On internal resonances for sloshing in mobile coaxial reservoirs of conical shape

Employing the secondary (internal) resonance condition for steady-state sloshing in a conical tank that appears due to resonant excitation of the lowest natural frequency, the paper establishes a set of input geometric parameters (semi-apex angle of outer and inner conus) for which the secondary res...

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Bibliographic Details
Date:2017
Author Affiliations:
  • А. В. Солодун — Институт математики НАН Украины
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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/55
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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
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Summary:Employing the secondary (internal) resonance condition for steady-state sloshing in a conical tank that appears due to resonant excitation of the lowest natural frequency, the paper establishes a set of input geometric parameters (semi-apex angle of outer and inner conus) for which the secondary resonance phenomenon can lead to amplification of higher modes. A series of recommendation regarding the forthcoming development of nonlinear modal methods for the indicated tank shape are formulated.