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Эта публикация цитируется в 5 научных статьях (всего в 5 статьях)
A Rigid Body on a Surface with Random Roughness
Daniil Burlakova, Dmitry Treschevb a Lomonosov Moscow State University,
Vorob’evy gory, Moscow, 119899 Russia
b Steklov Mathematical Institute, Russian Academy of Sciences,
Gubkina 8, Moscow, 119991 Russia
Аннотация:
Consider an interval on a horizontal line with random roughness. With probability one it is supported at two points: one on the left, and another on the right from its center. We compute the probability distribution of the support points provided the roughness is fine grained. We also solve an analogous problem where a circle or a disk lies on a rough plane. Some applications in static are given.
Ключевые слова:
rigid body, support with random roughness.
Поступила в редакцию: 10.04.2014 Принята в печать: 23.04.2014
Образец цитирования:
Daniil Burlakov, Dmitry Treschev, “A Rigid Body on a Surface with Random Roughness”, Regul. Chaotic Dyn., 19:3 (2014), 296–309
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd148 https://www.mathnet.ru/rus/rcd/v19/i3/p296
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