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Vibration Damping Problems for Some Models of Viscous Fluids”Tatiana Bobyleva, Alexey Shamaevстатья
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 8 апреля 2022 г.
- Авторы: Bobyleva T., Shamaev A.
- Журнал: Lecture Notes in Civil Engineering
- Том: 170
- Год издания: 2022
- Первая страница: 13
- Последняя страница: 20
- DOI: 10.1007/978-3-030-79983-0_2
- Аннотация: This article deals with control problems for dynamical systems with non-local convolution type terms. A method is proposed to get conditions under which the moving system will go into complete rest. The force acting on the system is distributed over the entire moving domain. Domains of one, two and three dimensions are considered. For these three cases of dimension and two types of fluids (Oldroyd fluid and Kelvin-Voigt fluid), the initial conditions are formulated for the problem posed, with the help of which the proposed method can bring these systems to complete rest in a finite time. Sufficient conditions are given that must be satisfied by the initial oscillations of the systems, under which the spectral method we use can bring these initial oscillations to complete rest. This is a condition on the smoothness of the initial functions and some additional boundary conditions for them. The article presents a new technique for damping unwanted vibrations in visco-elastic building materials.
- Добавил в систему: Шамаев Алексей Станиславович
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