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<p>By using the condition of formation of internal resonances for steady-state liquid sloshing in toroidal tanks caused by the resonance excitation of the lowest eigenfrequency, we determine the set of input geometric parameters for which the secondary resonance phenomenon may lead to the amplification of higher modes. We formulate a series of recommendations for the forthcoming development of nonlinear modal methods for tanks of given shapes.</p>

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Problem of Internal Resonances of Liquid Sloshing in Moving Toroidal Tanks

  • 期刊论文

  • 发表日期：

    2026年8月3日

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  • Oleksandr Solodun

摘要

By using the condition of formation of internal resonances for steady-state liquid sloshing in toroidal tanks caused by the resonance excitation of the lowest eigenfrequency, we determine the set of input geometric parameters for which the secondary resonance phenomenon may lead to the amplification of higher modes. We formulate a series of recommendations for the forthcoming development of nonlinear modal methods for tanks of given shapes.