Study on the structural damage detection method using the flexibility matrix

Muyu Zhang; Xiaoyang Peng; Yujia Li; Ziping Wang; Jianguo Zhu; Jian  Zhang

Study on the structural damage detection method using the flexibility matrix

Authors

Muyu Zhang Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China https://orcid.org/0000-0001-9217-5753
Xiaoyang Peng Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China https://orcid.org/0000-0002-3377-4702
Yujia Li Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China https://orcid.org/0000-0002-9644-8170
Ziping Wang Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China https://orcid.org/0000-0002-5842-7977
Jianguo Zhu Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China https://orcid.org/0000-0002-8036-6058
Jian Zhang Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China https://orcid.org/0000-0002-7497-0646

Abstract

The flexibility matrix finds extensive application in detecting damage in civil and mechanical engineering structures, a focus explored in-depth within this paper. This study meticulously examines distinct components of the flexibility matrix, namely the proposed Diagonal of the Flexibility Matrix Vector (DFV) and a singular row/column of the flexibility matrix (RFV). Both DFV and RFV can be represented uniquely as a specialized form-a weighted combination of the Hadamard product of two mode shapes. Sensitivity analysis reveals that DFV undergoes a sharp change in proximity to damage, establishing it as a dependable indicator for pinpointing damage locations. Conversely, this characteristic is not consistently observed with RFV. The results of numerical simulations conducted on a 16-story frame structure corroborate the outcomes of the sensitivity analysis, underscoring the efficacy of DFV not only in localizing damage but also in gauging its severity. To illustrate the potential and limitations of DFV/RFV in practical scenarios, damage localization for the I-40 Bridge is provided.

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Published

2024-05-17

Issue

Vol. 21 No. 6 (2024)

Section

Articles

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