Solving a linear equation set constructed with structural physical and modal information to acquire a structure’s damage location and damage level is a common method in structural damage detection.However, under effects of noise, oscillation and divergence phenomena may appear in solving to cause incorrect structural damage detection results.Tikhonov regularization method is widely used to solve linear systems under noise condition, and the key point to correctly apply this method is choosing an appropriate regularization matrix and regularization parameters.Here, a Tikhonov regularization iterative method (TRIM) was proposed to reconstruct regularization matrix through iteration, effectively suppress noise and retain actual damage information.Meanwhile, the singular value dichotomy was proposed to adaptively adjust regularization parameters and avoid mass trial calculation for selecting these parameters using the traditional "L-curve" method.An offshore platform structure was selected to verify the effectiveness of the proposed method, and compare the results using TRIM with those using the traditional Tikhonov regularization method.The results showed that the proposed TRIM has better damage identification results.
XIA Zhipeng WANG Shuqing XU Mingqiang WANG Haoyu .
Structural damage identification based on TRIM[J]. Journal of Vibration and Shock, 2019, 38(17): 251-259
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