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Damage Localization Through Assignment of Invariant Eigenpairs

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European Workshop on Structural Health Monitoring (EWSHM 2022)

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 254))

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Abstract

The present paper reviews a method based on output feedback eigenstructure assignment for locating damage in minimum-phase structural systems with measurable input and output. The methodological concept is to assign a subset of eigenpairs invariant to a postulated damage pattern in one structural subdomain at a time and then locate damage when the assigned eigenpairs, in an idealized setting, do not change due to damage. In real applications, where strict invariance is unattainable, damage is located when the discrepancy between the assigned eigenpairs from the reference and damaged configurations is minimized. The required output feedback is realized through offline signal processing of input-output data collected from open-loop testing, and the eigenstructure assignment is formulated with eigenvalues and left eigenvectors. The principles of the method are reviewed and subsequently demonstrated in the context of a numerical example.

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Correspondence to Martin D. Ulriksen .

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Ulriksen, M.D., Memarzadeh, E., Bernal, D., Lopez, J.A. (2023). Damage Localization Through Assignment of Invariant Eigenpairs. In: Rizzo, P., Milazzo, A. (eds) European Workshop on Structural Health Monitoring. EWSHM 2022. Lecture Notes in Civil Engineering, vol 254. Springer, Cham. https://doi.org/10.1007/978-3-031-07258-1_74

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  • DOI: https://doi.org/10.1007/978-3-031-07258-1_74

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-07257-4

  • Online ISBN: 978-3-031-07258-1

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