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A stochastic multi-objective optimisation approach for damage localisation via model updating with uncertain input parameters

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Original languageEnglish
Article number119860
Pages (from-to)119860
JournalEngineering structures
Volume330
Publication statusPublished - 1 May 2025

Abstract

In structural health monitoring, model updating is one of the approaches employed to localise damage. It is based on identifying the changed stiffness properties of the damaged structure by minimising the difference between measurement data and simulation results from a mechanical model. Uncertainties in the measurements significantly impact the accuracy of the model updating procedure and can be incorporated using stochastic model updating approaches. Additionally, a single metric is often insufficient for an unambiguous comparison of the model and the measurement data, which necessitates the use of multi-objective optimisation algorithms when minimising the difference. The intersection between stochastic and multi-objective model updating, i.e., stochastic multi-objective model updating problems, has not yet been considered in a rigorous way. This contribution tackles the issue by adapting a deterministic multi-objective optimisation approach to account for uncertainties in the objective functions without having a significant negative impact on the computing times. The approach is applied to measurement data concerning an outdoor experimental structure, and the results of stochastic and deterministic multi-objective optimisation approaches are compared. The results show that the uncertainty is successfully propagated and reflected in the identified stiffness properties, which can provide valuable insight into the influence of the uncertain input parameters.

Keywords

    Damage localisation, Model updating, Stochastic multi-objective optimisation, Uncertainty propagation

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A stochastic multi-objective optimisation approach for damage localisation via model updating with uncertain input parameters. / Ragnitz, Jasper; Hofmeister, Benedikt; Jonscher, Clemens et al.
In: Engineering structures, Vol. 330, 119860, 01.05.2025, p. 119860.

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abstract = "In structural health monitoring, model updating is one of the approaches employed to localise damage. It is based on identifying the changed stiffness properties of the damaged structure by minimising the difference between measurement data and simulation results from a mechanical model. Uncertainties in the measurements significantly impact the accuracy of the model updating procedure and can be incorporated using stochastic model updating approaches. Additionally, a single metric is often insufficient for an unambiguous comparison of the model and the measurement data, which necessitates the use of multi-objective optimisation algorithms when minimising the difference. The intersection between stochastic and multi-objective model updating, i.e., stochastic multi-objective model updating problems, has not yet been considered in a rigorous way. This contribution tackles the issue by adapting a deterministic multi-objective optimisation approach to account for uncertainties in the objective functions without having a significant negative impact on the computing times. The approach is applied to measurement data concerning an outdoor experimental structure, and the results of stochastic and deterministic multi-objective optimisation approaches are compared. The results show that the uncertainty is successfully propagated and reflected in the identified stiffness properties, which can provide valuable insight into the influence of the uncertain input parameters.",
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