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Second-order resonance of sloshing in a tank
Authors:GX Wu  
Institution:aDepartment of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, UK
Abstract:Sloshing in a two-dimensional rectangular tank in horizontal motion is analysed based on the velocity potential theory. It is found that even when the first-order excitation is away from all the natural frequencies of the tank, second-order resonance can still occur when the sum-frequency or the difference-frequency is equal to one of the natural frequencies corresponding to the even mode. However, such resonance is not excited when the sum or difference frequency is equal to the natural frequency of an odd mode.
Keywords:Second-order resonance  Sloshing  Sum and difference frequency
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