Study on damage recognition method of beam structural based on generalized flexibility matrix and information entropy

Abstract

Abstract: The beam structural damage recognition method based on a flexible matrix is a more sensitive damage power fingerprints compared to frequency and modality. In view of the sensitivity advantage of a generalized flexibility matrix in structural injury recognition and combining information entropy theory, a generalized flexibility matrix entropy curvature difference indicator (GFMECD) is proposed as a new method for structural damage recognition.By establishing the finite element numerical models of a simply supported beam and the continuous beam, the feasibility and effectiveness of the proposed indicators is verified. The results show that, regardless of single-point damage or multi-point damage, the GFMECD index can accurately identify the location of both single-point and multi-point structural damage, exhibiting strong noise robustness. Additionally, it provides a preliminary assessment of the damage severity, making it suitable for damage localization and initial quantification in structures with varying damage degrees.

Key words: beam structure, generalized flexibility matrix, information entropy, damage recognition, damage assessment curve

CLC Number:

TU311
TU37

XIANG Chang-sheng, ZHAO Ran, ZHOU Yu, WANG Li-xian, LIU Hai-long. Study on damage recognition method of beam structural based on generalized flexibility matrix and information entropy[J]. Journal of Lanzhou University of Technology, 2025, 51(2): 126-134.

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