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MPUQ-b: Bootstrapping Based Modal Parameter Uncertainty Quantification—Methodology and Application

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Model Validation and Uncertainty Quantification, Volume 3

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Abstract

Building on a previous paper that illustrated the fundamental principles of bootstrapping, and how it can be employed in context of quantifying uncertainty in modal parameter estimation, a new methodology for uncertainty quantification in estimated modal parameters is proposed. This methodology, termed as Bootstrapping based Modal Parameter Uncertainty Quantification (MPUQ-b), utilizes bootstrapping for the purpose of statistical inference regarding estimated modal parameters. This second paper, elaborates and demonstrates MPUQ-b methodology and shows how bootstrapping can be incorporated in modal parameter estimation process. Suggested method is validated by means of comparison with Monte Carlo simulation studies on a numerical five degrees-of-freedom system. It is highlighted in the paper, how MPUQ-b differs from other methods available in the literature and its advantages and limitations are discussed.

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Abbreviations

DOF:

Degrees of Freedom

EMA:

Experimental Modal Analysis

ERA:

Eigensystem Realization Algorithm

FFT:

Fast Fourier Transformation

FRF:

Frequency Response Function

IQR:

Interquartile Range

MIMO:

Multiple Input, Multiple Output

MPUQ-b:

Bootstrapping based Modal Parameter Uncertainty Quantification

OMA:

Operational Modal Analysis

PTD:

Polyreference Time Domain algorithm

RFP-z:

Rational Fraction Polynomial Z domain

SDOF:

Single Degree-of-Freedom

SNR:

Signal-to-Noise Ratio

SSI-Cov:

Covariance driven Stochastic Subspace Identification algorithm

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Author information

Authors and Affiliations

  1. Bruel & Kjær Sound and Vibration Measurement A/S, Skodsborgvej 307, DK, 2850, Naerum, Denmark

    S. Chauhan

Authors
  1. S. Chauhan
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Correspondence to S. Chauhan .

Editor information

Editors and Affiliations

  1. University of Sheffield, Sheffield, United Kingdom

    Robert Barthorpe

  2. Fraunhofer Institute Darmstadt, Darmstadt, Germany

    Roland Platz

  3. Lawrence Livermore National Laboratory, Livermore, California, USA

    Israel Lopez

  4. Tufts University, Medford, Massachusetts, USA

    Babak Moaveni

  5. University of Thessaly, Thessaly, Greece

    Costas Papadimitriou

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© 2017 The Society for Experimental Mechanics, Inc.

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Chauhan, S. (2017). MPUQ-b: Bootstrapping Based Modal Parameter Uncertainty Quantification—Methodology and Application. In: Barthorpe, R., Platz, R., Lopez, I., Moaveni, B., Papadimitriou, C. (eds) Model Validation and Uncertainty Quantification, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-54858-6_23

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  • DOI: https://doi.org/10.1007/978-3-319-54858-6_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54857-9

  • Online ISBN: 978-3-319-54858-6

  • eBook Packages: EngineeringEngineering (R0)

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