Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

Russian Russian English English About Journal | Issues | Editorial Board | Contact Us
 


IssuesArchive of Issues2015-1pp.71-80

Archive of Issues

Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
In English (J. Appl. Math. Mech.): 799

<< Previous article | Volume 79, Issue 1 / 2015 | Next article >>
Yu.P. Bychkov, "The rolling of a body with a rotor on a moving supporting sphere," J. Appl. Math. Mech. 79 (1), 71-80 (2015)
Year 2015 Volume 79 Issue 1 Pages 71-80
DOI 10.1016/j.jappmathmech.2015.04.020
Title The rolling of a body with a rotor on a moving supporting sphere
Author(s) Yu.P. Bychkov (Moscow, Russia)
Abstract The rolling without slipping of a body with a rotor on a mobile supporting sphere in a uniform gravitational field is considered. The boundary of the body in the contact area with the support is part of a spherical surface. The central ellipsoid of inertia of the system (body + rotor) is an ellipsoid of revolution, the axis of which passes through the geometrical centre of the sphere, not, generally speaking, coinciding with the system mass centre. The supporting sphere is displaced translationally in an arbitrary way and is rotated around a vertical axis. The complete system of equations of motion of the supporting body and the rotor is obtained. Two integral equations of motion are obtained in the case of a solid of revolution. In the case when the body is a homogeneous sphere, four integral equations of motion are obtained, where the coordinates of the point of contact of the sphere and the supporting sphere are determined by quadratures, and all possible trajectories of the point of contact of the sphere and the body are indicated.
Received 15 September 2014
Link to Fulltext
<< Previous article | Volume 79, Issue 1 / 2015 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 245, 119526 Moscow, Russia (+7 495) 434-2149 pmm@ipmnet.ru pmmedit@ipmnet.ru https://pmm.ipmnet.ru
Founders: Russian Academy of Sciences, Ishlinsky Institute for Problems in Mechanics RAS
© Journal of Applied Mathematics and Mechanics
webmaster
Rambler's Top100