THE STABILITY OF THE EQUILIBRIUM POSITION OF A NONAUTONOMOUS MECHANICAL SYSTEM

Authors
ANDREYEV AS
Citation
As. Andreyev, THE STABILITY OF THE EQUILIBRIUM POSITION OF A NONAUTONOMOUS MECHANICAL SYSTEM, Journal of applied mathematics and mechanics, 60(3), 1996, pp. 381-389
Citations number
16
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
60
Issue
3
Year of publication
1996
Pages
381 - 389
Database
ISI
SICI code
0021-8928(1996)60:3<381:TSOTEP>2.0.ZU;2-3
Abstract
The sufficient conditions for the asymptotic stability and instability of the equilibrium position of a holonomic mechanical system acted up on by the time-dependent forces are determined. Problems of the stabil ization of the calculated motion of a gyroscopic system on a moving ba se and of the conditions of stability of the equilibrium position of a mechanical system with variable masses are solved. Some examples are considered. Copyright (C) 1996 Elsevier Science Ltd.