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A two-stage damage detection approach based on subset selection and genetic algorithms

  • Yun, Gun Jin (Department of Civil Engineering, University of Akron) ;
  • Ogorzalek, Kenneth A. (Department of Civil Engineering, University of Wisconsin-Milwaukee) ;
  • Dyke, Shirley J. (Department of Mechanical, Aerospace and Structural Engineering, Washington University) ;
  • Song, Wei (Department of Mechanical, Aerospace and Structural Engineering, Washington University)
  • Received : 2007.10.31
  • Accepted : 2008.09.11
  • Published : 2009.01.25

Abstract

A two-stage damage detection method is proposed and demonstrated for structural health monitoring. In the first stage, the subset selection method is applied for the identification of the multiple damage locations. In the second stage, the damage severities of the identified damaged elements are determined applying SSGA to solve the optimization problem. In this method, the sensitivities of residual force vectors with respect to damage parameters are employed for the subset selection process. This approach is particularly efficient in detecting multiple damage locations. The SEREP is applied as needed to expand the identified mode shapes while using a limited number of sensors. Uncertainties in the stiffness of the elements are also considered as a source of modeling errors to investigate their effects on the performance of the proposed method in detecting damage in real-life structures. Through a series of illustrative examples, the proposed two-stage damage detection method is demonstrated to be a reliable tool for identifying and quantifying multiple damage locations within diverse structural systems.

Keywords

References

  1. Bernal, D. (2002), "Load vectors for damage localization", J. Eng. Mech. ASCE, 128(1), 7-14. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:1(7)
  2. Doebling, S. W., Farrar, C. R. and Prime, M. B. (1998), "A summary review of vibration-based damage identification methods", The Shock Vib. Digest, 30(2), 91-105. https://doi.org/10.1177/058310249803000201
  3. Duan, Z. D., Yan, G. R., Ou, J. P. and Spencer, B. F. (2007), "Damage detection in ambient vibration using proportional flexibility matrix with incomplete measured DOFs", Struct. Control. Health Monit., 14(2), 186-196. https://doi.org/10.1002/stc.149
  4. Efroymson, M. A., Multiple Regression Analysis, in Mathematical Methods for Digital Computers. 1960, John Wiley: New York.
  5. Fox, R. L. and Kapoop, M. P. (1968), "Rates of change of eigenvalues and eigenvectors", AIAA J., 6(12), 2426-2429. https://doi.org/10.2514/3.5008
  6. Friswell, M. I. (2007), "Damage identification using inverse methods", Philosophical Transactions of the Royal Society a-Mathematical Physical and Engineering Sciences, 365(1851), 393-410. https://doi.org/10.1098/rsta.2006.1930
  7. Friswell, M. I. and Mottershead, J. E. (1995), Finite Element Model Updating in Structural Dynamics. Norwell, MA: Kluwer Academic.
  8. Friswell, M. I., Penny, J. E. T. and Garvey, S. D. (1997), "Parameter subset selection in damage location", Inverse Problems in Eng., 5(3), 189-215. https://doi.org/10.1080/174159797088027660
  9. Friswell, M. I., Penny, J. E. T. and Garvey, S. D. (1998), "A combined genetic and eigensensitivity algorithm for the location of damage in structures", Comput. Struct., 69(5), 547-556. https://doi.org/10.1016/S0045-7949(98)00125-4
  10. Giraldo, D., A Structural Health Monitoring Framework for Civil Structures, in Department of Civil Engineering. 2006, Washington University in St. Louis: St. Louis MO.
  11. Goldberg, D. E. (1989), Genetic Algorithms in Search Optimization and Machine Learning. New York: Addison-Wesley.
  12. Holland, J. H. (1975), Adaptation in Natural and Artificial Systems. Ann Arbor, MI: University of Michigan.
  13. Hu, N., Wang, X., Fukunaga, H., Yao, Z. H., Zhang, H. X. and Wu, Z. S. (2001), "Damage assessment of structures using modal test data", Int. J. Solid. Struct., 38(18), 3111-3126. https://doi.org/10.1016/S0020-7683(00)00292-4
  14. Kim, J. T., Park, J. H., Yoon, H. S. and Yi, J. H. (2007), "Vibration-based damage detection in beams using genetic algorithm", Smart Struct. Syst., 3(3), 263-280. https://doi.org/10.12989/sss.2007.3.3.263
  15. Lallement, G. and Piranda, J. (1990), "Localization methods for parameter updating of finite element models in elastodynamics", 8th International Modal Analysis Conference. Orlando, Florida.
  16. Miller, A. J. (1996), "The convergence of Efroymson's stepwise regression algorithm", American Statistician, 50(2), 180-181.
  17. Moslem, K. and Nafaspour, R. (2002), "Structural damage detection by genetic algorithms", AIAA J., 40(7), 1395-1401. https://doi.org/10.2514/2.1800
  18. 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
  19. Rao, M. A., Srinivas, J. and Murthy, B. S. N. (2004), "Damage detection in vibrating bodies using genetic algorithms", Comput. Struct., 82(11-12), 963-968. https://doi.org/10.1016/j.compstruc.2004.01.005
  20. Song, W., Dyke, S. J. and Yun, G. J. (2007a), "FE model updating for structural damage localization and quantification in high-dimension SHM problem", The 6th International Workshop on Structural Health Monitoring. Stanford University.
  21. Song, W., Dyke, S. J., Yun, G. J. and Harmon, T. G. (2007b), "Improved damage localization and quantification using subset selection", J. Eng. Mech., ASCE, Submitted in 2007.
  22. Syswerda, G. (1991), "A study of reproduction in generational and steady state genetic algorithms", Proceedings of Foundations of Genetic Algorithms Conference. Morgan Kaufmann.
  23. Teughels, A., Maeck, J. and De Roeck, G. (2002), "Damage assessment by FE model updating using damage functions", Comput. Struct., 80(25), 1869-1879. https://doi.org/10.1016/S0045-7949(02)00217-1
  24. Titurus, B., Friswell, M. I. and Starek, L. (2003), "Damage detection using generic elements: Part II. damage detection", Comput. Struct., 81(24-25), 2287-2299. https://doi.org/10.1016/S0045-7949(03)00318-3
  25. Toksoy, T. and Aktan, A. E. (1994), "Bridge-condition assessment by modal flexibility", Experimental Mech., 34(3), 271-278. https://doi.org/10.1007/BF02319765
  26. Whitley, D. (1989), "The GENITOR algorithm and selection pressure: why rank-based allocation of reproductive trials is best", Proceedings Third International Conference of Genetic Algorithm. San Mateo, CA.
  27. Yun, G. J., Ogorzalek, K. A., Dyke, S. J. and Song, W. (2008), "A parameter subset selection method using residual force vector for detecting multiple damage location", Struct. Control. Health Monit., In Press DOI:10.1002/stc.284.

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