The Narimanov–Moiseev modal equations for sloshing
in an annular tank

A complete weakly-nonlinear modal system of the Narimanov–Moiseevtype is derived for sloshing in an upright annular tank by using the deri-vation scheme proposed by the author for a spherical tank. The modalsystem couples the two dominant generalised coordinates responsible forthe lowest natural slo...

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Datum:2015
Автори та афіліації:
  • A. N. Timokha — Institute of Mathematics of NAS of Ukraine, Kiev, Ukraine; Centre of Excellence AMOS, Norwegian University of Science and Technology, Trondheim, Norway
Ключові слова:keywords
1. Verfasser: Timokha, A. N.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2015
Online Zugang:https://trim.imath.kiev.ua/index.php/trim/article/view/41
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Назва журналу:Transactions of Institute of Mathematics of NAS of Ukraine
Завантажити файл: Pdf

Institution

Transactions of Institute of Mathematics of NAS of Ukraine
Beschreibung
Zusammenfassung:A complete weakly-nonlinear modal system of the Narimanov–Moiseevtype is derived for sloshing in an upright annular tank by using the deri-vation scheme proposed by the author for a spherical tank. The modalsystem couples the two dominant generalised coordinates responsible forthe lowest natural sloshing modes and an infinite set of the second- andthird-order generalised coordinates.