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Parameter uncertainties quantification for finite element based subspace fitting approaches

Guillaume Gautier 1, 2, * Laurent Mevel 1 Jean-Mathieu Mencik 3 Michael Döhler 1 Roger Serra 3
* Corresponding author
1 I4S - Statistical Inference for Structural Health Monitoring
IFSTTAR/COSYS - Département Composants et Systèmes, Inria Rennes – Bretagne Atlantique
3 DivS - Dynamique interactions vibrations Structures
LaMé - Laboratoire de Mécanique Gabriel Lamé
Abstract : This paper addresses the issue of quantifying uncertainty bounds when updating the finite element model of a mechanical structure from measurement data. The problem arises as to assess the validity of the parameters identification and the accuracy of the results obtained. In this paper, a covariance estimation procedure is proposed about the updated parameters of a finite element model, which propagates the data-related covariance to the parameters by considering a first-order sensitivity analysis. In particular, this propagation is performed through each iteration step of the updating minimization problem, by taking into account the covariance between the updated parameters and the data-related quantities. Numerical simulations on a beam show the feasibility and the effectiveness of the method.
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https://hal.inria.fr/hal-01344198
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Submitted on : Monday, July 11, 2016 - 2:30:45 PM
Last modification on : Saturday, March 7, 2020 - 1:32:40 AM
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  • HAL Id : hal-01344198, version 1

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Guillaume Gautier, Laurent Mevel, Jean-Mathieu Mencik, Michael Döhler, Roger Serra. Parameter uncertainties quantification for finite element based subspace fitting approaches. EWSHM - 8th European Workshop on Structural Health Monitoring, Jul 2016, Bilbao, Spain. ⟨hal-01344198⟩

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