Contribution to the vibration problem for an electrically conducting plate in a longitudinal magnetic field

The magnetoelastic vibrations of an infinite shell of finite electrical conductivity in the presence of a longitudinal magnetic field are analyzed. A solution is obtained in the case where wave propagation occurs in a plane normal to the vector of magnetic field intensity. The validity of some simplifying assumptions introduced by Kaliski (1962) and Ambartsumian (1971, 1975) is studied on the basis of this solution. An approach to the solution of magnetoelastic vibration problems for finite plates is proposed, and a solution is obtained for a strip hinged at the edges.