基于奇异值分解和特征正交分解的结构损伤检测方法

杨斌 程军圣

振动与冲击 ›› 2014, Vol. 33 ›› Issue (22) : 164-167.

PDF(929 KB)
PDF(929 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (22) : 164-167.
论文

基于奇异值分解和特征正交分解的结构损伤检测方法

  • 杨斌 程军圣
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A structure damage detection method based on singular value decomposition and proper orthogonal decomposition

  • Yang Bin Cheng Junsheng
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文章历史 +

摘要

为了直接通过结构振动响应提取损伤特征参数,将奇异值分解和特征正交分解运用到结构响应分析中。该方法首先通过对结构响应功率谱矩阵的奇异值分解,获得模态频率,然后在模态频率处计算互相关矩阵,利用特征正交分解获得收敛于结构模态向量的特征正交模态,进而构建了损伤定位向量,最后通过结构单元应力的不同分布准确定位了损伤位置。实验数据分析结果表明,该方法能有效的进行损伤检测和定位。

Abstract

To extract the sensitive damage features directly from the structural vibration responses, the singular value decomposition and the proper orthogonal decomposition are applied to decompose the structural vibration response matrix into a set of proper orthogonal mode, which can represent the structure natural properties. The singular value decomposition is firstly applied to the structural vibration power spectral matrix to figure out the modal frequencies, then the correlation matrix can be calculated at each modal frequency. The proper orthogonal decomposition method is applied on the correlation matrix, so that the proper orthogonal mode can be got, and the proper orthogonal mode converges to the normal structural mode, so the proper orthogonal modes can be used to construct a damage locating vector, and the damage can be located through the different stress distribution of each elements. The experimental results show that the proposed method can detect and locate the damage effectively.

关键词

特征正交分解 / 奇异值分解 / 损伤定位向量 / 结构损伤检测

Key words

proper orthogonal decomposition / singular value decomposition / damage locating vector / structure damage detection

引用本文

导出引用
杨斌 程军圣. 基于奇异值分解和特征正交分解的结构损伤检测方法[J]. 振动与冲击, 2014, 33(22): 164-167
Yang Bin Cheng Junsheng. A structure damage detection method based on singular value decomposition and proper orthogonal decomposition[J]. Journal of Vibration and Shock, 2014, 33(22): 164-167

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