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Localization and Degree of Damage Based on Relative Curvature Difference and Frequency Perturbation

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Abstract

This study proposed a damage identification method compared with the existing ones, based on relative curvature difference and frequency perturbation theory, showing sensitivity to local damage by changes in the curvature mode and high recognition accuracy of frequencies. Considering the relative curvature difference as a damage index, numerical simulation is used for a simply supported beam under single and multiple damage conditions for different damage degrees. The damage is located according to the curvature mode curves, and the damage degree is qualitatively determined. Based on the perturbation theory, the damage equations are established by the changes between frequencies before and after damage, and the damage localization and degree are verified and determined. Effectiveness of the proposed method for identifying damage at different conditions is numerically investigated. This method potentially promotes the development of damage identification of beam structures.

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Acknowledgements

This study is supported by the National Natural Science Foundation of China under Grant No. 51278420, and the Natural Science Foundation of Shaanxi Province under Grant No. 2017JM5021.

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Authors and Affiliations

  1. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, 710129, China

    Mengying Li, Ziyan Wu, Haifeng Yang & Feng Yue

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  1. Mengying Li
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  2. Ziyan Wu
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  3. Haifeng Yang
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  4. Feng Yue
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Correspondence to Mengying Li.

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Li, M., Wu, Z., Yang, H. et al. Localization and Degree of Damage Based on Relative Curvature Difference and Frequency Perturbation. Acta Mech. Solida Sin. 33, 187–204 (2020). https://doi.org/10.1007/s10338-019-00138-y

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  • DOI: https://doi.org/10.1007/s10338-019-00138-y

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