基于频响函数的结构健康监测主成分分析法

朱军华;;余岭;

振动与冲击 ›› 2011, Vol. 30 ›› Issue (5) : 111-115.

PDF(1774 KB)
PDF(1774 KB)
振动与冲击 ›› 2011, Vol. 30 ›› Issue (5) : 111-115.
论文

基于频响函数的结构健康监测主成分分析法

  • 朱军华1, 2;余岭1, 2
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A PCA-BASED ALGORITHM FOR STRUCTURAL HEALTH MONITORING USING FREQUENCY RESPONSE FUNCTIONS

  • ZHU Junhua1,2; YU Ling1,2
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摘要

摘 要:基于测试频响函数,提出一种简单而有效的结构健康监测主成分分析(PCA)新方法。以结构的频响函数作为基本数据,首先将结构健康状态下的频响函数数据作为基本训练样本,通过PCA技术提取结构健康状态特征,并获得结构健康特征变换矩阵,即协方差的特征向量矩阵;然后再对损伤结构的测试频响函数数据进行转换以提取结构相应损伤状态特征;最后在二维PCA空间比较两次提取的结构状态特征分布图即可判断结构是否发生损伤并评估其损伤程度。两个数值算例表明基于频响函数的结构健康监测主成分分析新方法正确有效。该方法基于结构振动响应,与模型无关且诊断前无需大量的训练样本、计算量小、抗噪性能好,具有良好的应用前景。




Abstract

Abstract: Based on measured Frequency Response Functions (FRFs), an easier and more efficient method for structural health monitoring is proposed by using Principle Component Analysis (PCA) in this paper. The FRFs of the healthy and damaged structure are used as initial data. The method uses a PCA transform technique to obtain the features of intact structure, also called the Principle Components (PCs), in which an orthogonal transformation matrix packed by the first few eigenvectors of covariance matrix can be found. Further, the orthogonal transformation matrix is applied to the FRFs of damage structures so as to find the features of the corresponding damage state of structures. Both structural damage detection and structural health monitoring can be achieved by comparing the two dimensional PCs distribution charts respectively corresponding to the damaged and to the healthy state of structures. Two numerical simulation examples show that the proposed method is correct, effective and feasible. Because it is based purely on the analysis of the vibration responses of structures, which makes it quite easy to perform and demonstrates its adaptability to structural health monitoring in field.

关键词

主成分分析 / 频响函数 / 损伤识别 / 结构健康监测

Key words

principle component analysis / frequency response function / damage detection / structural health monitoring

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导出引用
朱军华;;余岭;. 基于频响函数的结构健康监测主成分分析法 [J]. 振动与冲击, 2011, 30(5): 111-115
ZHU Junhua;YU Ling;. A PCA-BASED ALGORITHM FOR STRUCTURAL HEALTH MONITORING USING FREQUENCY RESPONSE FUNCTIONS[J]. Journal of Vibration and Shock, 2011, 30(5): 111-115

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