The DOI matches its Crossref record; 37 of the 37 references it cites were found in a registry or an index.
Bayesian Updating with Structural Reliability Methods
Abstract
Bayesian updating is a powerful method to learn and calibrate models with data and observations. Because of the difficulties involved in computing the high-dimensional integrals necessary for Bayesian updating, Markov chain Monte Carlo (MCMC) sampling methods have been developed and successfully applied for this task. The disadvantage of MCMC methods is the difficulty of ensuring the stationarity of the Markov chain. We present an alternative to MCMC that is particularly effective for updating mechanical and other computational models, termed Bayesian updating with structural reliability methods (BUS). With BUS, structural reliability methods are applied to compute the posterior distribution of uncertain model parameters and model outputs in general. An algorithm for the implementation of BUS is proposed, which can be interpreted as an enhancement of the classic rejection sampling algorithm for Bayesian updating. This algorithm is based on the subset simulation, and its efficiency is not dependent on the number of random variables in the model. The method is demonstrated by application to parameter identification in a dynamic system, Bayesian updating of the material parameters of a structural system, and Bayesian updating of a random field–based finite-element model of a geotechnical site.
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Cites
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On the mathematical foundations of theoretical statistics
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Estimation of small failure probabilities in high dimensions by subset simulation
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Structural Reliability Methods
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Cited by
Kabir, S., & Papadopoulos, Y. (2019) · Safety Science · doi:10.1016/j.ssci.2019.02.009 · Cited by 389
Machine learning-based methods in structural reliability analysis: A review
Saraygord Afshari, S., Enayatollahi, F., Xu, X., & Liang, X. (2022) · Reliability Engineering & System Safety · doi:10.1016/j.ress.2021.108223 · Cited by 365
Sampling methods for solving Bayesian model updating problems: A tutorial
Lye, A., Cicirello, A., & Patelli, E. (2021) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2021.107760 · Cited by 169
Huang, Y., Beck, J. L., & Li, H. (2017) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2017.01.030 · Cited by 147
Kamariotis, A., Vlachas, K., Ntertimanis, V., Koune, I., Cicirello, A., & Chatzi, E. (2025) · ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering · doi:10.1115/1.4067140 · Cited by 15
Metadata
- Authors
- Straub, D., & Papaioannou, I.
- Venue
- Journal of Engineering Mechanics
- Published
- 2015-03
- Volume
- 141
- Issue
- 3
- ISSN
- 0733-9399 (ISSN-L)
- 1943-7889
- OpenAlex
- W2044691915
- Cited by
- 337
- References
- 37
- FWCI
- 15.38
- Type
- journal article
- Language
- en
- Open access
- closed
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