Force reconstruction based on the union of singular spectral analysis and regularization method

Abstract

To overcome the problem of some ill-posed inverse problem of force reconstruction, which is caused by the noise in the measured responses and small singular values of the structure, a technology of force reconstruction based on a hybrid method of singular spectral analysis (SSA) and the Landweber regularization method is proposed in this study for the first time. The SSA is used to filter the structural response before using Landweber regularization. A new choice method of phase space reconstruction dimension is theoretically proposed, and the minimum embedding dimension is determined by the concept of optimizing difference spectrum theory. The feasibility of this method was demonstrated through three kinds of force reconstructions. The numerical simulation results and an acoustic vibration experiment demonstrated that the proposed method is more effective than the traditional method.

Communicated by Wei-Chau Xie.