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 language | English |
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Title of host publication | Proceedings of the International Conference on Noise and Vibration Engineering (ISMA2018) and the International Conference on Uncertainty in Structural Dynamics (USD2018) |
Editors | W. Desmet, D. Moens, B. Pluymers, W. Rottiers |
Place of Publication | Leuven, Belgium |
Pages | 5157-5167 |
Number of pages | 11 |
ISBN (Electronic) | 9789073802995 |
Publication status | Published - 19 Sept 2018 |
Event | 28th International Conference on Noise and Vibration Engineering, ISMA 2018 and 7th International Conference on Uncertainty in Structural Dynamics, USD 2018 - Leuven, Belgium Duration: 17 Sept 2018 → 19 Sept 2018 |
Conference
Conference | 28th International Conference on Noise and Vibration Engineering, ISMA 2018 and 7th International Conference on Uncertainty in Structural Dynamics, USD 2018 |
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Country/Territory | Belgium |
City | Leuven |
Period | 17/09/18 → 19/09/18 |
Keywords
- stochastic distances
- Bayesian model
- uncertainies
- Bayesian framework
- Bhattacharyya distance