Details
Original language | English |
---|---|
Article number | 112259 |
Journal | Mechanical Systems and Signal Processing |
Volume | 225 |
Early online date | 7 Jan 2025 |
Publication status | E-pub ahead of print - 7 Jan 2025 |
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
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Signal Processing
- Engineering(all)
- Civil and Structural Engineering
- Engineering(all)
- Aerospace Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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In: Mechanical Systems and Signal Processing, Vol. 225, 112259, 15.02.2025.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The Bayesian pattern search, a deterministic acceleration of Bayesian model updating in structural health monitoring
AU - Dierksen, Niklas
AU - Hofmeister, Benedikt
AU - Hübler, Clemens
N1 - Publisher Copyright: © 2024 The Authors
PY - 2025/1/7
Y1 - 2025/1/7
N2 - 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.
AB - 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.
KW - Bayesian model updating
KW - Experimental validation
KW - Global optimisation
KW - Structural health monitoring
KW - Uncertainty quantification
UR - http://www.scopus.com/inward/record.url?scp=85214299553&partnerID=8YFLogxK
U2 - 10.1016/j.ymssp.2024.112259
DO - 10.1016/j.ymssp.2024.112259
M3 - Article
AN - SCOPUS:85214299553
VL - 225
JO - Mechanical Systems and Signal Processing
JF - Mechanical Systems and Signal Processing
SN - 0888-3270
M1 - 112259
ER -