Skip to main content

Nonlinear Finite Element Model Updating of a Large-Scale Infilled Frame Structures Based on Instantaneous Modal Parameters

  • Conference paper
  • First Online:
Topics in Nonlinear Dynamics, Volume 1

Abstract

While linear finite element (FE) model updating has been successfully applied for predicting structural damage as loss of effective stiffness, nonlinear FE model updating can provide improved and more accurate damage identification (i.e., a more comprehensive measure of damage) and can additionally be used as a tool for damage prognosis. The current study is focused on characterizing the nonlinear material behavior in a FE model of a three-story infilled frame using the identified instantaneous natural frequencies and mode shapes. The 2/3-scale, 3-story, 2-bay reinforced concrete frame with masonry infills was subjected to large amplitude earthquake base excitations on a shake table. The deterministic stochastic subspace identification method is used for estimating the instantaneous (during short-time windows) modal parameters of the structure based on the nonlinear response of structure during a seismic base excitation. Parameters of a priori selected hysteretic models (Bouc-Wen) at different finite elements of the structural model are calibrated to minimize the misfit between the identified modal parameters and those from the FE model. The accuracy of the calibrated FE model is assessed through the comparison of the predicted response and natural frequencies obtained from the model with those of the specimen.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Doebling SW, Farrar CR, Prime MB, Shevitz DW (1996) Damage identification in structures and mechanical systems based on changes in their vibration characteristics: a detailed literature survey. Los Alamos National Laboratory Report, LA-13070-MS, Los Alamos

    Google Scholar 

  2. Teughels A, De Roeck G (2005) Damage detection and parameter identification by finite element model updating. Arch Comput Methods Eng 12(2):123–164

    Article  MATH  Google Scholar 

  3. Moaveni B, He X, Conte JP, De Callafon RA (2008) Damage identification of a composite beam using finite element model updating. J Comput Aided Civil Infrastruct Eng 23(5):339–359

    Article  Google Scholar 

  4. Moaveni B, He X, Conte JP, Restrepo JI (2010) Damage identification study of a seven-story full-scale building slice tested on the UCSD-NEES shake table. Struct Saf 32(5):347–356

    Article  Google Scholar 

  5. Distefano N, Rath A (1974) Sequential identification of hysteretic and viscous models in structural seismic dynamics. Comput Methods Appl Mech Eng 6:219–232

    Article  Google Scholar 

  6. Distefano N, Rath A (1975) System identification in nonlinear structural seismic dynamics.Comput Methods Appl Mech Eng 5(3):353–372

    Article  MATH  Google Scholar 

  7. Hoshiya M, Saito E (1984) Structural identification by extended Kalman filter. J Eng Mech 110(12):1757–1770

    Article  Google Scholar 

  8. Lin JS, Zhang Y(1994) Nonlinear structural identification using extended Kalman filter. Comput Struct 52(4) 757–764

    Article  MathSciNet  MATH  Google Scholar 

  9. Wu M, Smyth AW (2007) Application of unscented Kalman filter for real-time nonlinear structural system identification. J Struct Control Health Monit. doi:10.1002/stc.186, Published online in Wiley Inter Science

    Google Scholar 

  10. Mariani S, Ghisi A (2007) Unscented Kalman filtering for nonlinear structural dynamics. Nonlinear Dyn 49:131–150

    Article  MATH  Google Scholar 

  11. Chatzi E, Smyth A (2009) The unscented Kalman filter and particle filter methods for nonlinear structural system identification with non-collocated heterogeneous sensing. Struct Control Health Monit 16:99–123

    Article  Google Scholar 

  12. Van Overschee P, De Moore B (1996) Subspace identification for linear systems. Kluwer Academic, Norwell

    Book  MATH  Google Scholar 

  13. Moaveni B, Asgarieh E (2012) Deterministic-stochastic subspace identification method for identification of nonlinear structures as time-varying linear systems. Mech Syst Signal Process 31:40–45

    Article  Google Scholar 

  14. Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simulated annealing. Science 220(4598):671–680

    Article  MathSciNet  MATH  Google Scholar 

  15. Stavridis A, Koutromanos I, Shing PB (2012) Shake-table tests of a three-story reinforced concrete frame with masonry infill walls. Earthq Eng Struct Dyn 41:1089–1108. doi:10.1002/eqe.1174

    Article  Google Scholar 

  16. Stavridis A. (2009) Analytical and experimental study of seismic performance of reinforced concrete frames infilled with masonry walls. Ph.D. thesis, University of California, San Diego

    Google Scholar 

  17. Mazzoni S, Scott MH, McKenna F, Fenves GL et al (2006) Open system for earthquake engineering simulation – user manual (version 1.7.3). Pacific Earthquake Engineering Research Center, University of California, Berkeley

    Google Scholar 

  18. Ismail M, Ikhouane F, Rodellar J (2009) The hysteresis Bouc-Wen model, a survey. Arch Comput Methods Eng 16:161–188

    Article  MATH  Google Scholar 

  19. Ikhouane F, Hurtado JE, Rodellar J (2007) Variation of the hysteresis loop with the Bouc-Wen model parameters. Nonlinear Dyn 48(4):361–380

    Article  MathSciNet  MATH  Google Scholar 

  20. Ma F, Zhang H, Bockstedte A, Foliente GC, Paevere P (2004) Parameter analysis of the differential model of hysteresis. J Appl Mech 71(3):342–349

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Babak Moaveni .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 The Society for Experimental Mechanics, Inc.

About this paper

Cite this paper

Asgarieh, E., Moaveni, B., Stavridis, A. (2013). Nonlinear Finite Element Model Updating of a Large-Scale Infilled Frame Structures Based on Instantaneous Modal Parameters. In: Kerschen, G., Adams, D., Carrella, A. (eds) Topics in Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series, vol 35. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6570-6_7

Download citation

  • DOI: https://doi.org/10.1007/978-1-4614-6570-6_7

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-6569-0

  • Online ISBN: 978-1-4614-6570-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics