Надіслати цю статтю Коливання спряжених оболонкових систем у полі комбінованих статичних навантажень
Анотація
Запропоновано математичну модель коливань пружних систем зі спряжених оболонок обертання різної геометрії, що знаходяться в полі комбінованих статичних осесиметричних навантажень. Модель базується на положеннях геометрично нелінійної теорії середнього згину в межах класичної теорії Кірхгофа–Лява і реалізована з використанням сучасних методів прикладної математики та чисельного аналізу. Побудовано спектральний портрет оболонкової конструкції з елементами додатної, нульової і від’ємної ґауссової кривини, який дозволяє відстежити резонансні ситуації при динамічних навантаженнях і визначити небезпечні комбінації статичних навантажень при оцінці стійкості її рівноважних станів.
Зразок для цитування: Я. М. Григоренко, О. І. Беспалова, Н. П. Борейко, “Коливання спряжених оболонкових систем у полі комбінованих статичних навантажень,” Мат. методи та фіз.-мех. поля, 63, No. 3, 5–18 (2020), https://doi.org/10.15407/mmpmf2020.63.3.5-18
Translation: Y. M. Grigorenko, O. I. Bespalova, N. P. Boreiko, “Vibration of conjugated shell systems under combined static loads,” J. Math. Sci., 273, No. 1, 1–16 (2023), https://doi.org/10.1007/s10958-023-06479-x
Ключові слова
Посилання
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