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

共 36 条

[21] Strong stability of motions of mechanical systems
Matyukhin, VI
AUTOMATION AND REMOTE CONTROL, 1996, 57 (01) : 28 - 44
[22] Stability of Steady Motions for Systems with General and Particular First Integrals
Karapetyan, A. V.
MOSCOW UNIVERSITY MECHANICS BULLETIN, 2010, 65 (01) : 1 - 5
[23] Stabilization of the stationary motions of non-holonomic mechanical systems
Atazhanov, B.
Krasinskaya, E.M.
Journal of Applied Mathematics and Mechanics, 1988, 52 (06): : 705 - 710
[24] ASYMPTOTIC STABILITY OF LINEAR STATIONARY MECHANICAL SYSTEMS
HUGHES, PC
GARDNER, LT
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1975, 42 (01): : 228 - 229
[25] BIFURCATION AND STABILITY OF SET MOTIONS OF COMPLEX MECHANICAL SYSTEMS
MOROZOV, VM
RUBANOVSKII, VN
RUMYANTSEV, VV
SAMSONOV, VA
PRIKLADNAYA MATEMATIKA I MEKHANIKA, 1973, 37 (03): : 387 - 399
[26] On the Stability and Ultimate Boundedness of Motions of a Class of Nonlinear Mechanical Systems
Fadeev, Sergey S.
2015 INTERNATIONAL CONFERENCE "STABILITY AND CONTROL PROCESSES" IN MEMORY OF V.I. ZUBOV (SCP), 2015, : 30 - 33
[27] Stationary set and stability: A case study for mechanical systems with discontinuities
Zheng Kai
Shen Tielong
Yao Yu
PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 2, 2007, : 429 - +
[28] STABILITY OF STATIONARY MOTION OF MECHANICAL SYSTEMS IN A RESISTIVE MEDIUM.
Tereki, I.
Moscow University mechanics bulletin, 1982, 37 (5-6) : 13 - 15
[29] STABILITY AND BOUNDEDNESS CONDITIONS FOR THE MOTIONS OF DISCRETE-TIME MECHANICAL SYSTEMS
Luk'yanova, T. A.
INTERNATIONAL APPLIED MECHANICS, 2009, 45 (08) : 917 - 921
[30] The stability of the steady motions of non-holonomic mechanical systems with cyclic coordinates
Kalenova, VI
Morozov, VM
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2004, 68 (02): : 173 - 182

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