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Computer Methods in Applied Mechanics and Engineering 197 (2008) 589-608
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Identification of non-parametric probabilistic models from measured transfer functions
M. Arnst 1, D. Clouteau 1, Marc Bonnet 2
(2008)

This paper addresses the inversion of probabilistic models for the dynamical behaviour of structures using experimental data sets of measured frequency-domain transfer functions. The inversion is formulated as the minimization, with respect to the unknown parameters to be identified, of an objective function that measures a distance between the data and the model. Two such distances are proposed, based on either the loglikelihood function, or the relative entropy. As a comprehensive example, a probabilistic model for the dynamical behaviour of a slender beam is inverted using simulated data. The methodology is then applied to a civil and environmental engineering case history involving the identification of a probabilistic model for ground-borne vibrations from real experimental data.
1:  Laboratoire de mécanique des sols, structures et matériaux (MSSMat)
CNRS : UMR8579 – Ecole Centrale Paris
2:  Laboratoire de mécanique des solides (LMS)
CNRS : UMR7649 – Polytechnique - X – Mines ParisTech
Physics/Mechanics/Mechanics of the solides

Engineering Sciences/Mechanics/Mechanics of the solides
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