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Эта публикация цитируется в 16 научных статьях (всего в 17 статьях)
The Dynamics of a Rigid Body with a Sharp Edge in Contact with an Inclined Surface in the Presence of Dry Friction
Ivan S. Mamaeva, Tatiana B. Ivanovab a Institute of Computer Science,
Udmurt State University,
ul. Universitetskaya 1, Izhevsk, 426034 Russia
b Faculty of Physics and Energetics,
Udmurt State University,
ul. Universitetskaya 1, Izhevsk, 426034 Russia
Аннотация:
In this paper we consider the dynamics of a rigid body with a sharp edge in contact with a rough plane. The body can move so that its contact point is fixed or slips or loses contact with the support. In this paper, the dynamics of the system is considered within three mechanical models which describe different regimes of motion. The boundaries of the domain of definition of each model are given, the possibility of transitions from one regime to another and their consistency with different coefficients of friction on the horizontal and inclined surfaces are discussed.
Ключевые слова:
rod, Painlevé paradox, dry friction, loss of contact, frictional impact.
Поступила в редакцию: 28.03.2013 Принята в печать: 31.12.2013
Образец цитирования:
Ivan S. Mamaev, Tatiana B. Ivanova, “The Dynamics of a Rigid Body with a Sharp Edge in Contact with an Inclined Surface in the Presence of Dry Friction”, Regul. Chaotic Dyn., 19:1 (2014), 116–139
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd144 https://www.mathnet.ru/rus/rcd/v19/i1/p116
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