On oscillatiions of a physical pendulum in a multilayer liquid
Planar oscillations of a physical pendulum with a cavity partially filledby a heavy multilayer ideal incompressible fluid is considered in a linearstatement. When assuming the hydrostatic stratification, the structure ofthe spectrum is studied, the necessary and sufficient conditions for stabilityar...
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| Date: | 2015 |
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| Keywords: | keywords |
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| Format: | Article |
| Language: | Russian |
| Published: |
Інститут математики НАН України
2015
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/24 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Transactions of Institute of Mathematics of NAS of Ukraine| Summary: | Planar oscillations of a physical pendulum with a cavity partially filledby a heavy multilayer ideal incompressible fluid is considered in a linearstatement. When assuming the hydrostatic stratification, the structure ofthe spectrum is studied, the necessary and sufficient conditions for stabilityare discussed, the stratification effect on the stability of the rigid bodyequilibrium is evaluated. It is shown that the stratification reduces thestability margin. |
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