Mathematical modeling of vibrations of two-layered magnetostrictive plate

Mathematical modeling of vibrations of two-layered magnetostrictive plate in nonstationary magnetic field is considered. On the basis of the theory of thin plates and linearized theory of magnetoelasticity of ferromagnetic bodies the main equation and boundary conditions, describing the dynamical behavior of the examined magnetoelastic system are obtained. On the basis of the obtained equations the corresponding problem of mathematical physics is addressed. By the study of the formulated problem it is established, that: a) in the case of stationary magnetic field the plate bents under the action of such fields, b) if the external magnetic field is nonstationary, then the plate does forced vibrations. It means that the homogeneous plate in the harmonic magnetic field acts as a source of propagation of disturbances