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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Datum:2015
Автори та афіліації:
  • — Донецкий национальный университет, Винница
Ключові слова:keywords
1. Verfasser: Кононов, Ю. М.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Інститут математики НАН України 2015
Online Zugang:https://trim.imath.kiev.ua/index.php/trim/article/view/24
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Назва журналу:Transactions of Institute of Mathematics of NAS of Ukraine
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Institution

Transactions of Institute of Mathematics of NAS of Ukraine
Beschreibung
Zusammenfassung: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.