Skip to main content

Uncertainty propagation in Experimental Modal Analysis

  • Conference paper
  • First Online:
Model Validation and Uncertainty Quantification, Volume 3

Abstract

As all experimental procedures, Experimental Modal Analysis (EMA) is subject to a wide range of potential testing and processing errors. The modal identification methods are sensitive to these errors, yielding modal results which are uncertain up to certain error bounds. The question hence is what these error bounds on test data and modal parameters are. In this paper, the studied source of uncertainty is related to the variance (noise) on the Frequency Response Function (FRF) measurements. Under the H1 assumptions and in single-input cases, the FRF variances can be computed from the coherences and the FRFs. In multiple-input cases, some more measurement functions are required. Advanced system identification methods like the Maximum Likelihood Estimator (MLE) and PolyMAX Plus have the possibility to take the uncertainty on the measurement data into account and to propagate the data uncertainty to (modal) parameter uncertainty. This paper will review FRF variance estimation techniques, including some pragmatic approaches. The basic concepts of Maximum Likelihood Estimation and the calculation of confidence bounds will be discussed. Some typical structural testing and modal analysis cases will be used as illustration of the discussed concepts.

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
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. Van der Auweraer H, Donders S, Peeters B (2005) Importance of uncertainty in identifying and using modal models. Proceedings of the International Symposium on Managing Uncertainty in Noise Measurement and Prediction, Le Mans, France

    Google Scholar 

  2. Govers Y, Link M (2010) Stochastic model updating: covariance matrix adjustment from uncertain experimental modal data. Mechanical Systems and Signal Processing 24(3):696–706

    Article  Google Scholar 

  3. Govers Y, Link M (2012) Using stochastic experimental modal data for identifying stochastic finite element parameters of the AIRMOD benchmark structure. Proceedings of the ISMA 2012, Leuven, Belgium

    Google Scholar 

  4. Ewins DJ (2000) Modal testing: theory, practice and applications, 2nd edn. Research Studies Press, Baldock, UK

    Google Scholar 

  5. Heylen W, Lammens S, Sas P (2013) Modal analysis theory and testing. Department of Mechanical Engineering, Katholieke Universiteit Leuven, Leuven

    Google Scholar 

  6. Bendat J, Piersol A (1971) Random data: analysis and measurement procedures. Wiley, New York

    MATH  Google Scholar 

  7. Pintelon R, Schoukens J (2001) System identification: a frequency domain approach. IEEE, New York

    Book  Google Scholar 

  8. El-kafafy M (2013) Design and validation of improved modal parameter estimators, PhD thesis, VUB, Brussels, Belgium

    Google Scholar 

  9. El-kafafy M, Guillaume P, Peeters B (2013) Modal parameter estimation by combining stochastic and deterministic frequency-domain approaches. Mechanical System and signal Processing 35(1–2):52–68

    Article  Google Scholar 

  10. El-kafafy M, De Troyer T, Peeters B, Guillaume P (2013) Fast maximum-likelihood identification of modal parameters with uncertainty intervals: a modal model-based formulation. Mech Syst Signal Process 37:422–439

    Article  Google Scholar 

  11. Peeters B, El-kafafy M,Guillaume P (2012) The new PolyMAX Plus method: confident modal parameter estimation even in very noisy cases. Proceedings of the ISMA 2012, Leuven, Belgium

    Google Scholar 

  12. Guillaume P, Verboven P, Vanlanduit S (1998) Frequency-domain maximum likelihood identification of modal parameters with confidence intervals. Proceedings of the ISMA 23, Leuven, Belgium

    Google Scholar 

  13. Van der Auweraer H, Peeters B (2004) Discriminating physical poles from mathematical poles in high order systems: use and automation of the stabilization diagram. Proceedings of the IMTC 2004, the IEEE Instrumentation and Measurement Technology Conference, Como, Italy

    Google Scholar 

  14. El-kafafy M, Guillaume P, Peeters B, Marra F, Coppotelli G, Advanced frequency-domain modal analysis for dealing with measurement noise and parameter uncertainty. Proceedings of the IMAC 30, Jacksonville FL, USA

    Google Scholar 

  15. Peeters B, Van der Auweraer H, Guillaume P, Leuridan J (2004) The PolyMAX frequency-domain method: a new standard for modal parameter estimation? Shock and Vibration 11:395–409

    Article  Google Scholar 

  16. Pintelon R, Guillaume P, Schoukens J (2007) Uncertainty calculation in (operational) modal analysis. Mechanical System and Signal Processing 21(6):2359–2373

    Article  Google Scholar 

  17. Guillaume P, Verboven P, Vanlanduit S, Parloo E (2001) Multisine excitations: new developments and applications in modal analysis. Proceedings of the IMAC 19, Kissimmee, FL

    Google Scholar 

  18. Santos F, Peeters B, Menchicchi M, Lau J, Gielen L, Desmet W, Goes L (2014) Strain-based dynamic measurements and modal testing. Proceedings of the IMAC 32, Orlando, FL, USA

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bart Peeters .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 The Society for Experimental Mechanics, Inc.

About this paper

Cite this paper

Peeters, B., El-Kafafy, M., Guillaume, P., Van der Auweraer, H. (2014). Uncertainty propagation in Experimental Modal Analysis. In: Atamturktur, H., Moaveni, B., Papadimitriou, C., Schoenherr, T. (eds) Model Validation and Uncertainty Quantification, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-04552-8_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-04552-8_5

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-04551-1

  • Online ISBN: 978-3-319-04552-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics