Multi-Objective Model Updating of Tower Structures Featuring Closely Spaced Modes

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Original languageEnglish
Journale-Journal of Nondestructive Testing
Volume29
Issue number7
Publication statusPublished - 1 Jul 2024

Abstract

This study presents a multi-objective model updating technique and its application to a tower structure featuring closely spaced bending modes with the aim of localising structural damage. In structural health monitoring, modal characteristics, such as eigenfrequencies and mode shapes, serve as indicators for damage detection and localisation. Specifically, model updating strategies adjust the local structural stiffness in a finite element model to reduce the difference between these identified modal quantities and the corresponding modal properties of the model. Consequently, the best-fitting structural stiffness properties, which represent the damaged state of the structure, can provide valuable information about the damage that has occurred. Symmetrical tower structures can pose a challenge to model updating approaches as they typically possess closely spaced modes which are difficult to identify due to spatial orientation and alignment uncertainties. Consequently, the direct comparison between the mode shapes of the structure and the model yields poor results, regardless of apparent similarities in the dominant mode shapes. In order to overcome this problem, we adapt the concept of the subspace of order 2 modal assurance criterion (S2MAC), i.e., finding the best representation of a vector in a subspace spanned by two bending modes. By adapting this concept, this study solves mode shape alignment problems between real structures and models, thus allowing a comparison of the actual dominant mode shapes. The method is validated using an experimental 9 m tall lattice tower with reversible damage characteristics. Ambient vibrations of the structure are continuously recorded using acceleration sensors placed at different height levels. Mode shapes and eigenfrequencies, identified using the BAYOMA method, are employed for multi-objective model updating, resulting in multiple Pareto-optimal solutions. The damage localisation is applied to datasets recorded over a time span of several months featuring three different damage positions. The results obtained prove the necessity of a multi-objective approach and the consideration of mode orientation for the application example used.

Keywords

    closely spaced modes, damage localisation, environmental variation, model updating, multi-objective optimisation

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Multi-Objective Model Updating of Tower Structures Featuring Closely Spaced Modes. / Ragnitz, Jasper; Hofmeister, Benedikt; Jonscher, Clemens et al.
In: e-Journal of Nondestructive Testing, Vol. 29, No. 7, 01.07.2024.

Research output: Contribution to journalArticleResearch

Ragnitz J, Hofmeister B, Jonscher C, Hübler C, Rolfes R. Multi-Objective Model Updating of Tower Structures Featuring Closely Spaced Modes. e-Journal of Nondestructive Testing. 2024 Jul 1;29(7). doi: 10.58286/29663
Ragnitz, Jasper ; Hofmeister, Benedikt ; Jonscher, Clemens et al. / Multi-Objective Model Updating of Tower Structures Featuring Closely Spaced Modes. In: e-Journal of Nondestructive Testing. 2024 ; Vol. 29, No. 7.
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abstract = "This study presents a multi-objective model updating technique and its application to a tower structure featuring closely spaced bending modes with the aim of localising structural damage. In structural health monitoring, modal characteristics, such as eigenfrequencies and mode shapes, serve as indicators for damage detection and localisation. Specifically, model updating strategies adjust the local structural stiffness in a finite element model to reduce the difference between these identified modal quantities and the corresponding modal properties of the model. Consequently, the best-fitting structural stiffness properties, which represent the damaged state of the structure, can provide valuable information about the damage that has occurred. Symmetrical tower structures can pose a challenge to model updating approaches as they typically possess closely spaced modes which are difficult to identify due to spatial orientation and alignment uncertainties. Consequently, the direct comparison between the mode shapes of the structure and the model yields poor results, regardless of apparent similarities in the dominant mode shapes. In order to overcome this problem, we adapt the concept of the subspace of order 2 modal assurance criterion (S2MAC), i.e., finding the best representation of a vector in a subspace spanned by two bending modes. By adapting this concept, this study solves mode shape alignment problems between real structures and models, thus allowing a comparison of the actual dominant mode shapes. The method is validated using an experimental 9 m tall lattice tower with reversible damage characteristics. Ambient vibrations of the structure are continuously recorded using acceleration sensors placed at different height levels. Mode shapes and eigenfrequencies, identified using the BAYOMA method, are employed for multi-objective model updating, resulting in multiple Pareto-optimal solutions. The damage localisation is applied to datasets recorded over a time span of several months featuring three different damage positions. The results obtained prove the necessity of a multi-objective approach and the consideration of mode orientation for the application example used.",
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