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Short-Time Autoregressive (STAR) Modeling for Operational Modal Analysis of Non-stationary Vibration

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Book cover Vibration and Structural Acoustics Analysis

Abstract

In this chapter, a method based on an autoregressive model in a short-time scheme is developed for the modal analysis of vibrating structures whose properties may vary with time and is called Short-Time AutoRegressive (STAR) method. This new method allows for the successful modeling and identification of an output-only modal analysis. The originality of the proposed method lies in its specific handling of non-stationary vibrations, which allows the tracking of modal parameter changes in time. This chapter presents an update of the model with respect to model order and a noise-to-signal based criterion for the selection of the minimum model order. A length equal to four times the period of the lowest natural frequency has been numerically found to be efficient for the data block size and may be recommended for experimental applications. To validate the method, a system with three degrees of freedom is first simulated under a random excitation, and both stationary and non-stationary vibrations are considered. The method is finally applied on the real multichannel data measured on an experimental steel plate emerging from water, and is compared to the conventional Short-Time Fourier Transform (STFT) method. It is shown that the proposed method outperforms in terms of frequency identification, whatever the non-stationary behaviour (either slow or abrupt change) due to the added mass effect of the fluid.

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Acknowledgements

The support of NSERC (Natural Sciences and Engineering Research Council of Canada) through Research Cooperative grants is gratefully acknowledged. The authors would like to thank Hydro-Quebec’s Research Institute for the collaboration.

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Authors and Affiliations

  1. École de Technologie Supérieure, 1100 Notre Dame West, Montréal, QC, H3C 1K3, Canada

    V.-H. Vu & M. Thomas

  2. École Polytechnique, Montréal, QC, H3C 3A7, Canada

    A. A. Lakis

  3. Institut de Recherche Hydro Québec, Varennes, QC, J3X 1S1, Canada

    L. Marcouiller

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  1. V.-H. Vu
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  2. M. Thomas
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  3. A. A. Lakis
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  4. L. Marcouiller
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Correspondence to V.-H. Vu .

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Editors and Affiliations

  1. Faculdade de Engenharia, INEGI-FEUP / University of Porto, Rua Dr. Roberto Frias s/n, Edifício M, Sala 206, Porto, 4200-465, Portugal

    C.M.A. Vasques

  2. Department of Engineering, University of Porto, Rua Dr Roberto Frias s/n, Porto, 4200-465, Portugal

    J. Dias Rodrigues

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Vu, VH., Thomas, M., Lakis, A.A., Marcouiller, L. (2011). Short-Time Autoregressive (STAR) Modeling for Operational Modal Analysis of Non-stationary Vibration. In: Vasques, C., Dias Rodrigues, J. (eds) Vibration and Structural Acoustics Analysis. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1703-9_3

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  • DOI: https://doi.org/10.1007/978-94-007-1703-9_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-1702-2

  • Online ISBN: 978-94-007-1703-9

  • eBook Packages: EngineeringEngineering (R0)

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