Murakkab shaklli anizotrop plastinaning termo-magnito-elektro-elastik nochiziqli matematik modellashtirish
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R-funksiyalar usuli, murakkab shaklli plastina, anizotrop kompozit material, fon Karman nochiziqliligi, termo-magnito-elastiklik, Lorents kuchi, Dyuamel–Neyman qonuni, Bubnov–Galerkin usuli, Nyumark sxemasiAbstrak
Maqolada murakkab shaklli anizotrop plastinalarning termo-magnito-elektro-elastik maydonlar ta’siridagi nochiziqli deformatsiyalanishini tavsiflovchi matematik model va uni yechishning hisoblash algoritmi taklif etilgan. Model ko‘ndalang siljishlarni inobatga oluvchi birinchi tartibli kinematik nazariya hamda katta egilishlarni tavsiflovchi fon Karman geometrik nochiziqliligiga asoslanadi; harorat, elektr va magnit maydonlarining anizotrop muhit bilan bog‘langan ta’siri holat tenglamalariga Dyuamel–Neyman qonuni va Maksvell tenglamalari orqali kiritilgan. Plastinaning ixtiyoriy ko‘p bog'lamli sohasi va aralash chegaraviy shartlari R-funksiyalar usuli yordamida yagona analitik ifoda bilan tavsiflanib, chegaraviy shartlarni aniq qanoatlantiruvchi yechim strukturasi qurilgan. Fazoviy diskretlashtirish Bubnov–Galerkin usuli va Gauss kvadraturalari yordamida, vaqt bo‘yicha integrallash esa oshkormas Nyumark sxemasi va nochiziqli hadlar uchun ekvivalent bikrlik matritsasiga asoslangan iteratsion algoritm yordamida amalga oshirilgan
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