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Arxiv / №3 · 2026 / Maqola
01.00.00 – FIZIKA-MATEMATIKA FANLARI

GISTEREZIS TIPIDAGI ELASTIK DISSIPATIV XARAKTERISTIKALI PLASTINKANING ENERGIYA IFODALARINI ANIQLASH

Annotatsiya
O'ZBEKCHA

Ushbu ishda gisterezis tipidagi elastik dissipativ xarakteristikali o‘yiqga ega plastinka-ning energiya ifodalarini aniqlash masalasi qaralgan. Bunda plastinka materialining dissipativlik xossala-ri Pisarenko-Boginich gipotezasiga asosan olingan. Kinetik va potensial energiyalar ifodalari analitik ko‘-rinishda parametrlarga bog‘liq holda aniqlangan.

Kalit so'zlar: o‘yiq plastinka, gisterezis, energiya, egilish, eguvchi va burovchi momentlar.
РУССКИЙ

В данной работе рассматривается задача определения энергетических выра-жений для пластины с вырезом, обладающей упругодиссипативными характеристиками гистере-зисного типа. При этом диссипативные свойства материала пластины определяются на основе гипотезы Писаренко–Богинича. Аналитические выражения для кинетической и потенциальной энергий получены в зависимости от параметров системы.

Ключевые слова: пластина с вырезом, гистерезис, диссипация энергии, изгиб, изгибающие и крутящие моменты.
ENGLISH

The present study examines the problem of deriving the energy expressions for a plate with a cutout characterized by hysteresis-type elastic dissipative behavior. The dissipative properties of the plate material are modeled in accordance with the Pisarenko–Boginich hypothesis. The expressions for the kinetic and potential energies are obtained in analytical form as functions of the governing parameters.

Keywords: plate with a cutout, hysteresis, energy, bending, bending and torsional moments.
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Foydalanilgan adabiyotlar

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