MURAKKAB KONSTRUKTIV SHAKLDAGI YUPQA MAGNITELASTIK PLASTINALARNING GEOMETRIK NOCHIZIQLI DEFORMATSIYALANISH JARAYONLARINI MATEMATIK MODELLASHTIRISH
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Gamilton-Ostrogradskiy tamoyili, Koshi munosabatlari, Guk qonuni, Kirxgof-Lyav gipotezasi, Maksvell elektromagnit tenzori, R-funksiyasi.Abstrak
Maqola Gamilton-Ostrogradskiy variatsion tamoyili asosida haroratni hisobga olgan holda yupqa magnitelastik plastinalarning geometrik nochiziqli deformatsiyalanish jarayonlarining umulashgan matematik modelini qurish, hisoblash algoritmlarini ishlab chiqish, hamda hisoblash tajribalari o‘tkazishga bag‘ishlanadi. Bunda harorat ta’siridagi Potensial energiya, Kinetik energiya, hamda tashqi kuchlar bajargan ishning variasion ko’rinishi aniqlandi. Koshi munosabatlari, Kirxgof-Lyav gipotezasi, Guk qonuni va Lorens kuchi hamda Maksvell elektromagnit tenzor ko‘rinishidan foydalanib, murakkab shakldagi yupqa termo magnitelastik plastinning deformatsion kuchlanish holatiga elektromagnit maydon ta’siri ko‘rildi. Ishlab chiqilgan matematik modelni yechish uchun R-funksiya, Bubnov Galerkin, Gauss kvadratlar, Gauss, Nyumark va Iteratsiya usullaridan foydalanib hisoblash algoritmi ishlab chiqildi. Yaratilgan dasturiy majmua yordamida olingan natijalar grafik diagrammalar orqali tahlil qilindi.
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FOYDALANILGAN ADABIYOTLAR
1. Kabulov V.K. Algoritmizatsiya v teorii uprugosti i deformatsionnoy teorii plastichnosti Tashkent Fan 1966. 392 s.
2. Ambarsumyan S.A., Bagdasaryan G.Ye., Belubekyan M.V. Magnitouprugost tonkix obolochek i plastin. - M.: Nauka 1977. 272s.
3. Kurpa L.V. Metodom R-funksii dlya resheniya lineynыx zadach izgiba i kolebaniy pologix obolochek. Xarkov NTU XPI 2009. 391s.
4. F. Nuraliev and Sh. Safarov, "Computational algorithm for calculating magnetoelastic flexible plates of complex configuration," 2019 International Conference on Information Science and Communications Technologies (ICISCT), Tashkent, Uzbekistan, 2019, pp. 1-4. DOI: 10.1109/ICISCT47635.2019.9011903
5. F. Nuraliev, S. Safarov and M. Artikbayev, ”A computational algorithm for calculating the effect of the electromagnetic fields to thin complex configured plates,” 2020 International Conference on Information Science and Communications Technologies (ICISCT), 2020, pp. 1-4, DOI: 10.1109/ICISCT50599.2020.9351447
6. F. Nuraliev, S. Safarov and M. Artikbayev, "Solving the problem of geometrical nonlinear deformation of electro-magnetic thin plate with complex configuration and analysis of results," 2021 International Conference on Information Science and Communications Technologies (ICISCT), 2021, pp. 01-05, DOI: 10.1109/ICISCT52966.2021.9670282
7. 13. Nuraliev F.M., Aytmuratov B.Sh., Safarov Sh.Sh., Artikbayev M.A. Mathematical modeling of geometric nonlinear processes of electromagnetic elastic thin plates of complex configuration // Scientific journal «Problems of Computational and Applied Mathematics» № 1(38), 2022.
8. 14. F. Nuraliev, S. Safarov, M. Artikbayev and A. O.Sh, "Calculation Results of the Task of Geometric Nonlinear Deformation of Electro-magneto-elastic Thin Plates in a Complex Configuration," 2022 International Conference on Information Science and Communications Technologies (ICISCT), Tashkent, Uzbekistan, 2022, pp. 1-4,. DOI: 10.1109/ICISCT55600.2022.10146920
