Structural load identification and response reconstruction based on a hybrid regularization method

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (6) : 104-112.

PENG Zhenrui，ZHOU Xuewen

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Abstract

To identify the load and reconstruct the unknown response using the acceleration response of the finite structural measurement points, a hybrid regularization method combining the least square minimal residual algorithm and Tikhonov regularization method is proposed to solve the ill-posedness of load identification and response reconstruction of structures. Firstly, the transfer matrix of the structure is constructed based on the time-domain state-space model, and the load identification and response reconstruction equations are established. Secondly, the hybrid regularization method is used to improve the ill-posedness of the load identification, and the regular solution of the load is obtained. The displacement, velocity and acceleration responses of the structure are reconstructed by combining the transfer matrix of the response reconstruction equation. Finally, the proposed method is verified by numerical simulation and experimental analysis of simply supported beams. The results show that the proposed method can improve the ill-posedness of the reconstruction equation and effectively reconstruct the unknown load and various types of response of the structure.

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load identification / response reconstruction / ill-posedness / transfer matrix / hybrid regularization

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PENG Zhenrui，ZHOU Xuewen. Structural load identification and response reconstruction based on a hybrid regularization method[J]. Journal of Vibration and Shock, 2024, 43(6): 104-112

References

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