Bayesian Model Updating in Time Domain with Metamodel-Based Reliability Method



Kitahara, Masaru, Bi, Sifeng, Broggi, Matteo and Beer, Michael ORCID: 0000-0002-0611-0345
(2021) Bayesian Model Updating in Time Domain with Metamodel-Based Reliability Method. ASCE-ASME JOURNAL OF RISK AND UNCERTAINTY IN ENGINEERING SYSTEMS PART A-CIVIL ENGINEERING, 7 (3). 04021030-04021030.

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Abstract

In this study, a two-step approximate Bayesian computation (ABC) updating framework using dynamic response data is developed. In this framework, the Euclidian and Bhattacharyya distances are utilized as uncertainty quantification (UQ) metrics to define approximate likelihood functions in the first and second steps, respectively. A new Bayesian inference algorithm combining Bayesian updating with structural reliability methods (BUS) with the adaptive Kriging model is then proposed to effectively execute the ABC updating framework. The performance of the proposed procedure is demonstrated with a seismic-isolated bridge model updating application using simulated seismic response data. This application denotes that the Bhattacharyya distance is a powerful UQ metric with the capability to recreate wholly the distribution of target observations, and the proposed procedure can provide satisfactory results with much reduced computational demand compared with other well-known methods, such as transitional Markov chain Monte Carlo (TMCMC).

Item Type: Article
Uncontrolled Keywords: Stochastic model updating, Bayesian model updating, Bhattacharyya distance, Adaptive Kriging, Metamodeling, Bayesian updating with structural reliability method
Divisions: Faculty of Science and Engineering > School of Engineering
Depositing User: Symplectic Admin
Date Deposited: 28 Jun 2021 07:44
Last Modified: 18 Jan 2023 21:37
DOI: 10.1061/AJRUA6.0001149
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3127971