基于L1范数振动传递率的梁构件损伤识别研究

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (10) : 8-14.

论文

孙毅1,2，马琨1，刘德稳2，盛冬发2

作者信息 +

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

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

Author information +

文章历史 +

摘要

基于传递率函数在频域给定结构各测点输出响应间的函数关系而无需测量结构输入荷载信息的特点，提出了L1范数归一化传递率函数结构损伤识别方法。首先对加速度响应数据频域分析构建传递率函数矩阵，通过主成分分析法实现传递率频域特征的降维，提取与梁结构损伤特征高度相关的特征，以不同状态下的主成分有无发生偏离为依据来判断结构是否发生了损伤；其次，结构如果发生损伤，其损伤前后的传递率函数会发生变化。将传递率函数进行L1范数归一化，构建L1范数归一化传递率函数损伤指标。数值仿真和实验结果表明，此方法可有效识别结构不同的损伤位置及程度，识别精度高，具有一定的噪声鲁棒性。

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.

导出引用

孙毅1,2，马琨1，刘德稳2，盛冬发2. 基于L1范数振动传递率的梁构件损伤识别研究[J]. 振动与冲击, 2023, 42(10): 8-14

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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