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Fuzzy finite element model updating of bridges by considering the uncertainty of the measured modal parameters

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Abstract

It is significant to consider the effect of uncertainty of the measured modal parameters on the updated finite element (FE) model, especially for updating the FE model of practical bridges, since the uncertainty of the measured modal parameters cannot be ignored owing to the application of output-only identification method and the existence of the measured noise. A reasonable method is to define the objective of the FE model updating as the statistical property of the measured modal parameters obtained by conducting couples of identical modal tests, however, it is usually impossible to implement repeated modal test due to the limit of practical situation and economic reason. In this study, a method based on fuzzy finite element (FFM) was proposed in order to consider the effect of the uncertainty of the measured modal parameters on the updated FE model by using the results of a single modal test. The updating parameters of bridges were deemed as fuzzy variables, and then the fuzz-ification of objective of the FE model updating was proposed to consider the uncertainty of the measured modal parameters. Finally, the effectiveness of the proposed method was verified by updating the FE model of a practical bridge with the measured modal parameters.

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References

  1. Mottershead J E, Friswell M I. Model updating in structural dynamics: A survey. J Sound Vib, 1993, 167: 347–375

    Article  MATH  Google Scholar 

  2. Friswell M I, Mottershead J E. Finite Element Model Updating in Structural Dynamics. London: Kluwer Academic Publishers, 1995

    MATH  Google Scholar 

  3. Zhang X M. A best matrix approximation method for updating the analytical model. J Sound Vib, 1999, 223(5): 759–74375

    Article  Google Scholar 

  4. Govers Y, Link M. Stochastic model updating—Covariance matrix adjustment from uncertain experimental modal data. Mech Syst Signal Proc, 2010, 24: 696–706

    Article  Google Scholar 

  5. Mares C, Mottershead J, Friswell M. Stochastic model updating: Part1—Theory and simulated example. Mech Syst Signal Proc, 2006, 20(7): 1674–1695

    Article  Google Scholar 

  6. Mottershead J, Mares C, Friswell M I. Stochastic model updating: Part 2—Application to a set of physical structures. Mech Syst Signal Proc, 2006, 208): 2171–2185

    Article  Google Scholar 

  7. Goller B, Broggi M, James S, et al. A stochastic model updating technique for complex aerospace structures. Finite Elem Anal Des 2011, 47: 739–752

    Article  Google Scholar 

  8. Valliappan S, Pham T. Fuzzy finite element analysis of a foundation on an elastic soil medium. Int J Numer, Anal Methods Geomech, 1993, 17(11): 771–789

    Article  MathSciNet  MATH  Google Scholar 

  9. Wasfy T, Noor A. Application of fuzzy sets to transient analysis of space structures. Finite Elem Anal, 1998, 29: 153–171

    Article  MATH  Google Scholar 

  10. Moens D, Vandepitte D. Fuzzy finite element method for frequency response function analysis of uncertain structures. AIAA J, 2007, 40(1): 126–136

    Article  Google Scholar 

  11. Fetz T, Jäger J, Köll D, et al. Fuzzy models in geotechnical engineering and construction management. Comput-Aided Civ Inf Eng, 1999, 14: 93–106

    Article  Google Scholar 

  12. Akpan U, Koko T, Orisamolu I, et al. Fuzzy finite element analysis of smart structures. Smart Mater Struct, 2001, 10: 273–284

    Article  Google Scholar 

  13. Ait-Salem Duque O, Senin A R, Stenti C, et al. A methodology for the choice of the initial conditions in the model updating of welded joints using the fuzzy finite element method. Comput Struct, 2007, 85: 1534–1546

    Article  Google Scholar 

  14. Khodaparast H H, Mottershead J E, Badcock K J. Interval model up-dating with irreducible uncertainty using the Kriging predictor. Mech Syst Signal Proc, 2011, 25(4): 1204–1226

    Article  Google Scholar 

  15. Jones S W, Kerby P A, Nethercot D A. Columns with semi-rigid joints. J Struct Eng, 1982, 108: 361–372

    Google Scholar 

  16. Lee S, Moon T. Moment-rotation model of semi-rigid connections with angles. Eng Struct, 2002, 24: 227–237

    Article  Google Scholar 

  17. Rao S, Sawyer P. Fuzzy finite element approach for the analysis of imprecisely defined systems. AIAA J, 1995, 33(12): 2364–2370

    Article  MATH  Google Scholar 

  18. Chen L, Rao S. Fuzzy finite-element approach for the vibration analysis of imprecisely-defined systems. Finite Elem Anal Des, 1997, 27: 69–83

    Article  MATH  Google Scholar 

  19. Muhanna R, Mullen R. Formulation of fuzzy finite element methods for solid mechanics problems. Comput-Aided Civ Inf, 1999, 14(2): 107–117

    Article  Google Scholar 

  20. Moens D, Vandepitte D. A fuzzy finite element procedure for the calculation of uncertain frequency-response functions of damped structures: Part 1—Procedure. J Sound Vib, 2005, 288: 431–462

    Article  Google Scholar 

  21. Moens D, Vandepitte D. A survey of non-probabilistic uncertainty treatment in finite element analysis. Comput Method Appl Mech Eng, 2005, 194(14–16): 1527–1555

    Article  MATH  Google Scholar 

  22. Xiao S X, Wang P Y, Lu E L. Fuzzy Theory and Its Application in Civil and Hydraulic Engineering (in Chinese). China Communications Press, 2004

  23. Qiu Z P, Hu J X, Yang J L, et al. Exact bounds for the sensitivity analysis of structures with uncertain-but-bounded parameters. Appl Math Model, 2008, 32: 1143–1157

    Article  MathSciNet  MATH  Google Scholar 

  24. Teughels A, Roeck G D, Suykens J A K. Global optimization by coupled minimizers and its application to finite element model updating. Comput Struct, 2003, 81: 2337–2351

    Article  Google Scholar 

  25. Juang J N, Pappa R S. An eigensystem realization algorithm for modal parameter identification and model reduction. J Guid, 1985, 8(5): 620–627

    Article  MATH  Google Scholar 

  26. Brincker R, Zhang L, Andersen P. Modal identification from ambient responses using frequency domain decomposition. Proceedings of the 18th International Modal Analysis Conference (IMAC), San Antonio, Texas, 1998

  27. Duan Z D, Liu Y, Spencer B F. Finite element model updating of structures using a hybrid optimization technique. Proceedings of SPIE v 5765, n PART 1, Smart Structures and Materials 2005—Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems, San Diego, 2005. 335–344

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Authors and Affiliations

  1. School of Transportation Science and Engineering, Harbin Institute of Technology, Harbin, 150090, China

    Yang Liu

  2. Harbin Institute of Technology Shenzhen Graduate School, Shenzhen, 5180553, China

    ZhongDong Duan

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  1. Yang Liu
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  2. ZhongDong Duan
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Correspondence to Yang Liu.

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Liu, Y., Duan, Z. Fuzzy finite element model updating of bridges by considering the uncertainty of the measured modal parameters. Sci. China Technol. Sci. 55, 3109–3117 (2012). https://doi.org/10.1007/s11431-012-5009-0

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  • DOI: https://doi.org/10.1007/s11431-012-5009-0

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