Finite Element Model Updating Using the Local Correspondence Principle

  • Sandro Amador
  • Martin Juul
  • Tobias Friis
  • Rune Brincker
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)


In this, paper an overview of a Finite Element (FE) model updating technique based on the Local Correspondence (LC) principle is presented. The main idea behind the LC technique is to update the FE model by replacing the mode shape vectors and natural frequencies with their corresponding experimental counterparts obtained from an output-only modal testing. This is accomplished by taking advantage of the fact that the inverse mass and stiffness matrices can be expressed as a linear combination of outer products of the mode shape vectors. Aiming at discussing the LC technique from a practical perspective, a simulation study is presented to illustrate its ability to improve the Maximum Assurance Criterion (MAC) between the FE and experimental mode shape vectors so that it gets close to unity.



The authors acknowledge the funding received from Centre for Oil and Gas – DTU/Danish Hydrocarbon Research and Technology Centre (DHRTC).


  1. 1.
    Mottershead, J.E., Friswell, M.I.: Model updating in structural dynamics: a survey. J. Sound Vib. 167(2), 347–375 (1993)CrossRefGoogle Scholar
  2. 2.
    Friswell, M.I., Mottershead, J.E.: Finite Element Model in Structural Dynamics. Klwer Academic Publishers, Boston (1995)CrossRefGoogle Scholar
  3. 3.
    Zarate, B.A., Caicedo, J.M.: Finite element model updating: multiple alternatives. Eng. Struct. 30(12), 3724–3730 (2008)CrossRefGoogle Scholar
  4. 4.
    Zhang, Q.W., Chang, C.C., Chang, T.Y.P.: Finite element model updating for structures with parametric constraints. Earthq. Eng. Struct. Dyn. 29(7), 927–944 (2000)CrossRefGoogle Scholar
  5. 5.
    Mottershead, J.E., Link, M., Friswell, M.I.: The sensitivity method in finite element model updating: a tutorial. Mech. Syst. Signal Process. 25(7), 2275–2296 (2011)CrossRefGoogle Scholar
  6. 6.
    Brinker, R., Skafte, A., López-Aenlle, M., Sestieri, A., D’Ambrogio, W., Canteli, A.: A local correspondence principle for mode shapes in structural dynamics. Mech. Syst. Signal Process. 45, 91–104 (2014)CrossRefGoogle Scholar
  7. 7.
    Brincker, R., Ventura, C.: Introduction to Operational Modal Analysis, 1st edn. Wiley, New York (2015)CrossRefGoogle Scholar
  8. 8.
    Chopra, A.K.: Dynamics of Structures – Theory and Applications to Earthquake Engineering, vol. 1, 1st edn. Prentice Hall, Inc., Eaglewood Cliffs (1995)zbMATHGoogle Scholar
  9. 9.
    O’Callahan, J., Avitabile, P., Riemer, R.: System equivalent reduction expansion process (SEREP). In: Proceedings of the 7th International Modal Analysis Conference (1989)Google Scholar
  10. 10.
    Hoang, N., Friedman, A., Song, W., Char, J., Feinstein, Z., Fujino, Y., Dyke, S.J.: System equivalent reduction expansion process: an experimental validation. In: Proceedings of EASEC-11 – Eleventh East Asia-Pacific Conference on Structural Engineering and Construction (2008)Google Scholar
  11. 11.
    Peeters, B., Van der Auweraera, H., Guillaume, P., Leuridana, J.: The polymax frequency–domain method: a new standard for modal parameter estimation? Shock Vib. 1(11), 395–409 (2004)CrossRefGoogle Scholar
  12. 12.
    Peeters, B., Van Der Auweraera, H., Vanhollebeck, F., Guillaume, P.: Operational modal analysis for estimating the dynamic properties of a stadium structure during a football game. Shock Vib. 1(14), 283–303 (2007)CrossRefGoogle Scholar
  13. 13.
    Diord, S., Magalhães, F., Cunha, Á., Caetano, E., Martins, N.: Automated modal tracking in a football stadium suspension roof for detection of structural changes. Struct. Control. Health Monit. 24(11), 1–19 (2017)CrossRefGoogle Scholar
  14. 14.
    Amador, S.D.R.: Uncertainty quantification in operational modal analysis and continuous monitoring of special structures. PhD thesis, Faculty of Engineering of University of Porto (FEUP), Porto (2015)Google Scholar
  15. 15.
    Juul, M., Brincker, R., Amador, S., Skafte, A., Jannick, B., Hansen, Lopez-Aenlle, M.: One step updating using local correspondence and mode shape orthogonality. Mechanical Systems and Signal Processing, (Manuscript submitted) (2017)Google Scholar

Copyright information

© The Society for Experimental Mechanics, Inc. 2019

Authors and Affiliations

  • Sandro Amador
    • 1
  • Martin Juul
    • 2
  • Tobias Friis
    • 1
  • Rune Brincker
    • 1
  1. 1.Technical University of DenmarkKongens LyngbyDenmark
  2. 2.Department of EngineeringAarhus UniversityAarhusDenmark

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