Abstraction:In this article, a mathematical model based on the Hamilton-Ostrogradsky variational principle is presented.Using the Kirkhgoff-Lyav hypothesis, transform the mathematical model in 3D form into his 2D model.The tensor view is used to determine variational representations of potential and kinetic energy, as well as changes in work done by external forces, Cauchy relations, Hooke's law, Lorentz forces, and Maxwell's electromagnetic forces.In this case, the influence of the electromagnetic field on the deformation stress state of the magnetoelastic plate is taken into account.The result was a mathematical model in the form of a system of higher-order differential equations with special derivatives with initial and boundary conditions on the displacements.To solve this problem, we developed computational algorithms, created practical software tools, performed computational experiments, and analyzed the results obtained.
| Jurnal | ТАТУ хабарлари |
|---|---|
| Nashr sanasi | 2022-05-05 |
| DOI | 10.61663/224tuitmct1xaxa |
DOI: 10.61663/224tuitmct1xaxa · Maqolaning asl sahifasi · PDF
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