IZOTROP STERJEN UCHUN BOG‘LIQ DINAMIK TERMOPLASTIK MASALANI SONLI YECHISHDA CHIZIQLASHTIRISH USULLARI VA AYIRMALI SXEMALARNING QIYOSIY TAHLILI
DOI:
https://doi.org/10.5281/zenodo.23193301Abstract
Maqolada izotrop sterjenning temperatura maydoni bilan bog‘liq dinamik deformatsiyalanish masalasi qaraladi. Masala giperbolik turdagi harakat tenglamasi va parabolik turdagi issiqlik o‘tkazuvchanlik tenglamasidan iborat chiziqsiz sistemaga keltiriladi. Sistema to‘r usulida yechiladi: temperatura uchun ikki qatlamli, ko‘chish uchun uch qatlamli oshkor va oshkormas sxemalar tuzilib, chiziqsiz hadlar Pikar hamda Nyuton usullari, shuningdek, oldingi vaqt qatlami bo‘yicha chiziqlashtiriladi. Ishning asosiy maqsadi – sxemalar va chiziqlashtirish usullarining to‘rtta kombinatsiyasini aniq yechimi ma’lum bo‘lgan test masalasida taqqoslash hamda amaliy hisoblashlar uchun eng qulayini ajratib olishdir. Hisoblash eksperimentlari Nyuton usuli bilan birlashtirilgan oshkormas sxema temperatura bo‘yicha eng kichik xatolikni berishini, iteratsiyalar soni esa uchtadan oshmasligini ko‘rsatdi. Shuningdek, chiziqsiz koeffitsiyentlar darajasining yechimga ta’siri o‘rganildi.Keywords
bog‘liq termoplastik masala, izotrop sterjen, giperbolo-parabolik sistema, to‘r usuli, oshkor va oshkormas sxemalar, Pikar usuli, Nyuton usuli, test masalasi, chiziqsiz koeffitsiyentlar.References
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