Asymptotics formulas for the frequencies of axially symmetric vibrations of a shell of revolution (Q1569349)
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scientific article; zbMATH DE number 1467878
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotics formulas for the frequencies of axially symmetric vibrations of a shell of revolution |
scientific article; zbMATH DE number 1467878 |
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Asymptotics formulas for the frequencies of axially symmetric vibrations of a shell of revolution (English)
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3 July 2000
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Free axially symmetric vibrations of a thin elastic shell of revolution are considered for arbitrary boundary conditions on the shell edges. The authors derive a formula for the number \(n(\omega)\) of frequencies that are lower than a given frequency \(\omega\) assuming that \(\omega\) lies to the right of the continuous spectrum of membrane problem. This sufficiently accurate formula allows to control the computations in the zone of highest spectral density.
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asymptotic formula for frequencies
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eigenvalue
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free axially symmetric vibrations
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thin elastic shell of revolution
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continuous spectrum
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boundary value problem
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membrane problem
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0.9134458
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0.8696084
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