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Identification of Damage in Beams by Modal Curvatures Using Acoustic Beamformers
Version 1
: Received: 31 August 2023 / Approved: 31 August 2023 / Online: 1 September 2023 (03:34:57 CEST)
A peer-reviewed article of this Preprint also exists.
Pau, A.; Eroğlu, U. Identification of Damage in Beams by Modal Curvatures Using Acoustic Beamformers. Appl. Sci. 2023, 13, 10557. Pau, A.; Eroğlu, U. Identification of Damage in Beams by Modal Curvatures Using Acoustic Beamformers. Appl. Sci. 2023, 13, 10557.
Abstract
This paper presents an approach to damage identification in beams by modal curvatures based on the use of beamforming algorithms. These processors have been successfully used in acoustics for the last thirty years to solve the inverse problems encountered in source recognition and image reconstruction, based on ultrasonic waves. In addition, beamformers apply to a broader range of problems in which the forward solutions are computable and measurable, especially regarding the field of structural vibrations, where the use of such estimators has not received attention to date. In this paper, modal curvatures will play the role of the replica vectors of the imaging field. By means of numerical studies and experimental tests on a steel beam, we motivate the choice of modal curvatures as observed quantities. Furthermore, we compare the performance of the Bartlett and minimum variance distortionless beamformers (MVDR) with an estimator based on the simple minimization of the difference between model and measured data. The results suggest that the application of the MVDR beamformer is highly effective, especially in cases of slight damage between two sensors. MVDR enabled both damage localization, and quantification.
Keywords
damage identification; modal curvature; beamforming algorithms; MVDR
Subject
Engineering, Civil Engineering
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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