The dynamic stability of an elastic column (Q1189968)
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scientific article; zbMATH DE number 56409
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The dynamic stability of an elastic column |
scientific article; zbMATH DE number 56409 |
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The dynamic stability of an elastic column (English)
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26 September 1992
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Lyapunov's second method is used to investigate the stability of the rectilinear equilibrium modes of a nonlinearly elastic thin rod (column) compressed at its end. Stability here is implied relative to certain integral characteristics, of the type of norms in Sobolev spaces; the analysis is carried out for all values of the problem parameter except the bifurcation values.
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Lyapunov's second method
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rectilinear equilibrium modes
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nonlinearly elastic thin rod
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Sobolev spaces
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