
基于奇异值分解和特征正交分解的结构损伤检测方法
A structure damage detection method based on singular value decomposition and proper orthogonal decomposition
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.
特征正交分解 / 奇异值分解 / 损伤定位向量 / 结构损伤检测 {{custom_keyword}} /
proper orthogonal decomposition / singular value decomposition / damage locating vector / structure damage detection {{custom_keyword}} /
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