Comparison of deterministic and probabilistic approaches to identify the dynamic moving load and damages of a reinforced concrete beam

Julien Waeytens and Bojana Rosić

Applied Mathematics and Computation, 2015, vol. 267, issue C, 3-16

Abstract: Two classical civil engineering inverse problems are considered. The first deals with the determination of dynamic moving loads applied to a reinforced concrete beam. The second one corresponds to the monitoring and the damage assessment. The concrete damage due to overloading is modeled by a loss of the concrete Young’ modulus, whereas the steel bar damage due to corrosion effects is modeled by a reduction of the steel bar cross section. To identify the loading and damage parameters, deterministic and probabilistic model updating techniques are applied and compared. In the deterministic approach, a gradient descent technique based on the adjoint framework is used to minimize the data misfit functional with a Tikhonov regularization term. Then, a regularization by a means of Bayes’s rule is considered in a probabilistic approach. The estimation is of the minimum variance type achieved with the help of the transformed ensemble Kalman filter.

Keywords: Inverse problems; Bayesian updating; Optimal control; Adjoint method; Structural dynamics (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:267:y:2015:i:c:p:3-16

DOI: 10.1016/j.amc.2015.07.121

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