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New exact solution of Euler's equations (rigid body dynamics) in the case of rotation over the fixed pointстатья
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: 30 апреля 2021 г.
- Автор: Ershkov Sergey V.
- Журнал: Archive of Applied Mechanics
- Том: 84
- Номер: 3
- Год издания: 2014
- Издательство: Springer Verlag
- Местоположение издательства: Germany
- Первая страница: 385
- Последняя страница: 389
- DOI: 10.1007/s00419-013-0806-x
- Аннотация: A new exact solution of Euler equations (rigid body dynamics) is presented here. All the components of angular velocity of rigid body for such a solution differ from both the cases of symmetric rigid rotor (which has two equal moments of inertia: Lagrange or Kovalevskaya case), and from the Euler case when all the applied torques are zero, or from other well-known particular cases. The key features are the next: - the center of masses of rigid body is assumed to be located at meridional plane along the main principal axis of inertia of rigid body, - besides, the principal moments of inertia are assumed to satisfy to a simple algebraic equality. Also there is a restriction at choosing of initial conditions. Such a solution is also proved to satisfy to Euler-Poinsot equations, including invariants of motion and additional Euler invariant (square of the vector of angular momentum is a constant). So, such a solution is a generalization of Euler case.
- Добавил в систему: Ершков Сергей Владимирович