Steel and Composite Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Structural damage identification using an iterative two-stage method combining a modal energy based index with the BAS algorithm

  • Wang, Shuqing (Shandong Provincial Key Laboratory of Ocean Engineering, Ocean University of China) ;
  • Jiang, Yufeng (Shandong Provincial Key Laboratory of Ocean Engineering, Ocean University of China) ;
  • Xu, Mingqiang (Shandong Provincial Key Laboratory of Ocean Engineering, Ocean University of China) ;
  • Li, Yingchao (College of Civil Engineering, Ludong University) ;
  • Li, Zhixiong (Shandong Provincial Key Laboratory of Ocean Engineering, Ocean University of China)
  • Received : 2019.09.10
  • Accepted : 2020.06.24
  • Published : 2020.07.10
⟨ Previous Next ⟩

Abstract

The purpose of this study is to develop an effective iterative two-stage method (ITSM) for structural damage identification of offshore platform structures. In each iteration, a new damage index, Modal Energy-Based Damage Index (MEBI), is proposed to help effectively locate the potential damage elements in the first stage. Then, in the second stage, the beetle antenna search (BAS) algorithm is used to estimate the damage severity of these elements. Compared with the well-known particle swarm optimization (PSO) algorithm and genetic algorithm (GA), this algorithm has lower computational cost. A modal energy based objective function for the optimization process is proposed. Using numerical and experimental data, the efficiency and accuracy of the ITSM are studied. The effects of measurement noise and spatial incompleteness of mode shape are both considered. All the obtained results show that under these influences, the ITSM can accurately identify the true location and severity of damage. The results also show that the objective function based on modal energy is most suitable for the ITSM compared with that based on flexibility and weighted natural frequency-mode shape.

Keywords

Acknowledgement

The research described in this paper was financially supported by the National Science Fund for Distinguished Young Scholars (51625902), the National Key Research and Development Program of China (2019YFC0312404), the Major Scientific and Technological Innovation Project of Shandong Province (2019JZZY010820), the National Natural Science Foundation of China (51809134), the Natural Science Foundation of Shandong Province (ZR2017MEE007), and the Taishan Scholars Program of Shandong Province (TS201511016).

References

  1. Alamdari, M.M., Li, J. and Samali, B. (2015), "Damage identification using 2-D discrete wavelet transform on extended operational mode shapes", Arch. Civ. Mech. Eng., 15(3), 698-710. https://doi.org/10.1016/j.acme.2014.12.001.
  2. Casciati, S. and Elia, L. (2017), "Damage localization in a cable-stayed bridge via bio-inspired metaheuristic tools", Struct. Control. Health. Monit., 24(5), e1922. https://doi.org/10.1002/stc.1922.
  3. Cha, Y.J. and Buyukozturk, O. (2015), "Structural damage detection using modal strain energy and hybrid multi-objective optimization", Comput-Aided. Civ. Inf., 30(5), 347-358. https://doi.org/10.1111/mice.12122.
  4. Chaabane, M., Mansouri, M., Ben Hamida, A., Nounou, H. and Nounou, M. (2019), "Multivariate statistical process control-based hypothesis testing for damage detection in structural health monitoring systems", Struct. Control. Health. Monit., 26(1), e2287. https://doi.org/10.1002/stc.2287.
  5. 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.
  6. Dessi, D. and Camerlengo, G. (2015), "Damage identification techniques via modal curvature analysis: overview and comparison", Mech. Syst. Signal. Pr., 52, 181-205. https://doi.org/10.1016/j.ymssp.2014.05.031.
  7. Dinh-Cong, D., Nguyen-Thoi, T., Vinyas, M. and Nguyen, D.T. (2019a), "Two-stage structural damage assessment by combining modal kinetic energy change with symbiotic organisms search", Int. J. Struct. Stab. Dy., 19(10), 1950120. https://doi.org/10.1142/S0219455419501207.
  8. Dinh-Cong, D., Vo-Duy, T., Ho-Huu, V. and Nguyen-Thoi, T. (2019b), "Damage assessment in plate-like structures using a two-stage method based on modal strain energy change and Jaya algorithm", Inverse. Probl. Sci. En., 27(2), 166-189. https://doi.org/10.1080/17415977.2018.1454445.
  9. Dinh-Cong, D., Vo-Duy T. and Nguyen-Thoi T. (2018), "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.
  10. Dinh-Cong, D., Vo-Van, L., Nguyen-Quoc, D. and Nguyen-Thoi T. (2019c), "Modal kinetic energy change ratio-based damage assessment of laminated composite beams using noisy and incomplete measurements", J. Adv. Eng. Comput., 3(3), 452-463. https://doi.org/10.25073/jaec.201933.248.
  11. Dorigo, M. and Di Caro, G. (1999), "Ant colony optimization: a new meta-heuristic", Proceedings of the 1999 Congress on Evolutionary Computation, Washington, DC, USA, July.
  12. Frigui, F., Faye, J.P., Martin, C., Dalverny, O., Peres, F. and Judenherc, S. (2018), "Global methodology for damage detection and localization in civil engineering structures", Eng. Struct., 171, 686-695. https://doi.org/10.1016/j.engstruct.2018.06.026.
  13. Ghiasi, R. and Ghasemi, M.R. (2018). "An intelligent health monitoring method for processing data collected from the sensor network of structure", Steel. Compos. Struct., 29(6), 703-716. https://doi.org/10.12989/scs.2018.29.6.703.
  14. Guyan, R.J. (1965), "Reduction of stiffness and mass matrices", AIAA. J., 3(2), 380. https://doi.org/10.2514/3.2874.
  15. Hakim, S.J.S. and Razak, H.A. (2013), "Structural damage detection of steel bridge girder using artificial neural networks and finite element models", Steel. Compos. Struct., 14(4), 367-377. https://doi.org/10.12989/scs.2013.14.4.367.
  16. Hu, S.L.J., Wang, S.Q. and Li, H.J. (2006), "Cross-modal strain energy method for estimating damage severity", J. Eng. Mech., 132(4), 429-437. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:4(429).
  17. Holland, J. (1973), "Genetic algorithms and the optimal allocation of trials", SIAM. J. Comput., 2(2), 88-105. https://doi.org/10.1137/0202009.
  18. Jiang, X.Y. and Li, S. (2017), "BAS: beetle antennae search algorithm for optimization problems", arXiv preprint, arXiv: 1710.10724. https://doi.org/10.5430/ijrc.v1n1p1.
  19. Kang, F., Li, J.J. and Xu, Q. (2012), "Damage detection based on improved particle swarm optimization using vibration data", Appl. Soft. Comput., 12(8), 2329-2335. https://doi.org/10.1016/j.asoc.2012.03.050.
  20. Karaboga, D. and Basturk, B. (2008), "On the performance of artificial bee colony (ABC) algorithm", Appl. Soft. Comput., 8(1), 687-697. https://doi.org/10.1016/j.asoc.2007.05.007.
  21. 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.
  22. Kennedy, J. and Eberhart, R. (1995), "Particle swarm optimization", Proceedings of IEEE International Conference on Neural Networks, 4, 1942-1948. https://doi.org/10.1109/ICNN.1995.488968.
  23. 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.
  24. Li, H.J., Fang, H. and Hu, S.L.J. (2007), "Damage localization and severity estimate for three-dimensional frame structures", J. Sound. Vib., 301(3-5), 481-494. https://doi.org/10.1016/j.jsv.2006.08.042.
  25. Meruane, V. and Heylen, W. (2011), "An hybrid real genetic algorithm to detect structural damage using modal properties", Mech. Syst. Signal. Pr., 25(5), 1559-1573. https://doi.org/10.1016/j.ymssp.2010.11.020.
  26. Meruane, V. and Mahu, J. (2014), "Real-time structural damage assessment using articial neural networks and antiresonant frequencies", Shock. Vib., 2014, 1-14. https://doi.org/10.1155/2014/653279.
  27. Messina, A., Jones, I.A. and Williams, E.J. (1996), "Damage detection and localization using natural frequency changes", Proceedings of Conference on Identification in Engineering Systems, Swansea, UK, March.
  28. Nobahari, M., Ghasemi, M.R. and Shabakhty, N. (2017), "Truss structure damage identification using residual force vector and genetic algorithm", Steel. Compos. Struct., 25(4), 485-496. https://doi.org/10.12989/scs.2017.25.4.485.
  29. Oliveira, G., Magalhaes, F., Cunha, A. and Caetano, E. (2018), "Vibration-based damage detection in a wind turbine using 1 year of data", Struct. Control. Health. Monit., 25, e2238. https://doi.org/10.1002/stc.2238.
  30. Pandey, A.K. and Biswas, M. (1994), "Damage detection in structures using changes in flexibility", J. Sound. Vib., 169(1), 3-17. https://doi.org/10.1006/jsvi.1994.1002.
  31. 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.
  32. Perera, R., Fang, S.E. and Huerta, C. (2009), "Structural crack detection without updated baseline model by single and multi-objective optimization", Mech. Syst. Signal. Pr., 23(3), 752-768. https://doi.org/10.1016/j.ymssp.2008.06.010.
  33. Ren, W.X. and Chen, H.B. (2010), "Finite element model updating in structural dynamics by using the response surface method", Eng. Struct., 32(8), 2455-2465. https://doi.org/10.1016/j.engstruct.2010.04.019.
  34. 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. https://doi.org/10.1016/j.ijnonlinmec.2011.07.011.
  35. Shabbir, F. and Omenzetter, P. (2016), "Model updating using genetic algorithms with sequential niche technique", Eng. Struct., 120, 166-182. https://doi.org/10.1016/j.engstruct.2016.04.028.
  36. Shi, Z.Y., Law, S.S. and Zhang, L.M. (1998), "Structural damage localization from modal strain energy change", J. Eng. Mech., 218(5), 825-844. https://doi.org/10.1006/jsvi.1998.1878.
  37. Shirazi, M.N., 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. App., 160(3), 1009-1019. https://doi.org/10.1007/s10957-013-0316-6.
  38. Srinivas, V., Ramanjaneyulu, K. and Jeyasehar, C.A. (2011), "Multistage approach for structural damage identification using modal strain energy and evolutionary optimization techniques", Struct. Health. Monit., 10(2), 219-230. https://doi.org/10.1177/1475921710373291.
  39. Stubbs, N., Kim, J.T. and Farrar, C.R. (1995), "Field verification of a nondestructive damage localization and severity estimation algorithm", Proceedings of the International Modal Analysis Conference, Bethel, Conn, USA, February.
  40. Tang, H., Zhang, W., Xie, L. and Xue, S. (2013), "Multi-stage approach for structural damage identification using particle swarm optimization", Smart. Struct. Syst., 11(1), 69-86. https://doi.org/10.12989/sss.2013.11.1.069.
  41. Tiachacht, S., Bouazzouni, A., Khatir, S., Wahab, M.A., 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.
  42. Villalba, J.D. and Laier, J.E. (2012), "Localizing 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.
  43. Vo-Duy, T., Ho-Huu, V., Dang-Trung, H. and Nguyen-Thoi, T. (2016), "A two-step approach for damage detection in laminated composite structures using modal strain energy method and an improved differential evolution algorithm", Compos. Struct., 147, 42-53. https://doi.org/10.1016/j.compstruct.2016.03.027.
  44. Wang, S.Q. and Li, H.J. (2012), "Assessment of structural damage using natural frequency changes", Acta. Mech. Sin., 28(1), 118-127. https://doi.org/10.1007/s10409-012-0017-7.
  45. Wang, S.Q., Li, H.J. and Hu, S.L.J. (2009), "Cross modal strain energy method for damage localization and severity estimation", Proceedings of the 26th International Conference on Offshore Mechanics and Arctic Engineering, San Diego, California, USA, June.
  46. Wang, S.Q. and Liu, F.S. (2010), "New accuracy indicator to quantify the true and false modes for eigensystem realization algorithm", Struct. Eng. Mech., 34(5), 625-634. https://doi.org/10.12989/sem.2010.34.5.625.
  47. Wang, S.Q., Wang, H.Y. and Xu, M.Q. (2020), "Identifying the presence of structural damage: a statistical hypothesis testing approach combined with residual strain energy", Mech. Syst. Signal. Pr., 140, 106655. https://doi.org/10.1016/j.ymssp.2020.106655.
  48. Wang, S.Q. and Xu, M.Q. (2019), "Modal strain energy-based structural damage identification: a review and comparative study", Struct. Eng. Int., 29(2), 234-248. https://doi.org/10.1080/10168664.2018.1507607.
  49. Wang, S.Q., Xu, M.Q., Xia, Z.P. and Li, Y.C. (2019), "A novel Tikhonov regularization-based iterative method for structural damage detection of offshore platforms", J. Mar. Sci. Tech., 24(2), 575-592. https://doi.org/10.1007/s00773-018-0579-6.
  50. Xu, Y., Qian, Y., Song, G. and Guo, K. (2015), "Damage detection using finite element model updating with an improved optimization algorithm", Mech. Syst. Signal. Pr., 19(1), 191-208. https://doi.org/10.12989/scs.2015.19.1.191.
  51. Xu, M.Q. and Wang, S.Q. (2017), "Cross modal strain energy-based structural damage detection in the presence of noise effects", Adv. Mech. Eng., 9(12). https://doi.org/10.1177/1687814017744122.
  52. Xu, M.Q., Wang, S.Q. and Jiang, Y.F. (2019), "Iterative two-stage approach for identifying structural damage by combining the modal strain energy decomposition method with the multi-objective particle swarm optimization algorithm", Struct. Control. Health. Monit., 26(2), e2301. https://doi.org/10.1002/stc.2301.
  53. Yan, Y.J., Cheng, L., Wu, Z.Y. and Yam, L.H. (2007), "Development in vibration based structural damage detection", Mech. Syst. Signal. Pr., 21(5), 2198-2211. https://doi.org/10.1016/j.ymssp.2006.10.002.

Cited by

  1. Crack Detection in Plate-Like Structures Using Modal Strain Energy Method considering Various Boundary Conditions vol.2021, 2021, https://doi.org/10.1155/2021/9963135