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Bayesian model updating using stochastic distances as uncertainty quantification metrics

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Autorschaft

Externe Organisationen

  • Beijing Institute of Technology

Details

OriginalspracheEnglisch
Titel des SammelwerksProceedings of ISMA 2018
UntertitelInternational Conference on Noise and Vibration Engineering and USD 2018 - International Conference on Uncertainty in Structural Dynamics
Herausgeber/-innenD. Moens, W. Desmet, B. Pluymers, W. Rottiers
Seiten5157-5167
Seitenumfang11
ISBN (elektronisch)9789073802995
PublikationsstatusVeröffentlicht - 2018
Veranstaltung28th International Conference on Noise and Vibration Engineering, ISMA 2018 and 7th International Conference on Uncertainty in Structural Dynamics, USD 2018 - Leuven, Belgien
Dauer: 17 Sept. 201819 Sept. 2018

Publikationsreihe

NameProceedings of ISMA 2018 - International Conference on Noise and Vibration Engineering and USD 2018 - International Conference on Uncertainty in Structural Dynamics

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.

ASJC Scopus Sachgebiete

Zitieren

Bayesian model updating using stochastic distances as uncertainty quantification metrics. / Bi, Sifeng; Broggi, Matteo; Beer, Michael et al.
Proceedings of ISMA 2018: International Conference on Noise and Vibration Engineering and USD 2018 - International Conference on Uncertainty in Structural Dynamics. Hrsg. / D. Moens; W. Desmet; B. Pluymers; W. Rottiers. 2018. S. 5157-5167 (Proceedings of ISMA 2018 - International Conference on Noise and Vibration Engineering and USD 2018 - International Conference on Uncertainty in Structural Dynamics).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Bi, S, Broggi, M, Beer, M & Zhang, Y 2018, Bayesian model updating using stochastic distances as uncertainty quantification metrics. in D Moens, W Desmet, B Pluymers & W Rottiers (Hrsg.), Proceedings of ISMA 2018: International Conference on Noise and Vibration Engineering and USD 2018 - International Conference on Uncertainty in Structural Dynamics. Proceedings of ISMA 2018 - International Conference on Noise and Vibration Engineering and USD 2018 - International Conference on Uncertainty in Structural Dynamics, S. 5157-5167, 28th International Conference on Noise and Vibration Engineering, ISMA 2018 and 7th International Conference on Uncertainty in Structural Dynamics, USD 2018, Leuven, Belgien, 17 Sept. 2018.
Bi, S., Broggi, M., Beer, M., & Zhang, Y. (2018). Bayesian model updating using stochastic distances as uncertainty quantification metrics. In D. Moens, W. Desmet, B. Pluymers, & W. Rottiers (Hrsg.), Proceedings of ISMA 2018: International Conference on Noise and Vibration Engineering and USD 2018 - International Conference on Uncertainty in Structural Dynamics (S. 5157-5167). (Proceedings of ISMA 2018 - International Conference on Noise and Vibration Engineering and USD 2018 - International Conference on Uncertainty in Structural Dynamics).
Bi S, Broggi M, Beer M, Zhang Y. Bayesian model updating using stochastic distances as uncertainty quantification metrics. in Moens D, Desmet W, Pluymers B, Rottiers W, Hrsg., Proceedings of ISMA 2018: International Conference on Noise and Vibration Engineering and USD 2018 - International Conference on Uncertainty in Structural Dynamics. 2018. S. 5157-5167. (Proceedings of ISMA 2018 - International Conference on Noise and Vibration Engineering and USD 2018 - International Conference on Uncertainty in Structural Dynamics).
Bi, Sifeng ; Broggi, Matteo ; Beer, Michael et al. / Bayesian model updating using stochastic distances as uncertainty quantification metrics. Proceedings of ISMA 2018: International Conference on Noise and Vibration Engineering and USD 2018 - International Conference on Uncertainty in Structural Dynamics. Hrsg. / D. Moens ; W. Desmet ; B. Pluymers ; W. Rottiers. 2018. S. 5157-5167 (Proceedings of ISMA 2018 - International Conference on Noise and Vibration Engineering and USD 2018 - International Conference on Uncertainty in Structural Dynamics).
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title = "Bayesian model updating using stochastic distances as uncertainty quantification metrics",
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.",
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Download

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AU - Bi, Sifeng

AU - Broggi, Matteo

AU - Beer, Michael

AU - Zhang, Yuguang

N1 - Funding Information: This work is supported by the Alexander von Humboldt Foundation, which is greatly appreciated by the first author.

PY - 2018

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N2 - 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.

AB - 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.

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M3 - Conference contribution

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BT - Proceedings of ISMA 2018

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