On the stability of a plane gyroscopic pendulum

TitleOn the stability of a plane gyroscopic pendulum
Publication TypeJournal Article
Year of Publication2015
AuthorsGolinko, SI
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2015.04.042
Issue4
SectionMechanics
Pagination42-48
Date Published4/2015
LanguageRussian
Abstract

The stability of a plane gyroscopic pendulum is considered. The system of differential equations of perturbed motion with impulsive action, using the special changes of variables, is reduced to a linear system of ordinary differential equations with constant coefficients. The conditions of existence of the parametric resonance of plane gyroscopic pendulum’s oscillations are obtained.

Keywordsdifferential equations, gyroscopic pendulum, stability
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