INDEPENDENT SOLUTION OF THE MAGNETOELASTICS PROBLEM OF THIN COMPOUND-SHAPED ANISOTROPIC PLATES

In this work is devoted to the construction of a mathematical model based on the Hamilton-Ostrogradsky variational principle. The Kirchhoff-Love hypothesis was used to convert a three-dimensional model to a two-dimensional model. The variation of potential and kinetic changes and changes in the works of external forces were estimated. Using Cauchy relationships, Hooke's law and Maxwell's electromagnetic tensor in a geometric linear form, the effects of electro-magnetic-elasticity on the stressed deformation condition of the elastic plate were gained. Presents an independent solution to the problem of magneto elasticity of thin complex-shaped anisotropic plates. Electrodynamic forces are considered stationary. In this work, computational experiments were performed for (anisotropic) plates made of different materials under different boundary conditions, positive results were obtained and analyzed.