Buckling of a nonlinearly elastic column: Variational principles, bifurcation and asymptotics (Q1898293)
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scientific article; zbMATH DE number 796902
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Buckling of a nonlinearly elastic column: Variational principles, bifurcation and asymptotics |
scientific article; zbMATH DE number 796902 |
Statements
Buckling of a nonlinearly elastic column: Variational principles, bifurcation and asymptotics (English)
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4 January 1996
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We study the equilibrium states of an elastic column subject to an end thrust. The column is modeled as an inextensible rod with a nonlinear moment-curvature equation. We bring various mathematical theories to bear on this problem; the calculus of variations, bifurcation theory, phase plane analysis, and singular perturbation theory for ordinary differential equations. We study the connections between the various approaches.
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equilibrium states
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inextensible rod
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nonlinear moment-curvature equation
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phase plane analysis
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singular perturbation theory
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