Designing vibrating beams and rotating shafts for maximum difference between adjacent natural frequencies (Q787755)
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scientific article; zbMATH DE number 3841398
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Designing vibrating beams and rotating shafts for maximum difference between adjacent natural frequencies |
scientific article; zbMATH DE number 3841398 |
Statements
Designing vibrating beams and rotating shafts for maximum difference between adjacent natural frequencies (English)
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1984
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cross-sectional area function as design variable
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optimal design
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transversely vibrating, thin, elastic beam
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rotating shaft
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maximizes difference between two adjacent natural frequencies or critical whirling speeds of given order
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beams have geometrically similar cross-sections
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shafts restricted to be circular
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minimum constraint prescribed for cross-sectional area
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given volume, length, and boundary conditions
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given, non-structural masses or disks
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set of governing equations
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variational analysis
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solved numerically
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successive iteration procedure
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finite difference discretization
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number of optimal solutions for cantilevers
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comparisons with earlier results
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