TASHQI KUCHLAR OSTIDA MAGNIT-ELASTIK PLASTINANING GEOMETRIK CHIZIQSIZ DEFORMATSIYASINI MATEMATIK MODELLASHTIRISH
Keywords:
Gamilton-Ostrogradskiy tamoyili, Kirgof-Lyav gipotezasi, Bubnov Galerkin, Gauss, Nyumark, Koshi munosabatlari, Guk qonuni, Maksvell elektromagnit tenzori.Abstract
Maqolada Gamilton–Ostrogradskiy variatsion tamoyili asosida elektromagnit maydon ta’siridagi magnitelastik plastinaning deformatsiyasi matematik model orqali tavsiflandi. Tizim energiyalari, elektromagnit kuchlar va mexanik bog‘lanishlar (Koshi, Guk qonunlari, Lorens kuchi, Maksvell tenzori) hisobga olindi. Model R-funksiya usuli va Bubnov–Galerkin, Gauss, Nyumark hamda iteratsion usullar yordamida yechiladi. Sonli tajribalar elektromagnit maydon ta’sirini ko‘rsatdi va yondashuv samaradorligini tasdiqladi..
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