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Identification of Chaos Representations of Elastic Properties of Random Media Using Experimental Vibration Tests

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Abstract

This paper deals with the experimental identification of the probabilistic representation of a random field modelling the Young modulus of a nonhomogeneous isotropic elastic medium by experimental vibration tests. Experimental data are constituted of frequency response functions on a given frequency band and for a set of observed degrees of freedom on the boundary of specimens. The random field representation is based on the polynomial chaos decomposition. The coefficients of the polynomial chaos are identified setting an inverse problem and then in solving an optimization problem related to the maximum likelihood principle.

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Authors and Affiliations

  1. Laboratoire de mécanique, Université de Marne la Vallée, 5 bd Descartes, 77454, Marne la Vallée, France

    C. Desceliers & C. Soize

  2. Department of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA, USA

    R. Ghanem

Authors
  1. C. Desceliers
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  2. C. Soize
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  3. R. Ghanem
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Correspondence to C. Desceliers.

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Desceliers, C., Soize, C. & Ghanem, R. Identification of Chaos Representations of Elastic Properties of Random Media Using Experimental Vibration Tests. Comput Mech 39, 831–838 (2007). https://doi.org/10.1007/s00466-006-0072-7

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  • DOI: https://doi.org/10.1007/s00466-006-0072-7

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