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2026-09-30
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Elastiklik nazariyasining kuchlanishlardagi tekis dinamik masalasini sonli yechish

Akmal Bobonazarov
Abduvali Xaldjigitov
Otajon Tilovov

Qabul qilingan: 2026-10-13

Nashr etilgan: 2026-09-30

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Annotatsiya

Ushbu tadqiqotda kuchlanish tenzori komponentlari asosiy noma’lumlar sifatida qaraladigan elastiklik nazariyasining tekis dinamik masalasini qo‘yish va sonli yechish ko‘rib chiqiladi. Tadqiqotning maqsadi bir jinsli izotrop elastik muhitda dinamik kuchlanish maydonini bevosita aniqlash uchun sonli algoritm ishlab chiqishdan iborat. Harakat tenglamalari, deformatsiya–siljish munosabatlari va Guk qonuni asosida kuchlanishlarga nisbatan uchta differensial tenglamadan iborat tizim hosil qilinib, u boshlang‘ich va chegaraviy shartlar bilan to‘ldiriladi. Fazoviy diskretlashtirish Galerkin chekli elementlar usuli yordamida amalga oshiriladi. Vaqt bo‘yicha integrallash C++ dasturida Newmark usuli va FreeFEM++ muhitida chekli ayirmalar sxemasi yordamida bajariladi. To‘g‘ri to‘rtburchak sohaning yuqori chegarasiga vaqtga bog‘liq normal yuk ta’sir ettiriladi, qolgan chegaralar esa sirt kuchlaridan xoli deb qabul qilinadi. Kuchlanishlarning fazoviy taqsimotlari hamda soha markazidagi normal kuchlanishning vaqt bo‘yicha o‘zgarishi olindi. Ikki xil dasturiy amalga oshirishni taqqoslash kuchlanishlar taqsimoti va ularning tebranish xususiyatlari bo‘yicha sifat jihatdan moslikni ko‘rsatdi. Natijalar ushbu yondashuvning kuchlanishlar orqali ifodalangan elastiklik nazariyasining tekis dinamik masalalarini sonli tadqiq etishda qo‘llash mumkinligini ko‘rsatadi.

Kalit so‘zlar

Adabiyotlar ro'yxati

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Mualliflar haqida

Akmal Bobonazarov
akmalbobo1991@gmail.com
Oʻzbekiston Milliy Universiteti
Abduvali Xaldjigitov
akhald@mail.ru
Oʻzbekiston Milliy Universiteti
Otajon Tilovov
otajontilovov95@gmail.com
Oʻzbekiston Milliy Universiteti

Litsenziya

Mualliflik huquqi (c) 2026 “Mexanika muammolari” O‘zbekiston jurnali

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Elastiklik nazariyasining kuchlanishlardagi tekis dinamik masalasini sonli yechish. (2026). “Mexanika Muammolari” O‘zbekiston Jurnali, 37(3). https://pmjournal.uz/jour/article/view/20

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