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Motion of a sphere colliding with a rough surfaceстатья
Дата последнего поиска статьи во внешних источниках: 11 апреля 2017 г.
- Авторы: Barbashova T.F., Otradnova L.S.
- Журнал: Moscow University Mechanics Bulletin
- Том: 67
- Номер: 5
- Год издания: 2012
- Издательство: Allerton Press Inc.
- Местоположение издательства: United States
- Первая страница: 105–109
- Последняя страница: 109
- DOI: 10.3103/S0027133012050019
- Аннотация: The following problems of inertial motion of a sphere are considered: between two parallel planes, inside another sphere, and inside a circular cylinder. It is assumed that, at the instant of impact, the no-slip condition is fulfilled: the tangential velocity of the contact point of the sphere is equal to zero; in other words, a constraint is imposed and removed instantaneously. It is shown in the above cases that in the limit the motion of the sphere becomes steady in velocity: the angular velocity of the sphere tends to be constant and the velocity of its center becomes periodic in the first case or conditionally periodic in the second and third cases. In certain cases, the coordinates specifying the position and orientation of the sphere also reach the steady-state regime.
- Добавил в систему: Шахова Татьяна Валентиновна