The problem of an elastic-plastic beam dynamics and an incomplete co-dimension two bifurcation (Q1369586)
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scientific article; zbMATH DE number 1076640
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The problem of an elastic-plastic beam dynamics and an incomplete co-dimension two bifurcation |
scientific article; zbMATH DE number 1076640 |
Statements
The problem of an elastic-plastic beam dynamics and an incomplete co-dimension two bifurcation (English)
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25 November 1997
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A continuous fourth-order ordinary differential equation Shanley-type model is suggested for analytical analysis of the problem of elastic-plastic beam dynamics. A codimension three bifurcation problem and its simplified case, an incomplete co-dimension two bifurcation of a pair of pure imaginary eigenvalues and a simple zero eigenvalue, are presented and analyzed. Finally, we give the normal form analysis and the unfoldings of 2-jet and 4-jet cases of the incomplete normal forms.
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degenerate singularity
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Shanley-type model
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pure imaginary eigenvalues
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simple zero eigenvalue
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normal form analysis
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unfoldings
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incomplete normal forms
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