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Various friction models in two-sphere top dynamicsстатья
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: 24 декабря 2014 г.
- Автор: Zobova A.A.
- Журнал: Mechanics of Solids
- Том: 48
- Номер: 2
- Год издания: 2013
- Издательство: Allerton Press Inc.
- Местоположение издательства: United States
- Первая страница: 134
- Последняя страница: 139
- DOI: 10.3103/S0025654413020039
- Аннотация: The dynamics of a two-sphere tippe top on a rough horizontal plane is considered. The top is bounded by a nonconvex surface consisting of two spherical segments of distinct radii and a cylinder; the cylinder axis coincides with the common symmetry axis of the segments. If the top is initially placed so that its center of mass is almost in the lowest position, the symmetry axis is almost vertical, and a high angular velocity of rotation about the vertical symmetry axis is imparted to the top, then it turns upside down from its base to the leg and starts to rotate on the leg. Then the top gradually returns to the stable equilibrium. The problem of the top motion is often used to demonstrate the efficiency of various proposed friction models [1–3]. The effects arising in the two-sphere top dynamics with various dry friction models are compared in the present paper. Both analytic methods based on the theory of stability and bifurcations and numerical calculations are used. The numerical study is performed under the assumption that the supporting plane is deformable, which permits one to describe transient processes accompaniedwith impacts by using a single system of equations.
- Добавил в систему: Зобова Александра Александровна