A structure damage detection method based on singular value decomposition and proper orthogonal decomposition

Yang Bin Cheng Junsheng

Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (22) : 164-167.

PDF(929 KB)
PDF(929 KB)
Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (22) : 164-167.
论文

A structure damage detection method based on singular value decomposition and proper orthogonal decomposition

  • Yang Bin Cheng Junsheng
Author information +
History +

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.

Key words

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

Cite this article

Download Citations
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
PDF(929 KB)

Accesses

Citation

Detail

Sections
Recommended

/