Stability of equilibrium of stationary revolution of thin elastic conical shells (Q2771577)
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scientific article; zbMATH DE number 1705814
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of equilibrium of stationary revolution of thin elastic conical shells |
scientific article; zbMATH DE number 1705814 |
Statements
17 February 2002
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elastic shell
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stationary revolution
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stability
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buckling
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first eigenfrequency
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Stability of equilibrium of stationary revolution of thin elastic conical shells (English)
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The problem of determination of critical velocity of revolution for cylindrical and conical shells, related to the loss of stability of their axes due to positional inertia forces, is considered. Numerical simulations confirm that rotating shells can loose stability of stationary revolution. This results in buckling by the first harmonics. In limiting cases, for elongated cylindrical shells, similar results are obtained on the basis of both shell and rod theories. It was found that in the general case the critical angular velocity of a thin axisymmetrical shell with arbitrary generatrix must not coincide with the first eigenfrequency of vibrations.
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