On the Key Parameters of an Interior Sloshing Absorber for Vibration Suppression

The vibration reduction for a cantilever beam with an interior sloshing absorber is numerically simulated using an implicit coupling approach of segregated solvers. The sloshing liquid damps the vibration by allowing the sloshing force to lag behind the displacement phase of the beam. The sloshing in the absorber is analyzed both theoretically and numerically. The results show that the impact of free sloshing on the forced sloshing causes the phase to be lagged behind when the free frequency is lower than the frequency of forced vibration. A range of values are considered for the parameters of the absorber and system vibration in the simulations to investigate their effects on the suppression capability of the absorber. In order to explain the effects of the parameters, two new parameters γ and κ are defined to represent the phase lag and magnitude of the sloshing force, respectively. Their applicability is confirmed by a series of numerical simulations. The results reveal the main mechanism of vibration suppression, providing a theoretical basis for optimizing the design of the interior absorber.