Spatial motion of an elastic reservoir fully filled with an inviscid incompressible liquid

Within the framework of hypothesises of the dynamics of relative motions of mechanical systems, the paper considers a generalised N. Joukowskii’ problem [1] stated here for reservoirs with deformable walls. A finite set of generalised coordinates is introduced, by using which necessary kinematic and...

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Datum:2017
Автори та афіліації:
  • І. О. Луковський — Інститут математики НАН України
Ключові слова:keywords
Hauptverfasser: Lukovsky, I. A., Луковский, И. А., Луковський, І. О.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Інститут математики НАН України 2017
Online Zugang:https://trim.imath.kiev.ua/index.php/trim/article/view/335
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Назва журналу:Transactions of Institute of Mathematics of NAS of Ukraine
Завантажити файл: Pdf

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Transactions of Institute of Mathematics of NAS of Ukraine
Beschreibung
Zusammenfassung:Within the framework of hypothesises of the dynamics of relative motions of mechanical systems, the paper considers a generalised N. Joukowskii’ problem [1] stated here for reservoirs with deformable walls. A finite set of generalised coordinates is introduced, by using which necessary kinematic and dynamic parameters of the reservoirs-liquid mechanical system are defined. Derivations of the governing equations and the solving of basic boundary value problems with respect of the velocity potential are done by employing variational principles of the continuum mechanics.