Stability of Stationary Motions of Mechanical Systems with a Particular Goryachev-Chaplygin Integral

被引：0

作者：

Novikov, M. A. ^{[1
]}

机构：

[1] RAS, Matrosov Inst Syst Dynam & Control Theory, Siberian Branch, Irkutsk 664033, Russia

来源：

MECHANICS OF SOLIDS | 2023年 / 58卷 / 03期

关键词：

stability of motion; characteristic equation; eigenvalue; integral of equations of motion; bundle of first integrals;

D O I：

10.3103/S0025654423700139

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In the existing studies, the stationary motions in a mechanical system in the case of the existence of a partial Goryachev-Chaplygin integral are analyzed. Some invariant sets and their stability, including one of the stationary motions, are also studied. In this article, the stability of the remaining second rest state is finally investigated.

引用

页码：814 / 817

页数：4