Research on Modal Analysis and Impact Force Inversion Based on Compressive Sampling Data

Abstract

In recent years, many scholars have studied the impact force identification of large-sized structures in order to improve the safety of these structures, reduce the costs of maintenance and prolong the life. In the large-sized structural health monitoring, how to get a fast and accurate impact force is a worth further studying problem. Therefore, I develop a modal analysis method based on data in this paper, which replaces the modal analysis method based on finite element analysis, to solve the problem that it needs to rely on structural mechanics model in the traditional impact force inversion. In addition, I introduce the theory of Compressed Sensing (CS). Then I develop an impact force identification method based on CS, which includes the sparse model and the reconstruction optimization model. The method can overcome the problem that the data of storing and transmitting response are too large. Finally, a simulation experiment of large-sized aerospace aluminum plate is carried out to illustrate the impact force identification method. The results show that the method can identify quickly and accurately the impact force that was exerted on the large-scale structure