On the constrained elastic ring (Q1095700)
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scientific article; zbMATH DE number 4028994
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the constrained elastic ring |
scientific article; zbMATH DE number 4028994 |
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On the constrained elastic ring (English)
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1988
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The problem of a thin elastic ring contained within a smooth rigid cavity is considered for the case where the ring is subjected to a radial point load. The problem is approached as a moving intermediate boundary problem in the calculus of variations and a closed-form analytical solution is obtained. Numerical results are presented for several cases, revealing unstable behavior of the ring configuration.
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arch equations
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theorem of stationary potential energy
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transversality condition
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load-deflection
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load-boundary angle spaces
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thin elastic ring
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smooth rigid cavity
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radial point load
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moving intermediate boundary problem
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closed-form analytical solution
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unstable behavior
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