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A novel PSO-based algorithm for structural damage detection using Bayesian multi-sample objective function

  • Chen, Ze-peng (School of Mechanics and Construction Engineering, Jinan University) ;
  • Yu, Ling (School of Mechanics and Construction Engineering, Jinan University)
  • Received : 2016.10.26
  • Accepted : 2017.05.12
  • Published : 2017.09.25

Abstract

Significant improvements to methodologies on structural damage detection (SDD) have emerged in recent years. However, many methods are related to inversion computation which is prone to be ill-posed or ill-conditioning, leading to low-computing efficiency or inaccurate results. To explore a more accurate solution with satisfactory efficiency, a PSO-INM algorithm, combining particle swarm optimization (PSO) algorithm and an improved Nelder-Mead method (INM), is proposed to solve multi-sample objective function defined based on Bayesian inference in this study. The PSO-based algorithm, as a heuristic algorithm, is reliable to explore solution to SDD problem converted into a constrained optimization problem in mathematics. And the multi-sample objective function provides a stable pattern under different level of noise. Advantages of multi-sample objective function and its superior over traditional objective function are studied. Numerical simulation results of a two-storey frame structure show that the proposed method is sensitive to multi-damage cases. For further confirming accuracy of the proposed method, the ASCE 4-storey benchmark frame structure subjected to single and multiple damage cases is employed. Different kinds of modal identification methods are utilized to extract structural modal data from noise-contaminating acceleration responses. The illustrated results show that the proposed method is efficient to exact locations and extents of induced damages in structures.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

References

  1. Au, S.K. and Zhang, F.L. (2012), "Fast Bayesian ambient modal iidentification incorporating multiple setups", J. Eng. Mech., 138(7), 800-815. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000385
  2. Au, S.K. and Zhang, F.L. (2016), "Fundamental two-stage formulation for Bayesian system identification, Part I: General theory", Mech. Syst. Signal Pr., 66-67, 31-42. https://doi.org/10.1016/j.ymssp.2015.04.025
  3. Baghmisheh, M.T.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., 12(8), 2217-2226. https://doi.org/10.1016/j.asoc.2012.03.030
  4. Beck, J.L., Au, S.K. and Vanik, M.W. (1999), "Bayesian probabilistic approach to structural health monitoring", J. Eng. Mech., 126(7), 738-745. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:7(738)
  5. Beck, J.L., Au, S.K. and Vanik, M.W. (2002), "Monitoring structural health using a probabilistic measure", Comput. Aid. Civil Inf., 16(1), 1-11.
  6. Begambre, O. and Laier, J.E. (2009), "A hybrid particle swarm optimization - simplex algorithm (PSOS) for structural damage identification", Adv. Eng. Softw., 40(9), 883-891. https://doi.org/10.1016/j.advengsoft.2009.01.004
  7. Chen, B. and Xu, Y.L. (2007), "A new damage index for detecting sudden change of structural stiffness", Struct. Eng. Mech., 26(26), 315-341. https://doi.org/10.12989/sem.2007.26.3.315
  8. Chen, Z.P. and Yu, L. (2015). "An improved PSO-NM algorithm for structural damage detection", International Conference on Swarm Intelligence, Beijing, China, June.
  9. Cheung, S.H. and Beck, J.L. (2009), "Bayesian model updating using hybrid monte carlo simulation with application to structural dynamic models with many uncertain parameters", J. Eng. Mech., 135(4), 243-255. https://doi.org/10.1061/(ASCE)0733-9399(2009)135:4(243)
  10. Ching, J. and Beck, J.L. (2004), "Bayesian analysis of the phase II IASC-ASCE structural health monitoring experimental benchmark data", J. Eng. Mech., 130(10), 1233-1244. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:10(1233)
  11. Farrar, C.R. and Worden, K. (2007), "An introduction to structural health monitoring", Philos. Tran. A, 365(1851), 1-17.
  12. Friswell, M.I. (2008), "Damage identification using inverse methods", Philos. Tran. A, 365(1851), 393-410.
  13. Gerist, S. and Maheri, M.R. (2016), "Multi-stage approach for structural damage detection problem using basis pursuit and particle swarm optimization", J. Sound. Vib., 384, 210-226. https://doi.org/10.1016/j.jsv.2016.08.024
  14. Jensen, H.A., Esse, C., Araya, V. and Papadimitriou, C. (2017), "Implementation of an adaptive meta-model for Bayesian finite element model updating in time domain", Reliab. Eng. Syst. Saf., 160, 174-190. https://doi.org/10.1016/j.ress.2016.12.005
  15. Johnson, E.A., Lam, H.F., Katafygiotis, L.S. and Beck, J.L. (2004), "Phase I IASC-ASCE structural health monitoring benchmark problem using simulated data", J. Eng. Mech., 130(1), 3-15. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:1(3)
  16. Katafygiotis, L.S. and Yuen, K.V. (2001), "Bayesian spectral density approach for modal updating using ambient data", Earthq. Eng. Struct. D., 30(8), 1103-1123. https://doi.org/10.1002/eqe.53
  17. Li, Y.Y. and Chen, Y. (2013), "A review on recent development of vibration-based structural robust damage detection", Struct. Eng. Mech., 45(2), 159-168. https://doi.org/10.12989/sem.2013.45.2.159
  18. 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., 17(6), 957-980. https://doi.org/10.12989/sss.2016.17.6.957
  19. 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
  20. 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
  21. Peeters, B. and Roeck, G.D. (2001), "Stochastic system identification for operational modal analysis: a review", J. Dyn. Syst.-T. Asme, 123(4), 659-667. https://doi.org/10.1115/1.1410370
  22. 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.
  23. Shi, Z.Y., Law, S.S. and Zhang, L.M. (2000), "Structural damage detection from modal strain energy change", J. Eng. Mech., 126(12), 1216-1223. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:12(1216)
  24. Simoen, E., De Roeck, G. and Lombaert, G. (2015), "Dealing with uncertainty in model updating for damage assessment: A review", Mech. Syst. Signal Pr., 56-57, 123-149. https://doi.org/10.1016/j.ymssp.2014.11.001
  25. Stone, J.V. (2001), "Blind source separation using temporal predictability", Neural Comput., 13(7), 1559-1574. https://doi.org/10.1162/089976601750265009
  26. Teughels, A. and De Roeck, G. (2005), "Damage detection and parameter identification by finite element model updating", Arch. Comput. Meth. E., 12(2), 123-164. https://doi.org/10.1007/BF03044517
  27. Xu, H.J., Ding, Z.H., Lu, Z.R. and Liu, J.K. (2015), "Structural damage detection based on Chaotic Artificial Bee Colony algorithm", Struct. Eng. Mech., 55(6), 1223-1239. https://doi.org/10.12989/sem.2015.55.6.1223
  28. 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(5), 2198-2211. https://doi.org/10.1016/j.ymssp.2006.10.002
  29. Yang, Y., Li, S., Nagarajaiah, S., Li, H. and Zhou, P. (2015), "Real-time output-only Iidentification of time-varying cable tension from accelerations via complexity pursuit", J. Struct. Eng., 142(1).
  30. Yang, Y. and Nagarajaiah, S. (2013), "Blind modal identification of output-only structures in time-domain based on complexity pursuit", Earthq. Eng. Struct. D., 42(13), 1885-1905. https://doi.org/10.1002/eqe.2302
  31. Yu, L. and Li, C. (2014), "A global artificial fish swarm algorithm for structural damage detection", Adv. Struct. Eng., 17(3), 331-346. https://doi.org/10.1260/1369-4332.17.3.331
  32. Yu, L. and Lin, J.C. (2017), "Cloud computing-based time series analysis for structural damage detection", J. Eng. Mech., 143(1), C4015002. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000982
  33. Yu, L. and Xu, P. (2011), "Structural health monitoring based on continuous ACO method", Microelectron. Reliab., 51(2), 270-278. https://doi.org/10.1016/j.microrel.2010.09.011
  34. Yu, L. and Zhu, J.H. (2015), "Nonlinear damage detection using higher statistical moments of structural responses", Struct. Eng. Mech., 54(2), 221-237. https://doi.org/10.12989/sem.2015.54.2.221
  35. Yuen, K.V., Au, S.K. and Beck, J.L. (2004), "Two-stage structural health monitoring approach for phase I Benchmark studies", J. Eng. Mech., 130(1), 16-33. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:1(16)
  36. Yuen, K.V. and Katafygiotis, L.S. (2001), "Bayesian time-domain approach for modal updating using ambient data", Probabilist Eng. Mech., 16(3), 219-231. https://doi.org/10.1016/S0266-8920(01)00004-2
  37. Yuen, K.V. and Katafygiotis, L.S. (2003), "Bayesian fast fourier transform approach for mdal updating using ambient data", Adv. Struct. Eng., 6(2), 81-95. https://doi.org/10.1260/136943303769013183
  38. Yuen, K.V. and Kuok, S.C. (2001), "Bayesian methods for updating dynamic models", Appl. Mech. Rev., 64(1), Article number 010802.
  39. Zhang, F.L. and Au, S.K. (2016), "Fundamental two-stage formulation for Bayesian system identification, Part II: Application to ambient vibration data", Mech. Syst. Signal Pr., 66-67, 43-61. https://doi.org/10.1016/j.ymssp.2015.04.024
  40. Zhang, F.L., Ni, Y.C., Au, S.K. and Lam, H.F. (2015), "Fast bayesian approach for modal identification using free vibration data, Part I - Most probable value", Mech. Syst. Signal Pr., 70-71, 209-220.
  41. Zhang, F.L., Xiong, H.B., Shi, W.X. and Ou, X. (2016), "Structural health monitoring of Shanghai Tower during different stages using a Bayesian approach", Struct. Control Hlth., 23, 1366-1384. https://doi.org/10.1002/stc.1840

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