A rigid body on a surface with random roughness

被引：5

作者：

Burlakov, Daniil ^{[1
]}

Treschev, Dmitry ^{[2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 119899, Russia

[2] Russian Acad Sci, Steklov Math Inst, Moscow 119991, Russia

来源：

REGULAR & CHAOTIC DYNAMICS | 2014年 / 19卷 / 03期

关键词：

rigid body; support with random roughness; MOTION; MODEL;

D O I：

10.1134/S1560354714030034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：296 / 309

页数：14

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