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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:

Authors : ;

Page : 103-111

Keywords : rigid body on a string suspension; Floquet theory; theory of parametric perturbations; instability;

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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.

Last modified: 2013-08-08 07:45:39