An approximate method of optimizing the shape of reinforcement rods in non-uniformly aging materials (Q1059443)
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scientific article; zbMATH DE number 3904113
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An approximate method of optimizing the shape of reinforcement rods in non-uniformly aging materials |
scientific article; zbMATH DE number 3904113 |
Statements
An approximate method of optimizing the shape of reinforcement rods in non-uniformly aging materials (English)
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1985
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The problem of optimizing the shape of a rod made of a non-uniformly aging viscoelastic material and reinforced by an elastic material is considered. Geometrical and integral constraints are imposed on the area of cross-section of the rod. The optimal shape is selected to minimize the maximum deflection of the rod in a fixed time interval. An approximate method of optimizing the shape is proposed and justified in the case of slight creep of the material. Results of numerical calculations are presented.
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external load
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expansion in series in powers of small parameter
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optimal control of ordinary differential equations
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bending
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optimizing the shape of a rod
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non-uniformly aging
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reinforced by an elastic material
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Geometrical and integral constraints
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area of cross-section
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minimize the maximum deflection
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fixed time interval
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approximate method
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slight creep
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numerical calculations
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