Modeling of Magnetoelastic Oscillations of Thin Plates in a Magnetic Field
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Abstract
Under the influence of a magnetic field, a material can change its dimensions and shape, returning to its original state after the magnetic field is removed. This property finds applications in microelectronics, magnetic systems, and other fields. Studying and using magnetoelasticity is important for developing new materials and technologies with unique properties and capabilities. This work considers the problem of deformation of a flexible isotropic electrically conductive plate under the action of a nonstationary external magnetic field. Electromagnetic effects are accounted for using magnetoelectromechanical interaction equations, including the contribution of induced currents. A mathematical model is developed taking into account geometric nonlinearity. For the numerical solution, the Newmark time integration scheme and discrete orthogonalization method for spatial discretization are used. Simulation results for displacement and stress distributions are presented. It is shown that a nonstationary magnetic current increases the deformation of the plate.
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