Simulation and Modeling of Nonlinear Electromagnetic Effects in Elastic Thin Plates with Complex Shapes
Keywords:
Mathematical modeling, Hamilton-Ostrogradsky principle, Maxwell's electromagnetic tensor, magneto elastic thin plate of complex configuration.Abstract
The paper presents a mathematical model derived from the Hamilton–Ostrogradsky variational principle. By applying the Kirchhoff–Love hypothesis, the original three-dimensional formulation is reduced to a two-dimensional model. A computational algorithm was developed to solve the governing equations, supported by custom software implementation. Numerical experiments were carried out, and the obtained results were analyzed to validate the proposed approach.
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