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Bayesian updating of conditional failure probability using method of moments

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

Autorschaft

  • P. P. Li
  • Y. G. Zhao
  • C. Dang
  • M. Broggi

Externe Organisationen

  • Technische Universität Dortmund
  • Beijing University of Technology

Details

OriginalspracheEnglisch
Titel des SammelwerksProceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics
Herausgeber/-innenW. Desmet, B. Pluymers, D. Moens, J. del Fresno Zarza
Seiten4302-4313
Seitenumfang12
ISBN (elektronisch)9789082893175
PublikationsstatusVeröffentlicht - 9 Sept. 2024
Veranstaltung31st International Conference on Noise and Vibration Engineering, ISMA 2024 and 10th International Conference on Uncertainty in Structural Dynamics, USD 2024 - Leuven, Belgien
Dauer: 9 Sept. 202411 Sept. 2024

Publikationsreihe

NameProceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics

Abstract

Bayesian updating reduces epistemic uncertainty for more reliable predictions, but characterizing the distribution of conditional failure probability with measurement data is complex. This study proposes an efficient and accurate method to fully describe the probabilistic characteristics of the updated conditional failure probability. It formulates the first three raw moments of the updated conditional reliability index and uses weighted sparse grid numerical integration to evaluate these moments. A shifted lognormal distribution is then used to approximate the probability density function of the updated conditional reliability index, allowing for the determination of the mean, quantiles, and distribution of the updated conditional failure probability with information reuse. An illustrative example was conducted to demonstrate the method's performance, with results compared against benchmarks from MCMC combined with MCS.

ASJC Scopus Sachgebiete

Zitieren

Bayesian updating of conditional failure probability using method of moments. / Li, P. P.; Zhao, Y. G.; Dang, C. et al.
Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics. Hrsg. / W. Desmet; B. Pluymers; D. Moens; J. del Fresno Zarza. 2024. S. 4302-4313 (Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics).

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

Li, PP, Zhao, YG, Dang, C, Broggi, M, Valdebenito, MA & Faes, MGR 2024, Bayesian updating of conditional failure probability using method of moments. in W Desmet, B Pluymers, D Moens & J del Fresno Zarza (Hrsg.), Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics. Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics, S. 4302-4313, 31st International Conference on Noise and Vibration Engineering, ISMA 2024 and 10th International Conference on Uncertainty in Structural Dynamics, USD 2024, Leuven, Belgien, 9 Sept. 2024.
Li, P. P., Zhao, Y. G., Dang, C., Broggi, M., Valdebenito, M. A., & Faes, M. G. R. (2024). Bayesian updating of conditional failure probability using method of moments. In W. Desmet, B. Pluymers, D. Moens, & J. del Fresno Zarza (Hrsg.), Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics (S. 4302-4313). (Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics).
Li PP, Zhao YG, Dang C, Broggi M, Valdebenito MA, Faes MGR. Bayesian updating of conditional failure probability using method of moments. in Desmet W, Pluymers B, Moens D, del Fresno Zarza J, Hrsg., Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics. 2024. S. 4302-4313. (Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics).
Li, P. P. ; Zhao, Y. G. ; Dang, C. et al. / Bayesian updating of conditional failure probability using method of moments. Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics. Hrsg. / W. Desmet ; B. Pluymers ; D. Moens ; J. del Fresno Zarza. 2024. S. 4302-4313 (Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics).
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