Structural Mechanics of Engineering Constructions and BuildingsStructural Mechanics of Engineering Constructions and BuildingsСтроительная механика инженерных конструкций и сооружений1815-52352587-8700Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)4037210.22363/1815-5235-2024-20-3-289-299QZUUZMDynamics of structures and buildingsДинамика конструкций и сооруженийResearch ArticleDynamic Stability of a Cylindrical Shell Made of a Material of Different Modulus Plased on a Viscous-elastic FoundationДинамическая устойчивость цилиндрической оболочки из разномодульного материала, лежащей на вязкоупругом основанииhttps://orcid.org/0000-0002-1159-92965334-6047RzayevNatig S.РзаевНатиг Самандар

Ph.D in Mechanics, Associate Professor of the Department of Engineering mechanics

доктор философии в области механики, доцент кафедры инженерной механики

nrzayev@beu.edu.azBaku Engineering UniversityБакинский инженерный университет30072024203VOL 20, NO3 (2024)ТОМ 20, №3 (2024)28929911082024Copyright ©; 2024, Rzayev N.S.Copyright ©; 2024, Рзаев Н.С.2024Rzayev N.S.Рзаев Н.С.https://creativecommons.org/licenses/by-nc/4.0https://journals.rudn.ru/structural-mechanics/article/view/40372

The problem of stability of a cylindrical shell with various modules on a viscoelastic base is investigated. It is assumed that the shell of a circular cross section is subjected to force and loses stability in an axisymmetric form. It is believed that one end of the shell remains motionless, while the other changes its location (moves) at a certain speed. It is assumed that the transverse displacement is greater than the longitudinal one. When solving the problem, the resistance of the external environment was taken into account, and it was also read that the cylindrical shell was made of a material of different modularity. Relationship equations are obtained between the critical force and the characteristic parameters for a cylindrical shell located on a base, characterized, in turn, as a viscoelastic base and the Pasternak model. From the equations obtained and the results presented, it can be seen that serious errors are allowed if, when solving stability issues, the resistance of the external environment and different modularity are not taken into account. The calculation results show that the value of the critical force in the case under consideration differs significantly from the values corresponding to classical problems, and depends on the parameters characterizing the base resistance. The results obtained can be used in calculations of multi-modulus cylindrical shells for strength, stability, and frequency-amplitude characteristics, taking into account the resistance of the external environment.

Исследована задача устойчивости цилиндрической оболочки с различными модулями на вязкоупругом основании. Предполагается, что оболочка круглого сечения подвергается силовому воздействию и теряет устойчивость в осесимметричной форме. Считается, что один конец оболочки остается неподвижным, а другой меняет свое местоположение (движется) с определенной скоростью. При этом предполагается, что поперечное перемещение больше продольного. При решении задачи принималось во внимание сопротивление внешней среды, а также учитывалось, что цилиндрическая оболочка изготовлена из разномодульного материала. Получены уравнения связи между критической силой c характерными параметрами для цилиндрической оболочки, расположенной на основании, характеризуемом, в свою очередь, как вязкоупругое основание, и моделью Пастернака. Из полученных уравнений и изложенных результатов видно, что допускаются серьезные погрешности, если при решении вопросов устойчивости не учитываются сопротивление внешней среды и разная модульность. Результаты расчета показывают, что значение критической силы в рассматриваемом случае существенно отличается от значений, соответствующих классическим задачам, и зависит от параметров, характеризующих сопротивление основания. Полученные результаты могут быть использованы при расчетах разномодульных цилиндрических оболочек на прочность, устойчивость и частотно-амплитудных характеристик с учетом сопротивления внешней среды.

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