Generalized nonlinear modal model of the third order of smallness for sloshing in co-axial conical containers

For the problem on the resonant sloshing in coaxial conical reservoirs occurring due to harmonic horizontal tank excitations, an infinite-dimensional governing system of third-oder ordinary differential equations is derived. The derivation scheme is based on the non-conformal mapping technique and the...

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Bibliographic Details
Date:2017
Main Authors: Solodun, A. V., Солодун, А. В.
Format: Article
Language:Russian
Published: Інститут математики НАН України 2017
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/339
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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