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Structural Engineering and Mechanics Volume 80, Number 4, November25 2021 , pages 391-399 DOI: https://doi.org/10.12989/sem.2021.80.4.391 |
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A new crack size prediction method using damaged beam mode shape |
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Dimitrina D. Kindova-Petrova
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| Abstract | ||
| There are many mode shape damage localization methods but a few of them assess damage severity. In this paper a crack size prediction method using damaged beam mode shape is presented. The beam damaged sections are modelled by massless rotational springs, whose constants are calculated by the first and the second derivate of the mode shape using numerical differentiation. The method utilizes the relationship between the rotational spring constant and the size of an open single-sided crack with uniform depth in a rectangular cross section beam. The predicted crack depths are compared with the actual data from finite element models. The results obtained demonstrate that the proposed method correctly predicts the crack size in beam structures with single or multiple damages. | ||
| Key Words | ||
| cantilever beam; crack depth; mode shape; open single-sided crack; rectangular cross-section; rotational spring; simply supported beam | ||
| Address | ||
| Dimitrina D. Kindova-Petrova: Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, 1 Hristo Smirnenski Blvd, Sofia 1164, Bulgaria | ||