The steady motions of a fluid-filled spheroid on a plane with frictionстатья
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Дата последнего поиска статьи во внешних источниках: 14 декабря 2016 г.
Аннотация:The motion of a thin-walled spheroid completely filled with an ideal incompressible fluid executing uniform vortex motion (a Kelvin top) is investigated. It is assumed that the spheroid rests on a horizontal plane from which it is acted upon by a normal reaction and the force of viscous sliding friction. The equations of motion of a Kelvin top on a plane with friction are set up, and the conditions for them to be consistent are obtained. The steady and periodic motions of a Kelvin top are found, and problems of the stability and branching of these motions are investigated.