Effect of the magnetic field of a current-carrying conductor on the vibrations of magnetoelastic plate structures

The aim of this study was to investigate the vibration behavior of soft magnetoelastic plates mounted close to rectangular conductors conducting current. New relationships are derived for electromagnetic interaction forces with magnetoelastic plates by taking into consideration the general form of Maxwell's equations and Lorentz forces. By using von-Kámán strain-displacement relations and Hamilton's principle, we derive the nonlinear differential equations for the plate based on classical first-order shear deformation theory. It is investigated numerically how different parameters affect the resonance features of these plates by discretizing the nonlinear equations using the Galerkin method. It has been demonstrated that the intensity of the magnetic field and electric current has a profound effect on the vibration behavior of the plates. Through these effects, energy is lost in the plate, which, as a result, results in a decrease in oscillation amplitude over time.