MATHEMATICAL MODELING OF THE PROCESSES OF NONLINEAR DEFORMATION OF CONSTRUCTIVE THERMO-MAGNETIC-ELASTIC PLATES

Authors

  • Shohruh Safarov International Islamic Academy of Uzbekistan, Senior Teacher of the “Department of Modern ICT”
  • Abrorbek Yuldashev Graduate Student of the Department of Digital Technologies Alfraganus University,

Keywords:

Hamilton-Ostrogradsky principle, Bubnov Galerkin, Cauchy relation, Hooke's law, Maxwell's electromagnetic tensor, R-function, Gaussian, Iteration.Kirish

Abstract

The article is devoted to the development of a mathematical model of the process of geometric nonlinear deformation of thin thermo-magnetic-elastic plates of a complex structural shape based on the Hamilton-Ostrogradsky variational principle and conducting calculation experiments. To solve the equation, a calculation algorithm was developed using R-function, Bubnov-Galerkin, Newmark, Gaussian, Gaussian squares, and Iteration number methods. Calculation experiments were carried out in various mechanical states of the magneto-elastic plate, its borders were tightly fixed, one side was hinged and the other side was free, and numerical results were obtained. A comparative analysis of the results of the calculations was presented.

Downloads

Published

2024-06-19

Issue

Vol. 25 (2024)

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

MATHEMATICAL MODELING OF THE PROCESSES OF NONLINEAR DEFORMATION OF CONSTRUCTIVE THERMO-MAGNETIC-ELASTIC PLATES. (2024). American Journal of Technology and Applied Sciences, 25, 33-37. https://americanjournal.org/index.php/ajtas/article/view/2218