Mathematical model and computational algorithm of vibration processes of thin magnetoelastic plates with complex form

In this article deal with having algorithm of the solution of system equations expressing the state of deformation of the shell and thin a magnetoelastic plate under the influence of an electromagnetic field, the construction of a discrete model relatively to phase variables, the solution of a system differential equations based on the vector-matrices methods are developed. The state of deformation stress thin magnetoelastic plate and the shell under influence of the electromagnetic field is studied. As the result, the mathematical models in the form of a system of differential equations with high order special products with initial and boundary conditions relative to the migration are taken. To solve these mathematical models, ie to obtain numerical results, V.L.Rvachev's R-function (RFM), Bubnov-Galerkin, Gauss, Newmark and Iteration methods are used. In this work, the study of state a deformation thin plates of complex shape under the influence of an electromagnetic field, the construction of the boundary equation considered area using the method of R-function is studied.