Summary
In this article, a new advantageous approach for damage identification of mechanical structures based on state projection estimation error (SP2E) is proposed. The theoretical foundation relies on output‐only identification,
H∞ theory, estimation error, and state projections. Finally, the proposed damage identification approach is verified by discussing results of laboratory experiments. Therein, structural changes have been applied at a mechanical structure, and the capability to localize them by SP2E has been studied subsequently. By analyzing several different structural alteration positions and extents, an experimental sensitivity study has been conducted, which confirmed the applicability of SP2E for damage localization.
Zusammenfassung Die Deutsche Gesellschaft für Erdbebeningenieurwesen und Baudynamik e. V. (DGEB) hat die Dissertation von Dr.-Ing. Max Vollmering mit dem DGEB-Förderpreis – Promotion 2018 ausgezeichnet. In der Dissertation wird eine neue Methode der Schadenslokalisation theoretisch hergeleitet und im Labor experimentell verifiziert: Sie trägt den Namen State Projection Estimation Error (SP2E) und basiert auf der Subspace Identifikation mechanischer Strukturen, der Kreinraum basierten H-∞ Schätztheorie und schiefen Projektionen. In der wissenschaftlichen Arbeit werden verschiedene Theorien diskutiert und mittels Laborversuchen verifiziert.
In this article, the authors elaborate the theory and application of the state projection estimation error (SP2E) method. SP2E has been developed to efficiently localize structural damage. The authors begin by discussing some estimation techniques for damage identification. Because exact analytical mechanical parameters and structural excitations are often unknown for real large-scale structures, the parametrization of a mechanical system by stochastic subspace identification is considered. This leads to discrete-time state space parameters and is the basis for ∞ estimation, which allows to cope with unknown structural excitations. For damage localization, we applied SP2E and compared the result afterwards to a defined difference process. This led to the proposed damage identification procedure, which finally is applied in real laboratory experiments. Based on a discussion of different estimation techniques and their numerical application, the experimental results confirm the method SP2E. KEYWORDS damage localization, H-infinity estimation, oblique projections in linear algebra, output only identification, structural health monitoring Struct Control Health Monit. 2018;25:e2237.wileyonlinelibrary.com/journal/stc
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