A Study on Internal Resonances of Liquid Sloshing in Rigid Tanks

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This research investigated the behavior of internal resonances of liquid sloshing in square rigid tanks horizontally subjected to sinusoidal or random excitation. The mathematical model for the phenomena of the internal resonances for two predominant sloshing modes and higher sloshing modes was constructed considering the nonlinearity of sloshing. It was found from numerical and/or experimental results that this mathematical model enabled to clearly show the sloshing behavior of internal resonances and to predict the liquid elevation with high accuracy. Furthermore, it was shown that the internal resonance appearing in square tanks could be utilized more effectively than conventional rectangular tanks to suppress vibrations of machines and structures.