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Arxiv / №1 · 2026 / Maqola
01.00.00 – FIZIKA-MATEMATIKA FANLARI

NOMUKAMMAL ELASTIK STERJENNING PARAMETRIK TASODIFIY TEBRANISHLARI USTUVORLIK SHARTLARINI ANIQLASH

Annotatsiya
O'ZBEKCHA

Ushbu ishda nomukammal elastik sterjenning tasodifiy parametrik tebranishlari ustu-vorligini tekshirish masalasi qaralgan. Ustuvorlik shartlari sistema parametrlari va o‘zgaruvchilariga bog‘liq holda analitik ko‘rinishda aniqlangan. Ito usulidan foydalanib, xarakteristik tenglama aniqlanib, ustuvorlik shartlari olingan.

Kalit so'zlar: nomukammal elastik, sterjen, gisterezis, parametrik tasodifiy tebranish, o‘rtalashti-rish, ustuvorlik sharti.
РУССКИЙ

В этой работе рассмотрена задача исследования устойчивости параметричес-ких случайных колебаний несовершенно упругого стержня. Условие устойчивости определено в аналитическом виде в зависимости от параметров и переменных системы. С помощью метода Ито определено характеристическое уравнение и получены условия устойчивости.

Ключевые слова: несовершенно упругий стержень, гистерезис, параметрическое случайное колебание, усреднение, условие устойчивости.
ENGLISH

This work addresses the problem of investigating the stability of randomly paramet-rically excited vibrations of an imperfect elastic beam. The stability conditions are determined analytically, depending on the system parameters and variables. Using Ito‘s method, the characteristic equation is derived, and the stability conditions are obtained.

Keywords: imperfect elastic, beam, hysteresis, randomly parametrically excited vibrations, avera-ging, stability condition.
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Foydalanilgan adabiyotlar

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