Instability of optimal equilibria in the minimum mass design of uniform shallow arches (Q1172449)
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scientific article; zbMATH DE number 3790003
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Instability of optimal equilibria in the minimum mass design of uniform shallow arches |
scientific article; zbMATH DE number 3790003 |
Statements
Instability of optimal equilibria in the minimum mass design of uniform shallow arches (English)
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1983
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necessary and sufficient conditions
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minimum mass design
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arbitrarily loaded uniform shallow arches
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mass as criterion
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differential equations of axial and transverse equilibrium of arch as side conditions
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optimal equilibrium
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stability of equilibria becomes integral part of solution
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example
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sinusoidally loaded hinged-hinged arch
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fixed span
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unstable
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stable after snap-through
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nonunique with one equilibrium unstable and other stable after snap-through
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local minimum
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critical point condition
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nonlinear optimal control
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initial curvature and axial load as design variables
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