On influence of small dissipative and gyroscopic forces on the stability of nonconservative systems

A. P. Sejranyan*, O. N. Kirillov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

The linear autonomous mechanical system under the action of nonconservative positional forces is considered. The effect of small dissipative and gyroscopic forces, proportional to the vector of generalized velocities, on the system stability is studied. Necessary and sufficient conditions of the asymptotic stability of the system are obtained. The matrix of dissipative and gyroscopic forces satisfying to these conditions is calculated for the system with two degrees of freedom.

Original languageEnglish
Pages (from-to)483-488
Number of pages6
JournalDoklady Akademii Nauk
Volume393
Issue number4
Publication statusPublished - 2003

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