Research on damage identification of beam members based on L1 norm vibration transmissibility

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (10) : 8-14.

SUN Yi1,2，MA Kun1，LIU Dewen2，SHENG Dongfa2

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Abstract

Based on the characteristic that the transfer rate function gives the functional relationship between the output responses of each measuring point of the structure in the frequency domain without measuring the input load information of the structure, a L1 norm normalized transfer rate function structural damage identification method is proposed. Firstly, the transmissibility function matrix is constructed by analyzing the acceleration response data in the frequency domain. The principal component analysis method is used to reduce the dimension of the transmissibility frequency domain features, extract the features highly related to the damage characteristics of the beam structure, and judge whether the structure is damaged based on whether the principal components in different states deviate; Secondly, if the structure is damaged, the transmissibility function before and after the damage will change. The L1 norm normalized transmissibility function is used to construct the L1 norm normalized transmissibility function damage index. Numerical simulation and experimental results show that this method can effectively identify different damage locations and degrees of structures, with high identification accuracy and certain noise robustness.

Key words

damage identification;vibration transmissibility;L1 norm / principal component analysis

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SUN Yi1,2，MA Kun1，LIU Dewen2，SHENG Dongfa2. Research on damage identification of beam members based on L1 norm vibration transmissibility[J]. Journal of Vibration and Shock, 2023, 42(10): 8-14

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