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Numerical–Analytical Method for Searching for the Autorotations of a Mechanical System with Two Rotational Degrees of Freedomстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 4 августа 2021 г.
- Авторы: Klimina L.A., Masterova A.A., Samsonov V.A., Selyutskiy Yu D.
- Журнал: Mechanics of Solids
- Том: 56
- Номер: 3
- Год издания: 2021
- Издательство: Allerton Press Inc.
- Местоположение издательства: United States
- Первая страница: 392
- Последняя страница: 403
- DOI: 10.3103/S0025654421030055
- Аннотация: A mechanical system with two rotational degrees of freedom is considered. The mathematicalmodel is presented in the form of a fourth-order dynamic system. A numerical–analytical iterative method is proposed for finding solutions close to periodic, corresponding to the autorotation modes of a mechanical system. Fixed points (including saddles) of the system averaged over two angles are used as a zero approximation. At each iteration, periodic solutions of two auxiliary subsystems are numerically constructed using an approach akin to the Andronov–Pontryagin method. Under the condition of the convergence of the method, a set of periodic functions is obtained, which presumably approximately describe trajectories close to periodic, in particular, quasiperiodic. The conditions for the applicability of the approach are discussed. The proposed method is illustrated by the example of finding the autorotation modes of two interacting Savonius rotors.
- Добавил в систему: Климина Любовь Александровна