An effective implementation of reliability methods for Bayesian model updating of structural dynamic models with multiple uncertain parameters

authored by
D. J. Jerez, H. A. Jensen, M. Beer
Abstract

The implementation of reliability methods in the framework of Bayesian model updating of structural dynamic models using measured responses is explored for high-dimensional model parameter spaces. The formulation relies on a recently established analogy between Bayesian updating problems and reliability problems. Under this framework, samples following the posterior distribution of the Bayesian model updating problem can be obtained as failure samples in an especially devised reliability problem. An approach that requires only minimal modifications to the standard subset simulation algorithm is proposed and implemented. The scheme uses an adaptive strategy to select the threshold value that determines the last subset level. Due to the basis of the formulation, the approach does not make use of any problem-specific information and, therefore, any type of structural model can be considered. The approach is combined with an efficient parametric model reduction technique for an effective numerical implementation. The performance of the proposed implementation is assessed numerically for a linear building model and a nonlinear three-dimensional bridge structural model. The results indicate that the proposed implementation represents an effective numerical technique to address high-dimensional Bayesian model updating problems involving complex structural dynamic models.

Organisation(s)
Institute for Risk and Reliability
External Organisation(s)
Universidad Tecnica Federico Santa Maria
Tongji University
University of Liverpool
Type
Article
Journal
Reliability Engineering and System Safety
Volume
225
ISSN
0951-8320
Publication date
09.2022
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Safety, Risk, Reliability and Quality, Industrial and Manufacturing Engineering
Electronic version(s)
https://doi.org/10.1016/j.ress.2022.108634 (Access: Closed)