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This article is cited in 11 scientific papers (total in 11 papers)
Nonholonomic mechanics
The Nearly Horizontally Rolling of a Thick Disk on a Rough Plane
M. Batista University of Ljubljana, Faculty of Maritime Studies and Transportation,
Pot pomorscakov 4, 6320 Portoroz, Slovenia
Abstract:
In the paper the analytical solution of the partially linearized equations of motion of nearly horizontally rolling of a thick rigid disk on a perfectly rough horizontal plane under the action of gravity is given in terms of Whittaker functions. The solution is used to obtain the asymptotic solutions for a very small inclination angle, the study of unilateral contact between a disk and a plane and the study of disk colliding motion.
Keywords:
disk rolling, nonholonomic mechanics.
Received: 07.06.2008 Accepted: 14.07.2008
Citation:
M. Batista, “The Nearly Horizontally Rolling of a Thick Disk on a Rough Plane”, Regul. Chaotic Dyn., 13:4 (2008), 344–354
Linking options:
https://www.mathnet.ru/eng/rcd582 https://www.mathnet.ru/eng/rcd/v13/i4/p344
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