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2021 | OriginalPaper | Buchkapitel

A New Concept Regarding the Modeling of Steel Cantilever Beams with Branched Cracks: A Case Study

verfasst von : Gilbert-Rainer Gillich, Cristian Tufisi, Dorian Nedelcu, Zeno-Iosif Praisach, Codruta Oana Hamat

Erschienen in: European Workshop on Structural Health Monitoring

Verlag: Springer International Publishing

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Abstract

In this paper, we present a simple predictive model to estimate the natural frequencies of steel cantilever beams with branched cracks. The model considers the cracked beam as a beam with constant cross-section, on which acts an equivalent bending moment. This bending moment takes into account the modification of the rigidity on the beam segment on which the crack extends in the longitudinal direction and the additional rotation that occurs in the slices located at the ends of the damaged segment. Along with the theoretical background and the deduced mathematical model, we present several cases of deterioration defined by the depth of the transverse crack branch respectively the position and the extension of the longitudinal branch. These examples prove the accuracy of the predictions regarding the change of the natural frequencies due to the damage obtained with the proposed model.

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Titel: A New Concept Regarding the Modeling of Steel Cantilever Beams with Branched Cracks: A Case Study
verfasst von: Gilbert-Rainer Gillich
Cristian Tufisi
Dorian Nedelcu
Zeno-Iosif Praisach
Codruta Oana Hamat
Verlag: Springer International Publishing
Buch: European Workshop on Structural Health Monitoring
Print ISBN: 978-3-030-64907-4

Electronic ISBN: 978-3-030-64908-1

Copyright-Jahr: 2021
DOI: https://doi.org/10.1007/978-3-030-64908-1_19

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