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Model Updating of Nonlinear Structures

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Nonlinear Dynamics, Volume 2

Abstract

There are always certain discrepancies between modal data of a structure obtained from its mathematical model and experimentally measured ones. Therefore it is a general practice to update the theoretical model by using experimental measurements in order to have a more accurate model. Since in several real life engineering problems there exist structural nonlinearities, model updating of nonlinear structures come into prominence. To be able to apply one of the well-established model updating methods, the linear FRFs of a nonlinear structure are to be measured. Although it may be possible to obtain linear FRFs of a nonlinear structure experimentally with a certain approximation by using low level forcing in FRF measurement, when there is frictional type of nonlinearity, this is not possible. In this study a model updating method for nonlinear structures is proposed. A noble method developed recently by the authors to obtain linear FRFs of nonlinear structures having multiple nonlinearities including friction type of nonlinearity is used in the nonlinear model updating approach proposed. The method is validated by applying the method developed to a nonlinear test system.

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References

  1. Sidhu J, Ewins DJ (1984) Correlation of finite element and modal test studies of a practical structure. In: Proceedings of the 2nd international modal analysis conference, Orlando, FL, pp 756–762

    Google Scholar 

  2. Dascotte E, Vanhonacker P (1989) Development of an automatic mathematical model updating program. In: Proceedings of the 7th international modal analysis conference, Las Vegas, NV, pp 596–602

    Google Scholar 

  3. Brughmans M, Lembregts F (1990) Using experimental normal modes for analytical model updating. In: Proceedings of the 8th international modal analysis conference, Kissimmee, FL, pp 389–396

    Google Scholar 

  4. Nalitolela NG, Penny JET, Friswell MI (1990) Updating structural parameters of a finite element model by adding mass or stiffness to the system. In: Proceedings of the 8th international modal analysis conference, Kissimmee, FL, pp 836–842

    Google Scholar 

  5. Roy NA, Girard A, Dupuis PE (1991) A direct energy approach for updating dynamic finite element models. In: Proceedings of the 9th international modal analysis conference, Florence, Italy, pp 51–57

    Google Scholar 

  6. Visser WJ, Imregun M (1991) A technique to update finite element models using frequency response data. In: Proceedings of the 9th international modal analysis conference, Florence, Italy, pp 462–469

    Google Scholar 

  7. Brughmans M, Hrycko G, Wyzykowski J (1991) Application of FEM model correlation and updating techniques on an aircraft using test data of a ground vibration survey. In: Proceedings of the 9th international modal analysis conference, Florence, Italy, pp 517–525

    Google Scholar 

  8. Ibrahim SR, D’Ambrogio W, Salvani P, Sestieri AJ (1992) Direct updating of nonconservative finite element models measured input–output. In: Proceedings of the 10th international modal analysis conference, San Diego, CA, pp 202–210

    Google Scholar 

  9. Link M, Zhang L (1992) Experience with different procedures for updating structural parameters of analytical models using test data. In: Proceedings of the 10th international modal analysis conference, San Diego, CA, pp 730–738

    Google Scholar 

  10. Jung H, Ewins DJ (1992) Error sensitivity of the inverse eigensensitivity method for model updating. In: Proceedings of the 10th international modal analysis conference, San Diego, CA, pp 1051–1056

    Google Scholar 

  11. Aiad A, Level P, Ravalard Y (1992) A global updating procedure to improve finite elements models. In: Proceedings of the 10th international modal analysis conference, San Diego, CA, pp 992–998

    Google Scholar 

  12. Miccoli G, Agostoni F (1993) Modal updating using sensitivity analysis. In: Proceedings of the 11th international modal analysis conference, Kissimmee, FL, pp 683–689

    Google Scholar 

  13. Luber W, Sensburg O (1995) Identification of errors and updating in analytical models using test data. In: Proceedings of the 13th international modal analysis conference, Nashville, TN, pp 407–413

    Google Scholar 

  14. Dascotte E, Strobbe J, Hua H (1995) Sensitivity based model updating using multiple types of simultaneous state variables. In: Proceedings of the 13th international modal analysis conference, Nashville, TN, pp 1035–1040

    Google Scholar 

  15. Hemez FM (1996) Advanced tools for updating damped finite element models using static modal and flexibility data. In: Proceedings of the 14th international modal analysis conference, Dearborn, MI, pp 511–517

    Google Scholar 

  16. Lindholm BE (1996) A Bayesian statistics approach to updating finite element models with frequency response data (part II: application). In: Proceedings of the 14th international modal analysis conference, Dearborn, MI, pp 1458–1465

    Google Scholar 

  17. Lenoir D, Cogan S, Lallement G, Bricout JN (1998) Model updating by modal synthesis of experimental forced responses. In: Proceedings of the 16th international modal analysis conference, Santa Barbara, CA, pp 399–405

    Google Scholar 

  18. Mottershead JE, Mares C, Friswell MI, James S (2000) Model updating of an aluminium space-frame using different parameter sets. In: Proceedings of the 18th international modal analysis conference, San Antonio, TX, pp 576–583

    Google Scholar 

  19. Jung DS, Kim CY, Kang JH (2007) Hybrid optimization technique based on GA-NMS for FE model updating. In: Proceedings of the 25th international modal analysis conference, Orlando, FL

    Google Scholar 

  20. Kozak MT, Cömert MD, Özgüven HN (2007) Model updating routine based on the minimization of a new frequency response based index for error localization. In: Proceedings of the 25th international modal analysis conference, Orlando, FL, pp 84–95

    Google Scholar 

  21. Boulkaibet I, Mthembu L, Marwala T, Friswell MI, Adhikari S (2013) Finite element model updating using the shadow hybrid Monte Carlo technique. In: Proceedings of the 31th international modal analysis conference, Orange County, CA

    Google Scholar 

  22. Hasselman TK, Anderson MC, Gan W (1998) Principal components analysis for nonlinear model correlation, updating and uncertainty evaluation. In: Proceedings of the 16th international modal analysis conference, Santa Barbara, CA, pp 644–651

    Google Scholar 

  23. Anderson MC, Carne TG (1999) Model correlation and updating of a nonlinear finite element model using crush test data. In: Proceedings of the 17th international modal analysis conference, Kissimmee, FL, pp 1511–1517

    Google Scholar 

  24. Anderson MC, Hasselman TK (2000) Minimizing parameter correlation in nonlinear model updating. In: Proceedings of the 18th international modal analysis conference, San Antonio, TX, pp 109–115

    Google Scholar 

  25. Burton TD, Hemez FM, Rhee W (2000) Combined model reduction/SVD approach to nonlinear model updating. In: Proceedings of the 18th international modal analysis conference, San Antonio, TX, pp 116–123

    Google Scholar 

  26. Zhang L, Guo Q (2007) A case study of model updating and validation of a frame structure with highly non-linear component. In: Proceedings of the 25th international modal analysis conference, Orlando, FL

    Google Scholar 

  27. Silva SD, Cogan S, Foltete E, Buffe F (2008) Metrics for non-linear model updating in mechanical systems. In: Proceedings of the 26th international modal analysis conference, Orlando, FL

    Google Scholar 

  28. Kerschen G, Worden K, Vakakis AF, Golinval JC (2006) Past, present and future of nonlinear system identification in structural dynamics. Mech Syst Signal Process 20:505–592

    Article  Google Scholar 

  29. Canbaloglu G, Özgüven HN (2013) Obtaining linear FRFs for model updating in structures with multiple nonlinearities including friction. In: Topics in nonlinear dynamics, volume 1: proceedings of the 31st IMAC, a conference on structural dynamics, pp 145–157

    Google Scholar 

  30. Budak E, Özgüven HN (1990) A method for harmonic responses of structures with symmetrical nonlinearities. In: Proceedings of the 15th international seminar on modal analysis and structural dynamics, vol 2, Leuven, Belgium, pp 901–915, 17–21 Sept 1990

    Google Scholar 

  31. Budak E, Özgüven HN (1993) Iterative receptance method for determining harmonic response of structures with symmetrical non-linearities. Mech Syst Signal Process 7(1):75–87

    Article  Google Scholar 

  32. Tanrıkulu Ö, Kuran B, Özgüven HN, Imregün M (1993) Forced harmonic response analysis of non-linear structures using describing functions. AIAA J 31(7):1313–1320

    Article  MATH  Google Scholar 

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Correspondence to Güvenç Canbaloğlu .

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© 2014 The Society for Experimental Mechanics, Inc.

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Canbaloğlu, G., Özgüven, H.N. (2014). Model Updating of Nonlinear Structures. In: Kerschen, G. (eds) Nonlinear Dynamics, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-04522-1_7

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  • DOI: https://doi.org/10.1007/978-3-319-04522-1_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-04521-4

  • Online ISBN: 978-3-319-04522-1

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