Аннотації

Стохастична стійкість параметричних коливань пружних оболонок

Автор(и):
Лук’янченко О.О., Пошивач Д.В., Кара І.Д.
Автор(и) (англ)
Lukianchenko O.O., Poshyvach D.V., Kara I.D.
Дата публікації:

26.12.2024

Анотація (укр):

Представлені результати числових досліджень стійкості параметричних коливань циліндричної і пологої оболонок при різних стохастичних впливах. Розрахункові моделі параметричних коливань оболонок сформовані за допомогою асимптотичного і функціонального підходу із застосуванням обчислювальних процедур програмного комплексу скінченно-елементного аналізу. Стохастична стійкість оболонок сформульована за імовірністю, у середньому і відносно моментних функцій високого порядку. Критичні значення інтенсивності стохастичного навантаження і області нестабільності оболонок отримані із застосуванням методів Монте-Карло, Рунге-Кутти четвертого порядку і методу продовження за параметром.

Анотація (рус):

Анотація (англ):

A review of studies of parametric oscillations of shells and their stability showed that most of them concern parametric oscillations of shells excited by periodic loads. The problem of studying stochastic parametric oscillations of shell structures remains relevant due to the complexity of forming calculation models of parametric oscillations and solving the problem of their stochastic stability. Results of numerical researches of stability of parametric oscillations of the cylindrical and shallow shells under different stochastic influences were presented at this article. Parametric oscillations models of the shells were formed on the basis of the asymptotic or functional approaches and Monte-Carlo method using the calculation procedures of finite element analysis software. Stochastic stability of elastic shells was formulated as stability in probability, on average and with respect to the moment functions of different order. The critical values of stochastic load intensity and the regions of stochastic stability of shells were obtained by the Runge-Kutta method of the fourth order and the continuation by parameter method.

Література:

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 Стаття надійшла 30.09.2024