An Efficient Natural Frequency-Based Method for Crack Identification in Beams

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Dimitrina KINDOVA-PETROVA

Abstract

In recent years, frequency-based damage detection methods have attracted considerable research interest due to their cost-effectiveness, ease of implementation, and capability to detect structural damage. Such methods can be employed to localize and quantify damage by analyzing changes in natural frequencies. This paper presents a deterministic frequency-based crack identification method for beams. The crack is modeled as a massless rotational spring, and both the crack location and the associated stiffness reduction are identified through a computational procedure that exploits the analytical relationship between modal parameters and local stiffness variations. The proposed formulation employs multi-mode aggregation using the first three natural frequencies together with a modal calibration (“zero-setting”) procedure, which improves robustness with respect to modeling discrepancies. To validate the proposed approach, a MATLAB-based program has been developed incorporating six different static schemes. The method is evaluated using data obtained from finite element models with various crack locations and severities. For beams with a rectangular cross-section, the program additionally enables estimation of crack depth. The results indicate that the proposed method allows accurate prediction of both crack location and severity when damage induces measurable changes in natural frequencies.

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How to Cite
[1]
2025. An Efficient Natural Frequency-Based Method for Crack Identification in Beams. Romanian Journal of Acoustics and Vibration. 22, 2 (Dec. 2025), 204–219.
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Articles

How to Cite

[1]
2025. An Efficient Natural Frequency-Based Method for Crack Identification in Beams. Romanian Journal of Acoustics and Vibration. 22, 2 (Dec. 2025), 204–219.

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