基于随机子空间方法的悬臂结构损伤识别研究

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (14) : 141-148.

论文

唐盛华1，方志2，张国刚3

作者信息 +

Damage identification of cantilever structures based on stochastic subspace method

TANG Shenghua¹,FANG Zhi², ZHANG Guogang³

Author information +

文章历史 +

摘要

为使用随机子空间方法对悬臂结构进行损伤判断和定位，对振动测量信号，利用数据驱动随机子空间识别方法得到随机状态空间模型，通过变换矩阵T、T1将离散状态空间矩阵A转化为特定形式，克服A矩阵的多样性问题。T矩阵采用A矩阵特征值分解后的特征向量矩阵构造，变换后的A矩阵用于判断结构是否存在损伤及相对损伤程度。T1矩阵采用A矩阵和离散输出矩阵C构造，变换后的A矩阵包含测点信息，用于结构损伤定位。损伤指标采用统计方法确定，由损伤前后样本马氏距离计算得到。通过一三自由度悬臂结构仿真算例和一座模型斜拉桥桥塔损伤试验，验证了该方法的有效性。

Abstract

In order to judge and locate the damage of cantilever structures by using the stochastic subspace identification (SSI) method, a datadriven SSI algorithm was proposed to identify the state matrix of vibration measurement signals. In order to consider the variousness of the state matrix A, two transformation matrixes T and T1 were built, so that the matrix A in different states could be converted to a specific state by using matrix T or T1. The matrix T was constructed by the feature vector matrix of eigenvalue decomposition of matrix A. The transformed matrix A was used to judge whether the structure was damaged or not and how the relative damage degree was. The matrix T1 was constructed by utilizing the matrix A and discrete output matrix C. The transformed matrix A contains measuring point informations, which can be used for structural damage localization. The damage index was determined by the statistical method, which was calculated according to the Mahalanobis distance of specimens before and after damage. The efficiency of the method was verified by a simulated cantilever structure with three degrees of freedom and the tower damage experiment of a model cablestayed bridge.

导出引用

唐盛华1，方志2，张国刚3. 基于随机子空间方法的悬臂结构损伤识别研究[J]. 振动与冲击, 2018, 37(14): 141-148

TANG Shenghua1,FANG Zhi2, ZHANG Guogang3. Damage identification of cantilever structures based on stochastic subspace method[J]. Journal of Vibration and Shock, 2018, 37(14): 141-148

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