Bayesian model updating using stochastic distances as uncertainty quantification metrics

S. Bi, M. Broggi, M. Beer, Y. Zhang

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Abstract

Uncertainty quantification metrics are critical in the campaign of stochastic model updating, by provide an elaborate measurement of the uncertainty in both simulations and experiments. In this work, the Bhattacharyya distance is proposed as a comprehensive model updating metric for two samples considering their probabilistic properties. The updating process employs a two-steps Bayesian framework where the Bhattacharyya distance is well embedded and its performance is compared with the Euclidian distance. The Euclidian distance is utilized as metric in the first step where the geometry distance between the center points of the numerical and experimental samples are calculated. The posteriori distributions of the means are subsequently transferred to the second step where the Bhattacharyya distance is utilized as metric with the main effort to update the distributional coefficients of parameters. The feasibility of the overall two-step framework and the advantage of the Bhattacharyya distance metric are demonstrated in a simulated example.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Noise and Vibration Engineering (ISMA2018) and the International Conference on Uncertainty in Structural Dynamics (USD2018)
EditorsW. Desmet, D. Moens, B. Pluymers, W. Rottiers
Place of PublicationLeuven, Belgium
Pages5157-5167
Number of pages11
ISBN (Electronic)9789073802995
Publication statusPublished - 19 Sep 2018
Event28th International Conference on Noise and Vibration Engineering, ISMA 2018 and 7th International Conference on Uncertainty in Structural Dynamics, USD 2018 - Leuven, Belgium
Duration: 17 Sep 201819 Sep 2018

Conference

Conference28th International Conference on Noise and Vibration Engineering, ISMA 2018 and 7th International Conference on Uncertainty in Structural Dynamics, USD 2018
Country/TerritoryBelgium
CityLeuven
Period17/09/1819/09/18

Keywords

  • stochastic distances
  • Bayesian model
  • uncertainies
  • Bayesian framework
  • Bhattacharyya distance

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