The application of conjugate gradient least squares iteration regularization algorithm in impact load identification

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (22) : 176-182.

LU Li-qin1,2, QIAO Bai-jie1, ZHANG Xing-wu1, CHEN Xue-feng1

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Abstract

Regularization methods should be developed to overcome the ill-posedness of inverse problem of structural dynamic load identification for a stable solution. The conjugate gradient least squares (CGLS) iterative regularization algorithm has several advantages over direct regularization methods such as Tikhonov method on solving inverse problem: the inversion of matrix is not required; no explicit regularization parameter is required. In this paper, the CGLS iteration regularization algorithm with the heuristic stopping rule is proposed to reconstruct the impact load acting on the three-degrees-of-freedom system and the shell structure, compared to the classical Landweber iteration regularization algorithms and Tikhonov regularization method. Simulation and experiment demonstrates that the CGLS algorithm for impact load identification works better in accuracy, convergence rate, cost time and anti-noise.

Key words

conjugate gradient least squares algorithm / Landweber algorithm / impact load identification / regularization method

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LU Li-qin1,2, QIAO Bai-jie1, ZHANG Xing-wu1, CHEN Xue-feng1. The application of conjugate gradient least squares iteration regularization algorithm in impact load identification[J]. Journal of Vibration and Shock, 2016, 35(22): 176-182

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