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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2008, том 13, выпуск 4, страницы 344–354 (Mi rcd582)

Эта публикация цитируется в 11 статьях

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

Аннотация: 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.

Ключевые слова: disk rolling, nonholonomic mechanics.

MSC: 37J15, 37J25, 70E18, 70H03, 70H33

Поступила в редакцию: 07.06.2008
Принята в печать: 14.07.2008

Язык публикации: английский

DOI: 10.1134/S1560354708040084



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