Distribution-free stochastic model updating of dynamic systems with parameter dependencies

Kitahara, Masaru, Bi, Sifeng, Broggi, Matteo and Beer, Michael ORCID: 0000-0002-0611-0345 (2022) Distribution-free stochastic model updating of dynamic systems with parameter dependencies. Structural Safety, 97. p. 102227.

Text
Struct_Safety_Kitahara&Bi&Broggi&Beerr_accepted_20220426.pdf - Author Accepted Manuscript
Download (2MB) | Preview

Official URL: http://dx.doi.org/10.1016/j.strusafe.2022.102227

Abstract

This work proposes a distribution-free stochastic model updating framework to calibrate the joint probabilistic distribution of the multivariate correlated parameters. In this framework, the marginal distributions are defined as the staircase density functions and the correlation structure is described by the Gaussian copula function. The first four moments of the staircase density functions and the correlation coefficients are updated by an approximate Bayesian computation, in which the Bhattacharyya distance-based metric is proposed to define an approximate likelihood that is capable of capturing the stochastic discrepancy between model outputs and observations. The feasibility of the framework is demonstrated on two illustrative examples and a followed engineering application to the updating of a nonlinear dynamic system using observed time signals. The results demonstrate the capability of the proposed updating procedure in the very challenging condition where the prior knowledge about the distribution of the parameters is extremely limited (i.e., no information on the marginal distribution families and correlation structure is available).

Item Type:	Article
Uncontrolled Keywords:	Uncertainty quantification, Bayesian model updating, Staircase density function, Gaussian copula function, Bhattacharyya distance
Divisions:	Faculty of Science and Engineering > School of Engineering
Depositing User:	Symplectic Admin
Date Deposited:	27 May 2022 10:22
Last Modified:	03 May 2023 01:30
DOI:	10.1016/j.strusafe.2022.102227
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3155603