Stability of stationary motions of mechanical systems with a rigid body as the basic element (Q2755704)
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scientific article; zbMATH DE number 1671608
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of stationary motions of mechanical systems with a rigid body as the basic element |
scientific article; zbMATH DE number 1671608 |
Statements
18 August 2002
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rigid body with fixed point
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rotation of rigid body
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rigid body with vortex filling
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stability
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coupled rigid bodies
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Routh-Lyapunov theorem
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Chetaev method
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Arnold-Moser theorem
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Stability of stationary motions of mechanical systems with a rigid body as the basic element (English)
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The author reviews the state-of-the-art of stability theory of stationary motions of mechanical systems, focussing on the stability problem for permanent rotation of a rigid body and its generalizations. The objects of investigations are: a rigid body with fixed point, gyrostat, a rigid body with vortex filling, and a system of coupled rigid bodies. The author deals with two main approaches to the study of the stability of stationary motions. The first one is based on Routh-Lyapunov theorem and Chetaev method, the second one -- on Arnold-Moser theorem extended to stationary motions. This article is mostly based on the results obtained by the Donetsk school of mechanics (Ukraine).
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