Abstract
In this study, a novel two-stage plastic-state detection strategy is studied. In the first stage, discrete wavelet transform (DWT) is used to obtain the low-frequency response signal. The Hankel matrix is constructed with a low-frequency response signal, and singular value decomposition (SVD) is used to divide the null space and non-null space. The index degree of nonlinearity (DoN) was proposed for plasticity detection, and the corresponding limit of linearity (LLI) was constructed. In the second stage, based on DWT and fast independent component analysis, normalized source distribution vector (NSDV) was proposed to locate the structural damage. The method was verified by numerical simulation and a three-story frame test. The results show that when the structure is in an elastic state, DoN is less than LLI; when the structure enters the plastic state, DoN is larger than LLI and increases with the enhancement of plastic degree; thus, the proposed index NSDV can locate the structural damage. The proposed method can be used for structural plasticity detection and damage location, and has strong robustness and engineering practicability.
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Acknowledgements
The authors express their appreciation for financial support from the National Natural Science Foundation of China (Grant No. 51808119), Open Funds of Fujian Provincial Key Laboratory of Advanced Technology and Informatization in Civil Engineering (Grant No. KF-T19006), Scientific Research Fund of Institute of Engineering Mechanics, China Earthquake Administration (Grant No. 2020EEEVL0402) and China Postdoctoral Science Foundation (Grant No.2020M682101).
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Ma, SL., Liu, YH. & Jiang, SF. Structural performance assessment by acceleration measurements based on null space method and fast independent component analysis for the frame-shear wall structure under earthquake wave. J Civil Struct Health Monit 12, 1027–1041 (2022). https://doi.org/10.1007/s13349-022-00575-3
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DOI: https://doi.org/10.1007/s13349-022-00575-3