Applying Improved Tikhonov Regularization Method to Excitation Identification and Response Reconstruction of A Structure
In order to improve the ill-condition of a transfer matrix and realize the effective reconstruction of the external excitation and unknown response of a structure with its limited measurement information,the improved Tikhonov regularization method for the excitation identification and response reconstruction of the structure is proposed.Firstly,the transfer matrix is constructed based on the state space model,and the external excitation identification and response reconstruction equations are derived.Then,the improved Tikhonov regularization method is used to improve the ill-condition of the transfer matrix.The regularization solution of the excitation equation is obtained.The unknown acceleration response is reconstructed by combining transfer matrixe that correspond to the position of the structure to be reconstructed.Finally,the numerical simulation and experimental analysis of a two-dimensional truss and a simply supported beam verify the feasibility of the proposed regularization method.The results show that the proposed method can improve the ill-condition of a transfer matrix and the accuracy of excitation identification and response reconstruction of a structure.
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维普
