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Open AccessArticle

Enhanced Singular Value Truncation Method for Non-Destructive Evaluation of Structural Damage Using Natural Frequencies

1
School of Civil Engineering, Shaoxing University, Shaoxing, Zhejiang 312000, China
2
State Key Lab Water Resources & Hydropower Engineering School, Wuhan University, Wuhan 430072, China
*
Author to whom correspondence should be addressed.
Materials 2019, 12(7), 1021; https://doi.org/10.3390/ma12071021
Received: 21 February 2019 / Revised: 22 March 2019 / Accepted: 25 March 2019 / Published: 28 March 2019
(This article belongs to the Special Issue Non-destructive Testing of Materials in Civil Engineering)
As natural frequencies can be easily and accurately measured, structural damage evaluation by frequency changes is very common in engineering practice. However, this type of method is often limited by data, such as when the available natural frequencies are very few or contaminated. Although much progress has been made in frequency-based methods, there is still much room for improvement in calculation accuracy and efficiency. To this end, an enhanced singular value truncation method is proposed in this paper to evaluate structural damage more effectively by using a few lower order natural frequencies. The main innovations of the enhanced singular value truncation method lie in two aspects: The first is the normalization of linear systems of equations; the second is the multiple computations based on feedback evaluation. The proposed method is very concise in theory and simple to implement. Two numerical examples and an experimental example are employed to verify the proposed method. In the numerical examples, it was found that the proposed method can successively obtain more accurate damage evaluation results compared with the traditional singular value truncation method. In the experimental example, it was shown that the proposed method possesses more precise and fewer calculations compared with the existing optimization algorithms. View Full-Text
Keywords: non-destructive evaluation; structural damage; natural frequency; singular value truncation; multiple feedbacks; data noise non-destructive evaluation; structural damage; natural frequency; singular value truncation; multiple feedbacks; data noise
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MDPI and ACS Style

Yang, Q.; Wang, C.; Li, N.; Wang, W.; Liu, Y. Enhanced Singular Value Truncation Method for Non-Destructive Evaluation of Structural Damage Using Natural Frequencies. Materials 2019, 12, 1021.

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