Adaptation of the Jellett Integral to the Case of Rolling Friction

被引：0

作者：

Borisov, A. V. ^{[1
]}

Ivanov, A. P. ^{[1
]}

机构：

[1] Moscow Inst Phys & Technol, Dolgoprudnyi, Moscow Oblast, Russia

来源：

DOKLADY PHYSICS | 2020年 / 65卷 / 07期

基金：

俄罗斯科学基金会;

关键词：

rolling friction; Jellett integral; Chaplygin sphere;

D O I：

10.1134/S1028335820070010

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In his book A Treatise on the Theory of Friction, Jellett considered the problem of tippe top overturn on a rough base. A key to the solution was the first integral of motion, which is invariant to law of friction; the dot product of the kinetic moment and the radius-vector of the point of contact are constant. The possibilities of generalization of this approach to the case in which the friction force is complemented by a moment of rolling friction are considered.

引用

页码：252 / 254

页数：3