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Time-Frequency Domain Modal Parameter Estimation of Time-Varying Structures Using a Two-Step Least Square Estimator

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Topics in Modal Analysis I, Volume 5

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Abstract

Under natural stochastic excitations, responses of time-varying structures are always nonstationary stochastic signals, of which spectra change with time. This paper studies the time-dependent power spectrum density based on time-frequency analysis. Based on the time-dependent power spectrum density, a mathematical model of the time-frequency-domain two-step least square modal parameter estimator for time-varying structures is presented. In the first-step estimation, the modal parameters at each time instant are estimated using the least square complex frequency-domain method. Furthermore, the estimated modal parameters are sifted and sorted. Based on the sifted and sorted modal parameters, the time-varying resonance frequency, damping ratio and operational mode shapes are estimated in the second-step estimation. A numerical simulation example and a group of experiments validate this two-step least square modal parameter estimator for time-varying structures.

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Acknowledgement

The authors acknowledge the support for the work presented in this paper from the China Scholarship Council and Katholieke Universiteit Leuven.

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Authors and Affiliations

  1. School of Aerospace Engineering, Beijing Institute of Technology, Zhongguancun South Street 5, 100081, Beijing, China

    Si-Da Zhou & Li Liu

  2. Department of Mechanical Engineering, Katholieke Universiteit Leuven, Celestijnenlaan 300B, 3001, Leuven, Belgium

    Si-Da Zhou, Ward Heylen & Paul Sas

Authors
  1. Si-Da Zhou
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  2. Ward Heylen
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  3. Paul Sas
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  4. Li Liu
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Corresponding author

Correspondence to Si-Da Zhou .

Editor information

Editors and Affiliations

  1. University of Cincinnati, Cincinnati, 45221, Ohio, USA

    R. Allemang

  2. Michigan Technological University, Houghton, 49931-1295, USA

    J. De Clerck

  3. University Massachusetts Lowell, Lowell, 01854, USA

    C. Niezrecki

  4. Michigan Technological University, Houghton, 49931-1295, USA

    J.R. Blough

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© 2012 The Society for Experimental Mechanics, Inc. 2012

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Zhou, SD., Heylen, W., Sas, P., Liu, L. (2012). Time-Frequency Domain Modal Parameter Estimation of Time-Varying Structures Using a Two-Step Least Square Estimator. In: Allemang, R., De Clerck, J., Niezrecki, C., Blough, J. (eds) Topics in Modal Analysis I, Volume 5. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-2425-3_8

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  • DOI: https://doi.org/10.1007/978-1-4614-2425-3_8

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-2424-6

  • Online ISBN: 978-1-4614-2425-3

  • eBook Packages: EngineeringEngineering (R0)

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