Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/9985
Title: On the instability of steady motion
Authors: Čović V.
Vesković, Miroslav
Obradovic, Aleksandar
Issue Date: 2011
Abstract: This paper deals with the instability of steady motions of conservative mechanical systems with cyclic coordinates. The following are applied: Kozlov's generalization of the first Lyapunov's method, as well as Rout's method of ignoration of cyclic coordinates. Having obtained through analysis the Maclaurin's series for the coefficients of the metric tensor, a theorem on instability is formulated which, together with the theorem formulated in Furta (J. Appl. Math. Mech. 50(6):938-944, 1986), contributes to solving the problem of inversion of the Lagrange-Dirichlet theorem for steady motions. The cases in which truncated equations involve the gyroscopic forces are solved, too. The algebraic equations resulting from Kozlov's generalizations of the first Lyapunov's method are formulated in a form including one variable less than was the case in existing literature. © 2010 Springer Science+Business Media B.V.
URI: https://scidar.kg.ac.rs/handle/123456789/9985
Type: article
DOI: 10.1007/s11012-010-9348-2
ISSN: 0025-6455
SCOPUS: 2-s2.0-79961028734
Appears in Collections:Faculty of Mechanical and Civil Engineering, Kraljevo

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