Modeling of Giant Magnetostrictive Material Based on Multivariate Statistical Analysis

摘要

In this paper, a kind of giant magnetostrictive material (GMM) model based on hysteretic nonlinear theory was developed. Van de Pol nonlinear difference item was introduced to interpret the hysteresis phenomenon of the strain-magnetic field intensity (MFI) curve of GMM. The coupling relationship between MFI and frequency was obtained in partial least-square regression method to describe the driftage phenomenon of the strain-MFI curves of GMM in different frequencies. Based on above, the final relationship among strain, MFI and frequency was set up. The result of significance test shows that the effects of all of the items in the final model are remarkable, and that of forecast test shows that the model can describe the characteristics of GMA in different frequencies well. The new GMM model broadens the region of controlling frequency, and is easy to be analyzed in theory, which is helpful to vibration control.