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Damage identification of 2D and 3D trusses by using complete and incomplete noisy measurements

  • Rezaiee-Pajand, M. (Department of Civil Engineering, Ferdowsi University of Mashhad) ;
  • Kazemiyan, M.S. (Department of Civil Engineering, Ferdowsi University of Mashhad)
  • 투고 : 2013.11.30
  • 심사 : 2014.07.07
  • 발행 : 2014.10.10

초록

Four algorithms for damage detection of trusses are presented in this paper. These approaches can detect damage by using both complete and incomplete measurements. The suggested methods are based on the minimization of the difference between the measured and analytical static responses of structures. A non-linear constrained optimization problem is established to estimate the severity and location of damage. To reach the responses, the successive quadratic method is used. Based on the objective function, the stiffness matrix of the truss should be estimated and inverted in the optimization procedure. The differences of the proposed techniques are rooted in the strategy utilized for inverting the stiffness matrix of the damaged structure. Additionally, for separating the probable damaged members, a new formulation is proposed. This scheme is employed prior to the outset of the optimization process. Furthermore, a new tactic is presented to select the appropriate load pattern. To investigate the robustness and efficiency of the authors' method, several numerical tests are performed. Moreover, Monte Carlo simulation is carried out to assess the effect of noisy measurements on the estimated parameters.

키워드

참고문헌

  1. Abdo M.A.B. (2012), "Parametric study of using only static response in structural damage detection", Eng. Struct., 34, 124-131. https://doi.org/10.1016/j.engstruct.2011.09.027
  2. Bakhtiari-Nejad, F., Rahai, A. and Esfandiari, A. (2005), "A structural damage detection method using static noisy data", Eng. Struct., 27, 1784-1793. https://doi.org/10.1016/j.engstruct.2005.04.019
  3. Banan, M.R., Banan, M.R. and Hjelmstad, K.D. (1994a), "Parameter estimation of structures from static response, I: Computational Aspects", J. Struct. Eng., ASCE, 120(11), 3243-3258. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:11(3243)
  4. Banan, M.R., Banan, M.R. and Hjelmstad, K.D. (1994b), "Parameter estimation of structures from static response, II: Numerical Simulation Studies", J. Struct. Eng., ASCE, 120(11), 3259-3283. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:11(3259)
  5. Billinton, R. and Li, W. (1994), Reliability Assessment of Electric Power Systems Using Mont Carlo Methods, Plenum Press, New York, NY, USA.
  6. Carden, E.P. and Fanning, P. (2004), "Vibration based condition monitoring: a review", Struct. Hlth. Monit., 3(4), 355-377. https://doi.org/10.1177/1475921704047500
  7. Chou, J.H. and Ghaboussi, J. (2001), "Genetic algorithm in structural damage detection", Comput. Struct., 79, 1335-1353. https://doi.org/10.1016/S0045-7949(01)00027-X
  8. Doebling, S.W., Peterson, L.D. and Alvin, K.F. (1998), "Experimental determination of local structural stiffness by disassembly of measured flexibility matrices", J. Vib. Acoust., 120, 949-957. https://doi.org/10.1115/1.2893925
  9. Dobeling, S.W., Peterson, L.D. and Alvin, K.F. (1998), "Experimental determination of local structural stiffness by disassembly of measured flexibility matrices", J. Vib. Acoust., 120, 949-957. https://doi.org/10.1115/1.2893925
  10. Friswell, M.I. (2007), "Damage identification using inverse methods", Philos. T. Roy. Soc. A., 365, 393-410. https://doi.org/10.1098/rsta.2006.1930
  11. Hager, W.W. (1989), "Updating the inverse of a matrix", SIAM Rev., 31(2), 221-239. https://doi.org/10.1137/1031049
  12. Hajela, P. and Soeiro, F.J. (1990a), "Structural damage detection based on static and modal analysis", AIAA J., 28(6), 1110-1115. https://doi.org/10.2514/3.25174
  13. Hajela, P. and Soeiro, F.J. (1990b), "Recent developments in damage detection based on system identification methods", Struct. Optim., 2, 1-10. https://doi.org/10.1007/BF01743515
  14. Henderson, H.V. and Searle, S.R. (1981), "On deriving the inverse of a sum of matrices", SIAM Rev., 23(1), 53-60. https://doi.org/10.1137/1023004
  15. Hjelmstad, K.D. and Shin, S. (1997), "Damage detection and assessment of structures from static response", J. Eng. Mech., ASCE, 123(6), 568-576. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:6(568)
  16. Kouchmeshky, B., Aquino, W., Bongard, J.C. and Lipson, H. (2007), "Co-evolutionary algorithm for structural damage identification using minimal physical testing", Int. J. Numer. Meth. Eng., 69, 1085-1107. https://doi.org/10.1002/nme.1803
  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. Liu, P.L. and Chian, C.C. (1997), "Parameter identification of truss structures using static strains", J. Struct. Eng., ASCE, 123(7), 927-933. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:7(927)
  19. Majumdar, A., De, A., Maity, D. and Maiti, D.K. (2013), "Damage assessment of beams from changes in natural frequencies using ant colony optimization", Struct. Eng. Mech., 45(3), 391-410. https://doi.org/10.12989/sem.2013.45.3.391
  20. Mottershead, J.E. and Friswell, M.I. (1993), "Model updating in structural dynamics: a survey", J. Sound. Vib., 167(2), 347-375. https://doi.org/10.1006/jsvi.1993.1340
  21. 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
  22. Rezaiee-Pajand, M. and Aftabi Sani, A. (2008), "Truss damage detection utilizing Pseudo-Dual simplex method", Int. J. Eng. Sci., 19(8), 77-87. (in Persian)
  23. Rezaiee-Pajand, M., Kazemiyan, M.S. and Aftabi, S.A. (2014), "Static damage identification of 3D and 2D frames", Mech. Base. Des. Struct., 42(1), 70-96. https://doi.org/10.1080/15397734.2013.830534
  24. Rezaiee-Pajand, M. and Saliani, M. (2004), "Damage assessment of plane trusses by static finite element method", Journal of Tehran University College of Engineering (In Persian), 38(6), 759-775.
  25. Rezaiee-Pajand, M. and Sarafrazi, S.R. (2005), System Engineering and Optimization, Ferdowsi University of Mashhad Press, Mashhad, Iran.
  26. Roeck, G.D. (2003), "The state-of-the-art of damage detection by vibration monitoring: the SIMCES Experience", J. Struct. Control, 10, 127-134. https://doi.org/10.1002/stc.20
  27. Salawu, O.S. (1997), "Detection of structural damage through changes in frequency: a review", Eng. Struct., 19(9), 718-723. https://doi.org/10.1016/S0141-0296(96)00149-6
  28. Sanayei, M., Imbaro, G.R., McClain, A.S. and Brown, L.C. (1997), "Structural model updating using experimental static measurements", J. Struct. Eng., ASCE, 123(6), 792-798. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:6(792)
  29. Sanayei, M. and Nelson, R.B. (1986), "Identification of structural element stiffness from incomplete static test data", Society of Automotive Engineering, Technical Paper Ser, SAE-861793.
  30. Sanayei, M. and Onipede, O. (1991), "Damage assessment of structures using static test data", AIAA J., 29, 1174-1179. https://doi.org/10.2514/3.10720
  31. Sanayei, M., Onipede, O. and Babu, S.R. (1992), "Selection of noisy measurement locations for error reduction in static parameter identification", AIAA J., 30(9), 2299-2308. https://doi.org/10.2514/3.11218
  32. Sanayei, M. and Saletnik, M.J. (1996a), "Parameter estimation of structures from static strain measurements I: Formulation", J. Struct. Eng., ASCE, 122 (5), 555-562. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:5(555)
  33. Sanayei, M. and Saletnik, M.J. (1996b), "Parameter estimation of structures from static strain measurements II: Error sensitivity analysis", J. Struct. Eng., ASCE, 122(5), 563-572. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:5(563)
  34. Seyedpoor, S.M. and Yazdanpanah, O. (2013), "An efficient indicator for structural damage localization using the change of strain energy based on static noisy data", Appl. Math. Model., doi: http://dx.doi.org/10.1016/j.apm.2013.10.072.
  35. Sheena, Z., Unger, A. and Zalmanovich A. (1982), "Theoretical stiffness matrix correction by static test results", Israel J. Tech., 20, 245-253.
  36. Shenton, lll, H.W. and Hu, X. (2006), "Damage identification based on dead load redistribution: methodology", J. Struct. Eng., ASCE, 132(8), 1254-1263. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:8(1254)
  37. Shih, H.W., Thambiratnam, D.P. and Chan, T.H.T. (2011), "Damage detection in truss bridges using vibration multi-criteria approach", Struct. Eng. Mech., 39 (2), 187-206. https://doi.org/10.12989/sem.2011.39.2.187
  38. Yan, Y.J., Cheng, L., Wu, Z.Y. and Yam L.H. (2007), "Development in vibration-based structural damage detection technique", Mech. Syst. Sig. Pr., 21, 2198-2211. https://doi.org/10.1016/j.ymssp.2006.10.002
  39. Yang, Q.W. and Sun, B.X. (2010), "Structural damage localization and quantification using static test data", Struct. Hlth. Monit., 10(4), 381-389.
  40. Yun, G.J. (2012), "Detection and quantification of structural damage under ambient vibration environment", Struct. Eng. Mech., 42(3), 425-448. https://doi.org/10.12989/sem.2012.42.3.425

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