Abstract:

For the cantilever conductive thin plate under external magnetic field, a theoretical model was established to describe the vibration problem of geometric nonlinearity under the mechanicselectricitymagnetism coupling interactions. This model is based on the basic laws and equations of electromagnetics and mechanics of conductive media. Furthermore, the method to determine the effective damping factor was given, and the influences of inplane constant magnetic field on eddy, deformation and magnetic damping were quantitatively simulated. Numerical results demonstrate that the effects of geometric nonlinearity and the coupling induced magnetic damping become stronger as the inplane constant magnetic field increases. The effective damping factor decays with the period or the time, but increases with the inplane constant magnetic field. This study provides scientific basis for the vibration control of conductive structures in magnetic field environment.

Key words: magnetic damping, conductive thin plate, magnetoelastic coupling interactions, geometric nonlinearity, inplane magnetic volume forces