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Model Updating

Handbook of Experimental Structural Dynamics

Abstract

The term “model updating” describes the process of adjusting the parameters of a finite element model in order that its predictions, in terms of eigenvalues and eigenvectors, are in agreement with measurements obtained by modal testing. The sensitivity method described in this chapter has been implemented numerous times in commercial codes and applied successfully in industry. It has become a mature technology in regular use in the automotive and aerospace industries worldwide. However, there are various subtleties surrounding the application of model updating that are discussed here for the benefit of potential users. Firstly there must be an awareness of the frequency range in which the updated model is to be applied. The available data is generally insufficient to define the system parameters without the use of additional information provided by regularization. And the choice of parameters is of critical importance: it is not only a matter of choosing sensitive parameters; they should also be chosen as part of an engineering understanding of the dynamics of the system. Careful choice of parameters, together with regularization, will lead to validated models that predict the behavior of the system beyond the scope of the original test data.

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Abbreviations

f :

Vector of forces

x :

Displacement vector

z :

Vector of outputs

C :

Damping matrix

G :

Matrix of sensitivities

H :

Matrix of frequency response functions

K :

Stiffness matrix

M :

Mass matrix

P :

Matrix of stiffness-matrix eigenvalues

W :

Weighting matrix

λ :

Eigenvalue

θ :

Vector of parameters

φ :

Eigenvector

Ψ :

Matrix of stiffness-matrix eigenvectors

Cov(•, •):

Covariance matrix

\( \left(\overline{\bullet}\right) \) :

Mean

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Acknowledgments

The content and images presented for the automotive example problem are published with the kind permission of the Volkswagen AG, Germany.

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Authors and Affiliations

  1. School of Engineering, University of Liverpool, Liverpool, UK

    John E. Mottershead

  2. Department of Civil and Environmental Engineering, University of Kassel, Kassel, Germany

    Michael Link

  3. College of Engineering, Swansea University, Swansea, UK

    Michael I. Friswell

  4. ICS Engineering GmbH, Dreieich, Germany

    Carsten Schedlinski

Authors
  1. John E. Mottershead
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  2. Michael I. Friswell
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  3. Carsten Schedlinski
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Corresponding author

Correspondence to John E. Mottershead .

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Editors and Affiliations

  1. University of Cincinnati, Cincinnati, OH, USA

    R. Allemang

  2. Mechanical Engineering, University of Massachusetts Lowell, Lowell, MA, USA

    Peter Avitabile

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Mottershead, J.E., Link, M., Friswell, M.I., Schedlinski, C. (2020). Model Updating. In: Allemang, R., Avitabile, P. (eds) Handbook of Experimental Structural Dynamics. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-6503-8_18-1

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  • DOI: https://doi.org/10.1007/978-1-4939-6503-8_18-1

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  • Print ISBN: 978-1-4939-6503-8

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Chapter history

  1. Latest

    Model Updating
    Published:
    02 September 2021

    DOI: https://doi.org/10.1007/978-1-4939-6503-8_18-2

  2. Original

    Model Updating
    Published:
    22 January 2021

    DOI: https://doi.org/10.1007/978-1-4939-6503-8_18-1

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