Evidence - based identification of weighting factors in bayesian model updating using modal data / B. Goller in Journal of engineering mechanics, Vol. 138 N° 5 (Mai 2012)  

Public ISBD [article]  inJournal of engineering mechanics > Vol. 138 N° 5 (Mai 2012) . - pp.430-440 Titre : Evidence - based identification of weighting factors in bayesian model updating using modal data Type de document : texte imprimé Auteurs : B. Goller, Auteur ; J. L. Beck, Auteur ; G. I. Schueller, Auteur Année de publication : 2012 Article en page(s) : pp.430-440 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Structural models Markov chain Monte Carlo Bayesian analysis Robust model updating Simulation Résumé : In Bayesian model updating, parameter identification of structural systems using modal data can be based on the formulation of the likelihood function as a product of two probability density functions, one relating to modal frequencies and one to mode-shape components. The selection of the prior distribution of the prediction-error variances relating to these two types of data has to be performed carefully so that the relative contributions are weighted to give balanced results. A methodology is proposed in this paper to select these weights by performing Bayesian updating at the model class level, where the model classes differ by having different ratios of the two prediction-error variances. The most probable model class on the basis of the modal data then gives the best choice for this variance ratio. Two illustrative examples, one using simulated data and one using experimental data, point out the effect of the different relative contributions of the modal frequencies and mode-shape components to the total amount of information extracted from the modal data. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000351 [article] Evidence - based identification of weighting factors in bayesian model updating using modal data [texte imprimé] / B. Goller, Auteur ; J. L. Beck, Auteur ; G. I. Schueller, Auteur . - 2012 . - pp.430-440. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 138 N° 5 (Mai 2012) . - pp.430-440 Mots-clés : Structural models Markov chain Monte Carlo Bayesian analysis Robust model updating Simulation Résumé : In Bayesian model updating, parameter identification of structural systems using modal data can be based on the formulation of the likelihood function as a product of two probability density functions, one relating to modal frequencies and one to mode-shape components. The selection of the prior distribution of the prediction-error variances relating to these two types of data has to be performed carefully so that the relative contributions are weighted to give balanced results. A methodology is proposed in this paper to select these weights by performing Bayesian updating at the model class level, where the model classes differ by having different ratios of the two prediction-error variances. The most probable model class on the basis of the modal data then gives the best choice for this variance ratio. Two illustrative examples, one using simulated data and one using experimental data, point out the effect of the different relative contributions of the modal frequencies and mode-shape components to the total amount of information extracted from the modal data. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000351

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