Terms of losing stability of stationary rotation rigid body suspended on a string of variable length
Journal: Mekhanika tverdogo tela (Vol.42, No. 1)Publication Date: 2012-12-20
Authors : Ocheretnyuk E.V.;
Page : 103-111
Keywords : rigid body on a string suspension; Floquet theory; theory of parametric perturbations; instability;
Abstract
Dynamically symmetric rigid body on a string suspension is considered. Suspension length varies in a piecewise constant periodic law. The loss of stability of the system of the rotation around the axis of dynamic symmetry is investigated. Research is carried out using the Floquet theory and perturbation theory. The sufficient conditions of instability are obtained.
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