Stability of motion of a system of two Lagrange gyroscopes formed in a half-closed chain (Q2735913)
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scientific article; zbMATH DE number 1641412
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of motion of a system of two Lagrange gyroscopes formed in a half-closed chain |
scientific article; zbMATH DE number 1641412 |
Statements
22 January 2002
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system of rigid bodies
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half-closed chain
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stationary regime
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stability
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Stability of motion of a system of two Lagrange gyroscopes formed in a half-closed chain (English)
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The nonlinear motion equations for a system of two Lagrange gyroscopes (symmetric gyroscopes) formed in the half-closed chain are considered. The stationary motions for which the first body permanently rotates and the second body performs a regular precession are studied. For that regime the motion equations are written and then reduced to Hill's equation. Conditions of stability and instability for this motion are obtained.
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