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Using P-Box and PiFE to Express Uncertainty in Model Updating

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Topics in Model Validation and Uncertainty Quantification, Volume 5

Abstract

This paper proposes the use of probability bounds with the Pseudo-inverse Finite Element (PiFE) method for structural model updating. The technique estimates the probability bound of structural parameters based on dynamic or static features such as modal parameters or static displacements. Two methods are explored for the calculation of the probability bounds: (i) Naïve method and (ii) all possible combinations. The capabilities of the technique are explored using a two degree of freedom structural system where the stiffness is considered uncertain. Results indicate that both the Naïve and all possible combination techniques are applicable with PiFE and produce bounds that include the cumulative distribution function of the structural parameters. The probability bounds found with the all possible combinations method was narrower for this particular example.

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Acknowledgements

This material is based upon work supported by the National Science Foundation under Grant No.CMMI-0846258.

Author information

Authors and Affiliations

  1. Department of Civil and Environmental Engineering, University of South Carolina, 300 Main, Columbia, SC, 29208, USA

    Ramin Madarshahian (Doctoral Candidate) & Juan M. Caicedo (Associate Professor)

  2. Mistras Group, 195 Clarksville Road, Princeton Junction, NJ, 08550, USA

    Boris A. Zárate (Research Scientist)

Authors
  1. Ramin Madarshahian
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  2. Juan M. Caicedo
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  3. Boris A. Zárate
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Corresponding author

Correspondence to Ramin Madarshahian .

Editor information

Editors and Affiliations

  1. Sandia National Laboratories, Albuquerque, 87185-0557, New Mexico, USA

    Todd Simmermacher

  2. , CNRS, University of Franche-Comte, Besançon, France

    Scott Cogan

  3. , Department of Civil and Envt. Eng., Tufts University, Anderson Hall, Medford, 02155, Massachusetts, USA

    Babak Moaveni

  4. , Department of Mech. & Industrial Eng., University of Thessaly, Leoforos Athinon, Pedion Areos, Volos, GR-383 34, Greece

    Costas Papadimitriou

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© 2013 The Society for Experimental Mechanics, Inc.

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Madarshahian, R., Caicedo, J.M., Zárate, B.A. (2013). Using P-Box and PiFE to Express Uncertainty in Model Updating. In: Simmermacher, T., Cogan, S., Moaveni, B., Papadimitriou, C. (eds) Topics in Model Validation and Uncertainty Quantification, Volume 5. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6564-5_9

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  • DOI: https://doi.org/10.1007/978-1-4614-6564-5_9

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-6563-8

  • Online ISBN: 978-1-4614-6564-5

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