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Damage identification of cantilever structures based on stochastic subspace method |
TANG Shenghua1,FANG Zhi2, ZHANG Guogang3 |
1. College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, China;
2. College of Civil Engineering, Hunan University, Changsha 410082, China;
3. Hunan Provincial Communications Planning, Survey & Design Institute,Changsha 410008, China |
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Abstract In order to judge and locate the damage of cantilever structures by using the stochastic subspace identification (SSI) method, a datadriven 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 T1 were built, so that the matrix A in different states could be converted to a specific state by using matrix T or T1. 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 T1 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 cablestayed bridge.
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Received: 15 March 2017
Published: 15 July 2018
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