.2011.07.011
  49. Seyedpoor, S.M. and Maryam, M. (2016), "A two-stage damage detection method for truss structures using a modal residual vector based indicator and differential evolution algorithm", Smart Struct. Syst., Int. J., 17(2), 347-361. https://doi.org/10.12989/sss.2016.17.2.347
  50. Villalba, J.D. and Laier, J.E. (2012), "Localising and quantifying damage by means of a multi-chromosome genetic algorithm", Adv. Eng. Software, 50, 150-157. https://doi.org/10.1016/j.advengsoft.2012.02.002
  51. 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. https://doi.org/10.1016/j.jsv.2013.10.007
  52. Xiang, J. and Liang, M. (2012), "A two-step approach to multidamage detection for plate structures", Eng. Fract. Mech., 91, 73-86. https://doi.org/10.1016/j.engfracmech.2012.04.028
  53. Xiang, J., Matsumoto, T., Wang, Y. and Jiang, Z. (2013), "Detect damages in conical shells using curvature mode shape and wavelet finite element method", Int. J. Mech. Sci., 66, 83-93. https://doi.org/10.1016/j.ijmecsci.2012.10.010
  54. Yu, L. and Wan, Z. (2008), "An Improved PSO Algorithm and Its Application to Structural Damage Detection", Proceedings of the 4th International Conference on Natural Computation, Volume 1, pp. 423-427. https://doi.org/10.1109/ICNC.2008.224