Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

FE model updating based on hybrid genetic algorithm and its verification on numerical bridge model

  • Jung, Dae-Sung (Department of Civil and Environmental Engineering, Myongji University) ;
  • Kim, Chul-Young (Department of Civil and Environmental Engineering, Myongji University)
  • Received : 2007.07.24
  • Accepted : 2009.06.24
  • Published : 2009.07.30
⟨ Previous Next ⟩

Abstract

FE model-based dynamic analysis has been widely used to predict the dynamic characteristics of civil structures. In a physical point of view, an FE model is unavoidably different from the actual structure as being formulated based on extremely idealized engineering drawings and design data. The conventional model updating methods such as direct method and sensitivity-based parameter estimation are not flexible for model updating of complex and large structures. Thus, it is needed to develop a model updating method applicable to complex structures without restriction. The main objective of this paper is to present the model updating method based on the hybrid genetic algorithm (HGA) by combining the genetic algorithm as global optimization method and modified Nelder-Mead's Simplex method as local optimization method. This FE model updating method using HGA does not need the derivation of derivative function related to parameters and without application of complicated inverse analysis methods. In order to allow its application on diversified and complex structures, a commercial FEA tool is adopted to exploit previously developed element library and analysis algorithms. Moreover, an output-level objective function making use of measurement and analytical results is also presented to update simultaneously the stiffness and mass of the analysis model. The numerical examples demonstrated that the proposed method based on HGA is effective for the updating of the FE model of bridge structures.

Keywords

References

  1. ABAQUS. (2007), ABAQUS User’s Manual, ABAQUS, Inc
  2. Allemang, R.J. and Brown, L.D. (1982), "A correlation coefficient for modal vector analysis", Proc. of the 1st IMAC, Society for Experimental Mechanics, Orlando, Florida, 110-116
  3. Barton, R.R. and Ivey, J.S. (1996), "Nelder-mead simplex modifications for simulation optimization", Manage. Sci., 42(7), 954-973 https://doi.org/10.1287/mnsc.42.7.954
  4. Baruch, M. and Bar-Itzhack, I.Y. (1978), "Optimal weighted orthogonalization of measured modes", AIAA J.,16(4), 346-351 https://doi.org/10.2514/3.60896
  5. Box, M.J. (1965), "A new method of constrained optimization and a comparison with other methods", Comouter J., 8(1), 42-52 https://doi.org/10.1093/comjnl/8.1.42
  6. Chen, J.C. and Garba, J. (1980), "Analytical model improvement using modal test results", AIAA J., 18(6), 684-690 https://doi.org/10.2514/3.50805
  7. Collins, J.D., Hartm G.C., Hasselman, T.K. and Kennedy, B. (1974), "Statistical identification of structures", AIAA J., 12(2), 185-190 https://doi.org/10.2514/3.49190
  8. Dennis, J.E.J. and Woods, D.J. (1987), "New computing environments: Microcomputers in large-scale computing", SIAM, 116-122
  9. Farhat, C. and Hemez, F.M. (1993), "Updating finite element dynamic models using an element-by-element sensitivity methodology", AIAA J., 31, 1702-1711 https://doi.org/10.2514/3.11833
  10. Friswell, M.I. and Mottershead, J.E. (1995), Finite Element Model Updating in Structural Dynamics, Kluwer Academic Publishers, Boston
  11. Friswell, M.I. and Mottershead, J.E. (1998), "Best practice in finite element model updating", Int. Forum Aeroelasticity Struct. Dyn., 2, 57-1-11
  12. Fritzen, C.P., Jennewein, D. and Kiefer, T. (1998), "Damage detection based on model updating methods", Mech. Syst. Signal Process., 12, 163-186 https://doi.org/10.1006/mssp.1997.0139
  13. Goldberg, D.E. (1989), Genetic Algorithms in Search, Optimization & Machine Learning, Addison-Wesley, Boston
  14. Hao, H. and Xia, Y. (2002), "Vibration-based damage detection of structures by genetic algorithm", J. Comput. Civil Eng., 16(3), 222-229 https://doi.org/10.1061/(ASCE)0887-3801(2002)16:3(222)
  15. Holland, J.H. (1975), Adaptation in Natural and Artificial Systems. Ann Arbor: University of Michigan Press
  16. Imregun, M. and Visser, W.J. (1991), "A review of model updating techniques", Shock Vib. Dig., 23(1), 9-20 https://doi.org/10.1177/058310249102300102
  17. Imregun, M., Sanliturk, K.Y. and Ewins, D.J. (1995b), "Finite element model updating using frequency response function data—II: Case study on a medium size finite element model", Mech. Syst. Signal Process, 9(2), 203-213 https://doi.org/10.1006/mssp.1995.0016
  18. Imregun, M., Visser, W.J. and Ewins, D.J. (1995a), "Finite element model updating using frequency response function data—I: Theory and initial investigation", Mech. Syst. Signal Process, 9(2), 187-202 https://doi.org/10.1006/mssp.1995.0015
  19. Jaishi, B. and Ren, W.X. (2006), "Damage detection by finite element model updating using modal flexibility residual", J. Sound Vib., 290, 369-387 https://doi.org/10.1016/j.jsv.2005.04.006
  20. Kim, G.H. and Park, Y.S. (2004), "An improved updating parameter selection method and finite element model update using multi-objective optimization technique", Mech. Syst. Signal Process, 18(1), 59-78 https://doi.org/10.1016/S0888-3270(03)00042-6
  21. Kim, K.O., Anderson, W.J. and Sandstorm, R.E. (1983), "Non-linear inverse perturbation method in dynamic analysis", AIAA J., 21(9), 1310-1316 https://doi.org/10.2514/3.8245
  22. Kripakaran, P. and Smith, I.F.C. (2008), "Damage identification in truss bridges using multiple models", Intelligent Computing in Engineering - ICE08, 177-187
  23. Kwon, S.J. (2006), Determination of Optimal Accelerometer Locations in Frequency Domain and Time Domain with Verification by SI Methods, Ph.D. Dissertation, Department of Civil Engineering, Inha University, Korea
  24. Levin, R.I. and Lieven, N.A.J. (1998a), “Dynamic finite element model updating using neural networks”, J. Sound Vib., 210(5), 593-607 https://doi.org/10.1006/jsvi.1997.1364
  25. Levin, R.I. and Lieven, N.A.J. (1998b), 'Dynamic finite element model updating using simulated annealing and genetic algorithms", Mech. Syst. Signal Process., 12(1), 91-120 https://doi.org/10.1006/mssp.1996.0136
  26. Lin, R.M., Lim, M.K. and Du, H. (1995), "Improved inverse eigensensitivity method for structural analytical model updating". J. Vib. Acoust., 117, 192-198 https://doi.org/10.1115/1.2873889
  27. Maia, N.M.M. and Silva, J.M.M. (1997), Theoretical and Experimental Modal Analysis, Research Studies Press, Baldock, UK
  28. 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
  29. Modak, S.V. and Kundra, T.K. (2000), "Model updating using constrained optimization", Mech. Res. Commun.,27, 543-551 https://doi.org/10.1016/S0093-6413(00)00128-2
  30. Mottershead, J.E. and Friswell, M.I. (1993), "Model updating in structural dynamics: A survery", J. Sound Vib.,167(2), 347-375 https://doi.org/10.1006/jsvi.1993.1340
  31. Nelder, J.A. and Mead, R.A. (1965), "Simplex method for function minimization". Comput. J., 7, 308-311 https://doi.org/10.1093/comjnl/7.4.308
  32. Rad, S.Z. (1997), Methods for Updating Numerical Models in Structural Dynamics, Ph.D. Dissertation, Department of Mechanical Engineering, University of London, England
  33. Rafiq, M.Y., Sui, C., Zhou, G.C., Easterbrook, D.J. and Bugmann, G. (2005), "Using Artificial Intelligence Techniques to Predict the Behaviour of Masonry Panels", Proceedings of the Eighth International, Civil-Comp Rress, Stirling, Scotland
  34. Raphael B. and Smith I.F.C. (2003), "A direct stochastic algorithm for global search", J. Appl. Math. Comput., 146, 729-758 https://doi.org/10.1016/S0096-3003(02)00629-X
  35. Saitta, S., Raphael, B. and Smith, I.F.C. (2005), "Data mining techniques for improving the reliability of system identification", Adv. Eng. Informatics, 19, 289-298 https://doi.org/10.1016/j.aei.2005.07.005
  36. Sidhu, J. and Ewins, D.J. (1984), "Correlation of finite element and modal test studies of a practical structure", Proceedings of 2nd International Modal Analysis Conference, Florida, USA, 756-762
  37. The Mathworks. (2006), MATLAB&SIMULINK User’s Guide: MATLAB Release 2006, The Mathworks, Inc
  38. Waters, T.P. (1995), Finite Element Model Updating Using Measured Frequency Response Functions, Ph.D. Thesis, Dept. of Aerospace Engineering, University of Bristol, England
  39. Wu, J.R. and Li, Q.S. (2006), "Structural parameter identification and damage detection for a steel structure using a two-stage finite element model updating method", J. Constr. Steel Res., 62, 231-239 https://doi.org/10.1016/j.jcsr.2005.07.003
  40. Yang, B.S., Choi, S.P. and Kim, Y.C. (2005), "Vibration reduction optimum design of a steam-turbine rotorbearing systems using a hybrid genetic algorithm", Struct. Multidiscip. O., 30, 43-53 https://doi.org/10.1007/s00158-004-0513-x
  41. Zhu, H. and Hao, X. (2006), "Comparison of Analytical Approaches to Structural Model Updating Using Modal Test Data", Earth & Space 2006: Engineering, Construction, and Operation in Challenging, ASCE Conference Proceedings, 1-8 https://doi.org/10.1061/40830(188)138
  42. Zimmerman, D.C., Yap, K. and Hasselman, T. (1999), "Evolutionary approach for model refinement", Mech. Syst. Signal Process, 13, 609-625 https://doi.org/10.1006/mssp.1998.1205

Cited by

  1. An online optimization method for bridge dynamic hybrid simulations vol.28, 2012, https://doi.org/10.1016/j.simpat.2012.06.002
  2. Finite element model updating of a simply supported skewed PSC I-girder bridge using Hybrid Genetic Algorithm vol.17, pp.3, 2013, https://doi.org/10.1007/s12205-013-0599-z
  3. Robust finite element model updating of a large-scale benchmark building structure vol.43, pp.3, 2012, https://doi.org/10.12989/sem.2012.43.3.371
  4. Finite element model updating on small-scale bridge model using the hybrid genetic algorithm vol.9, pp.5, 2009, https://doi.org/10.1080/15732479.2011.564635
  5. Probabilistic Updating of Structural Models for Damage Assessment Using Approximate Bayesian Computation vol.20, pp.11, 2009, https://doi.org/10.3390/s20113197