The Bayesian pattern search, a deterministic acceleration of Bayesian model updating in structural health monitoring

authored by: Niklas Dierksen, Benedikt Hofmeister, Clemens Hübler
Abstract: Finite element (FE) model updating is a popular tool for damage localisation and quantification in structural health monitoring (SHM) of buildings, infrastructure and wind turbines. Considering the prevailing uncertainty in these applications is very important to achieving reliable results. Bayesian model updating (BMU) is a promising and well-investigated method for uncertainty quantification in SHM. BMU methods require many model evaluations to solve the updating problem. Therefore, they cannot always be applied to real-world examples, where FE simulations with considerable computational time must be performed for every model evaluation. In this work, the global pattern search algorithm (GPS), a deterministic global optimisation, is used to accelerate BMU in a two-step approach. The approach is therefore called “Bayesian pattern search” (BPS). The efficient deterministic GPS algorithm is used as a first step to solve the model-updating problem deterministically. After this, the well-established Bayesian model-updating method, the transitional Markov chain Monte Carlo (TMCMC) method, is used to quantify the influence of the prevailing uncertainty associated with the model-updating problem. The BPS method is tested using a simulated two-mass oscillator and a laboratory steel beam featuring a reversible damage mechanism and real measurement data. The results show that the new approach BPS is able to produce results similar to those of the conventional Bayesian TMCMC approach, but at a significantly improved numerical performance, which can make it approximately 17 times faster.
Organisation(s): Institute of Structural Analysis
External Organisation(s): Technische Universität Darmstadt
Type: Article
Journal: Mechanical Systems and Signal Processing
Volume: 225
ISSN: 0888-3270
Publication date: 15.02.2025
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Control and Systems Engineering, Signal Processing, Civil and Structural Engineering, Aerospace Engineering, Mechanical Engineering, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.ymssp.2024.112259 (Access: Open)

BibTeX

@article{40411b77d39d4d95a003453636537f98,
title = "The Bayesian pattern search, a deterministic acceleration of Bayesian model updating in structural health monitoring",
abstract = "Finite element (FE) model updating is a popular tool for damage localisation and quantification in structural health monitoring (SHM) of buildings, infrastructure and wind turbines. Considering the prevailing uncertainty in these applications is very important to achieving reliable results. Bayesian model updating (BMU) is a promising and well-investigated method for uncertainty quantification in SHM. BMU methods require many model evaluations to solve the updating problem. Therefore, they cannot always be applied to real-world examples, where FE simulations with considerable computational time must be performed for every model evaluation. In this work, the global pattern search algorithm (GPS), a deterministic global optimisation, is used to accelerate BMU in a two-step approach. The approach is therefore called “Bayesian pattern search” (BPS). The efficient deterministic GPS algorithm is used as a first step to solve the model-updating problem deterministically. After this, the well-established Bayesian model-updating method, the transitional Markov chain Monte Carlo (TMCMC) method, is used to quantify the influence of the prevailing uncertainty associated with the model-updating problem. The BPS method is tested using a simulated two-mass oscillator and a laboratory steel beam featuring a reversible damage mechanism and real measurement data. The results show that the new approach BPS is able to produce results similar to those of the conventional Bayesian TMCMC approach, but at a significantly improved numerical performance, which can make it approximately 17 times faster.",
keywords = "Bayesian model updating, Experimental validation, Global optimisation, Structural health monitoring, Uncertainty quantification",
author = "Niklas Dierksen and Benedikt Hofmeister and Clemens H{\"u}bler",
note = "Publisher Copyright: {\textcopyright} 2024 The Authors",
year = "2025",
month = feb,
day = "15",
doi = "10.1016/j.ymssp.2024.112259",
language = "English",
volume = "225",
journal = "Mechanical Systems and Signal Processing",
issn = "0888-3270",
publisher = "Academic Press Inc.",
}