ARMATURALANGAN KOMPOZIT PLASTINANING DINAMIK BEQARORLIK SOHALARINI MATEMATIK MODELLASHTIRISH
Qabul qilingan: 2026-05-30
Nashr etilgan: 2026-06-06
Annotatsiya
Maqola ko‘ndalang parametrik yuklanish ta’siridagi armaturalangan anizotrop kompozit plastinaning (shishaplastikning) dinamik beqarorlik sohalarini matematik modellashtirishga bag‘ishlangan. Aniqlashtirilgan Timoshenko nazariyasi va qovushqoq elastiklikning irsiy nazariyasi asosida matematik model kuchsiz singulyar relaksatsiya yadrolariga ega nochiziqli xususiy hosilali integro-differensial tenglamalar tizimi ko‘rinishida tuzilgan. Bubnov–Galyorkin usuli yordamida masala nochiziqli oddiy integro-differensial tenglamalar tizimiga keltiriladi va kuchsiz singulyar yadrolar regulyarizatsiya qilingandan so‘ng kvadratura formulalari yordamida sonli yechiladi. Parametrik yuklar ta’siridagi yupqa devorli konstruksiyalarning dinamik beqarorlik sohalarini aniqlashning universal tartibi taklif etilgan hamda armaturalangan kompozit plastinaning fizik va geometrik parametrlarining ta’siri ko‘rsatilgan.
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