Resonant sloshing in a square-base tank due to an angular-and-horizontal periodic forcing

Abstract

A modal method is developed for the problem of the oscillation of a liquid in a square-section tank, which performs periodic horizontal and angular motions of small amplitude. The analysis shows that the dominant wave component is exclusively determined by the first harmonic of periodic excitation. Equivalent harmonic motions are reciprocal or elliptic types. The steady-state resonant wave regimes for this type of perturbation are studied.