Analysis of the gyroscopic stabilization of a system of rigid  bodies

Wolfhard Kliem; Alexander P. Seyranian

doi:10.1007/s000330050067

Analysis of the gyroscopic stabilization of a system of rigid bodies

Wolfhard Kliem, Alexander P. Seyranian

Lomonosov Moscow State University

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We study the gyroscopic stability of a three-body system. A new method of finding stability regions, based on mechanism and criteria for gyroscopic stabilization, is presented. Of particular interest in this connection is the theory of interaction of eigenvalues. This leads to a complete 3-dimensional analysis, which shows the regions of stability, divergence, and flutter of a simple model of a rotating spaceship.

Original language	English
Journal	Zeitschrift fuer Angewandte Mathematik und Physik
Volume	48
Issue number	5
Pages (from-to)	840-847
ISSN	0044-2275
DOIs	https://doi.org/10.1007/s000330050067
Publication status	Published - Sept 1997

Keywords

divergence instability
flutter instability
gyroscopic stabilization
interaction of eigenvalues

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Cite this

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AB - We study the gyroscopic stability of a three-body system. A new method of finding stability regions, based on mechanism and criteria for gyroscopic stabilization, is presented. Of particular interest in this connection is the theory of interaction of eigenvalues. This leads to a complete 3-dimensional analysis, which shows the regions of stability, divergence, and flutter of a simple model of a rotating spaceship.

KW - divergence instability

KW - flutter instability

KW - gyroscopic stabilization

KW - interaction of eigenvalues

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M3 - Journal article

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