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Robust finite element model updating of a large-scale benchmark building structure

  • Matta, E. (Department of Structural and Geotechnical Engineering, Politecnico di Torino) ;
  • De Stefano, A. (Department of Structural and Geotechnical Engineering, Politecnico di Torino)
  • Received : 2011.09.03
  • Accepted : 2012.07.09
  • Published : 2012.08.10

Abstract

Accurate finite element (FE) models are needed in many applications of Civil Engineering such as health monitoring, damage detection, structural control, structural evaluation and assessment. Model accuracy depends on both the model structure (the form of the equations) and the model parameters (the coefficients of the equations), and can be generally improved through that process of experimental reconciliation known as model updating. However, modelling errors, including (i) errors in the model structure and (ii) errors in parameters excluded from adjustment, may bias the solution, leading to an updated model which replicates measurements but lacks physical meaning. In this paper, an application of ambient-vibration-based model updating to a large-scale benchmark prototype of a building structure is reported in which both types of error are met. The error in the model structure, originating from unmodelled secondary structural elements unexpectedly working as resonant appendages, is faced through a reduction of the experimental modal model. The error in the model parameters, due to the inevitable constraints imposed on parameters to avoid ill-conditioning and under-determinacy, is faced through a multi-model parameterization approach consisting in the generation and solution of a multitude of models, each characterized by a different set of updating parameters. Results show that modelling errors may significantly impair updating even in the case of seemingly simple systems and that multi-model reasoning, supported by physical insight, may effectively improve the accuracy and robustness of calibration.

Keywords

References

  1. Adhikari, S. and Friswell, M.I. (2010), "Distributed parameter model updating using the Karhunen-Loeve expansion", Mech. Syst. Signal Pr., 24, 326-339. https://doi.org/10.1016/j.ymssp.2009.08.007
  2. Altuni ik, A.C., Bayraktar, A., Sevim, B., Kartal, M.E. and Adanur, S. (2010), "Finite element model updating of an arch type steel laboratory bridge model using semi-rigid connection", Steel Compos. Struct., 10(6), 543-563.
  3. Aoki, T. and Sabia, D. (2005), "Structural identification and seismic performance of brick chimneys, Tokoname, Japan", Struct. Eng. Mech., 21, 553-570. https://doi.org/10.12989/sem.2005.21.5.553
  4. Bayraktar, A., Altuni ik, A.C., Sevim, B. and Turker, T. (2010), "Finite element model updating of Kömürhan highway bridge based on experimental measurements", Smart Struct. Syst., 6(4), 373-388. https://doi.org/10.12989/sss.2010.6.4.373
  5. Bonato, P., Ceravolo, R., De Stefano, A. and Molinari, F. (2000), "Use of cross time-frequency estimators for the structural identification in non-stationary conditions and under unknown excitation", J. Sound Vib., 237, 775-791. https://doi.org/10.1006/jsvi.2000.3097
  6. Brincker, R., Zhang, L. and Andersen, P. (2001), "Modal identification of output-only systems using frequency domain decomposition", Smart Mater. Struct., 10, 441-445. https://doi.org/10.1088/0964-1726/10/3/303
  7. 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)
  8. Den Hartog, J.P. (1956), Mechanical Vibrations, 4th Edition, McGraw-Hill, New York.
  9. Friswell, M.I. and Mottershead, J.E. (1995), Finite Element Model Updating in Structural Dynamics, Kluwer Academic Press, Dordrecht, The Netherlands.
  10. Giraldo, D.F., Song, W., Dyke, S.J. and Caicedo, J.M. (2009), "Modal identification through ambient vibration: Comparative study", J. Eng. Mech., 135(8), 759-770. https://doi.org/10.1061/(ASCE)0733-9399(2009)135:8(759)
  11. Govers, Y. and Link, M. (2010), "Stochastic model updating - Covariance matrix adjustment from uncertain experimental modal data", Mech. Syst. Signal Pr., 24, 696-706. https://doi.org/10.1016/j.ymssp.2009.10.006
  12. Juang, J.N. and Pappa, R.S. (1984), "An eigensystem realisation algorithm (ERA) for modal parameter identification and modal reduction", Proceedings of NASA/JPL Workshop on Identification and Control of Flexible Space Structures.
  13. Jung, D.S. and Kim, C.Y. (2009), "FE model updating based on hybrid genetic algorithm and its verification on numerical bridge model", Struct. Eng. Mech., 32(5), 667-683. https://doi.org/10.12989/sem.2009.32.5.667
  14. Kim, G.H. and Park, Y.S. (2008), "An automated parameter selection procedure for finite-element model updating and its applications", J. Sound Vib., 309, 778-793. https://doi.org/10.1016/j.jsv.2007.07.076
  15. Levin, G.R.I. and Lieven, N.A.J. (1998), "Dynamic finite element model updating using simulated annealing and genetic algorithms", Mech. Syst. Signal Pr., 12(1), 91-120. https://doi.org/10.1006/mssp.1996.0136
  16. Li, X.Y. and Law, S.S. (2010), "Adaptive Tikhonov regularization for damage detection based on nonlinear model updating", Mech. Syst. Signal Pr., 24, 1646-1664. https://doi.org/10.1016/j.ymssp.2010.02.006
  17. Maia, N.M.M. and Silva, J.M.M. (1997), Theoretical and Experimental Modal Analysis, Research Studies Press Ltd., Somerset.
  18. McFarland, J. and Mahadevan, S. (2008), "Error and variability characterization in structural dynamics modelling", Comput. Meth. Appl. M., 197, 2621-2631. https://doi.org/10.1016/j.cma.2007.07.029
  19. Mottershead, J.E., Link, M. and Friswell, M.I. (2011), "The sensitivity method in finite element model updating: A tutorial", Mech. Syst. Signal Pr., 25, 2275-2296. https://doi.org/10.1016/j.ymssp.2010.10.012
  20. Mthembu, L., Marwala, T., Friswell, M.I. and Adhikari, S. (2011), "Model selection in finite element model updating using the Bayesian evidence statistic", Mech. Syst. Signal Pr., 25, 2399-2412. https://doi.org/10.1016/j.ymssp.2011.04.001
  21. Nalitolela, N.G., Penny, J.E.T. and Friswell, M.I. (1992), "A mass or stiffness addition technique for structural parameter updating", Int. J. Analyt. Exp. Mod. Anal., 7(3), 157-168.
  22. Peeters, B. and Ventura, C.E. (2003), "Comparative study of modal analysis techniques for bridge dynamic characteristics", Mech. Syst. Signal Pr., 17(5), 965-988. https://doi.org/10.1006/mssp.2002.1568
  23. Perera, R. and Ruiz, A. (2008), "A multistage FE updating procedure for damage identification in large-scale structures based on multiobjective evolutionary optimization", Mech. Syst. Signal Pr., 22, 970-991. https://doi.org/10.1016/j.ymssp.2007.10.004
  24. Raphael, B. and Smith, I.F.C. (2003), "A direct stochastic algorithm for global search", Appl. Math. Comput., 146(2-3), 729-758. https://doi.org/10.1016/S0096-3003(02)00629-X
  25. Robert-Nicoud, Y., Raphael, B., Burdet, O. and Smith, I.F.C. (2005), "Model identification of bridges using measurement data", Comput.-Aided Civ. Inf., 20, 118-131. https://doi.org/10.1111/j.1467-8667.2005.00381.x
  26. Saitta, A., Raphael, B. and Smith I.F.C. (2005), "Data mining techniques for improving the reliability of system identification", Adv. Eng. Inform., 19, 289-298. https://doi.org/10.1016/j.aei.2005.07.005
  27. Sanayei, M, Wadia-Fascetti, S., Arya, B. and Santini, E.M. (2001), "Significance of modelling error in structural parameter estimation", Comput.-Aided Civ. Inf., 16, 12-27. https://doi.org/10.1111/0885-9507.00210
  28. Yan, G., Duan, Z. and Ou, J. (2010), "Damage detection for beam structures using an angle-between-string-andhorizon flexibility matrix", Struct. Eng. Mech., 36(5), 643-667. https://doi.org/10.12989/sem.2010.36.5.643
  29. Yu, E. and Chung, L. (2012), "Seismic damage detection of a reinforced concrete structure by finite element model updating", Smart Struct. Syst., 9(3), 253-271. https://doi.org/10.12989/sss.2012.9.3.253
  30. Zapico-Valle, J.L., Alonso-Camblor, R., Gonzalez-Mart nez, M.P. and Garcia-Dieguez, M. (2010), "A new method for finite element model updating in structural dynamics", Mech. Syst. Signal Pr., 24, 2137-2159. https://doi.org/10.1016/j.ymssp.2010.03.011
  31. Zarate, B.A. and Caicedo, J.M. (2008), "Finite element model updating: Multiple alternatives", Eng. Struct., 30, 3724-3730. https://doi.org/10.1016/j.engstruct.2008.06.012

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