Optimal design of beams for moving loads with a deflection constraint (Q1321907)
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scientific article; zbMATH DE number 561755
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal design of beams for moving loads with a deflection constraint |
scientific article; zbMATH DE number 561755 |
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Optimal design of beams for moving loads with a deflection constraint (English)
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26 May 1994
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The problem of minimizing the volume (weight) of an elastic beam subjected to moving loads and to an imposed maximum deflection is studied. Specifically, by means of the calculus of variations, the necessary conditions for the minimum volume are established for beams consisting of longitudinal segments of constant cross-sectional area. Two examples are considered, one for a moving concentrated load and the second for a moving distributed load.
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imposed maximum deflection
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necessary conditions
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minimum volume
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moving concentrated load
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moving distributed load
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