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Operational Modal Analysis in Frequency Domain Using Gaussian Mixture Models

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Topics in Modal Analysis & Testing, Volume 10

Abstract

Operational Modal Analysis is widely gaining popularity as a means to perform system identification of a structure. Instead of using a detailed experimental setup Operational Modal Analysis relies on measurement of ambient displacements to identify the system. Due to the random nature of ambient excitations and their output responses, various statistical methods have been developed throughout the literature both in the time-domain and the frequency-domain. The most popular of these algorithms rely on the assumption that the structure can be modelled as a multi degree of freedom second order differential system. In this paper we drop the second order differential assumption and treat the identification problem as a curve-fitting problem, by fitting a Gaussian Mixture Model in the frequency domain. We further derive equivalent models for the covariance-driven and the data-driven algorithms. Moreover, we introduce a model comparison criterion to automatically choose the optimum number of Gaussian’s. Later the algorithm is used to predict modal frequencies on a simulated problem.

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Acknowledgements

The author’s are really indebted to the encouragement and support provided by, Jonatan Santiago Tonato, Emmanuel Rachelson, Michele Colombo and Sebastien Blanc.

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Authors and Affiliations

  1. Flight Physics, Airbus Operations S.A.S., 316 route de Bayonne, 31060, Toulouse, France

    Ankit Chiplunkar

  2. Université de Toulouse, CNRS, ISAE-SUPAERO, Institut Clément Ader (ICA), 10 avenue Edouard Belin, 31077, Toulouse Cedex 4, France

    Joseph Morlier

Authors
  1. Ankit Chiplunkar
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  2. Joseph Morlier
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Editor information

Editors and Affiliations

  1. Application Solutions - Structural Analysis, Brüel & Kjær, Cincinnati, Ohio, USA

    Michael Mains

  2. Michigan Technological University, Houghton, Michigan, USA

    J.R. Blough

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© 2017 The Society for Experimental Mechanics, Inc.

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Chiplunkar, A., Morlier, J. (2017). Operational Modal Analysis in Frequency Domain Using Gaussian Mixture Models. In: Mains, M., Blough, J. (eds) Topics in Modal Analysis & Testing, Volume 10. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-54810-4_7

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  • DOI: https://doi.org/10.1007/978-3-319-54810-4_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54809-8

  • Online ISBN: 978-3-319-54810-4

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