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The paper presents the results of an experimental-numerical study aimed at investigating the sloshing phenomenon in moving tuned sloshing dampers, with a particular attention to the physical mechanisms that determine the onset of hysteretic damping reducing the response of the substructure. Numerical simulations are carried out by a computational fluid dynamic model, while experiments are conducted by considering a rectangular tank having bottom dimensions of 40× 20 cm, actuated by an electric torsional servomotor coupled with a ball screw transmission device. The case of harmonic displacements imposed to the tank is investigated, considering different amplitudes, frequencies and depths of the inner liquid. In order to determine the energy dissipation associated with the hysteretic force-displacement cycles, the sloshing force produced by the motion of the liquid is obtained by measuring the shear force …