Steady-State Resonant Sloshing in an Upright Cylindrical Container Performing a Circular Orbital Motion

Figure 2

Theoretical response curves for the rotary forcing associated with an experimental case in [15]. The panel (a) shows the dominant wave amplitude but (b) corresponds to the phase lag versus the scaled forcing frequency. The solid lines imply the stability but the dashed lines mark the unstable steady-state sloshing. There is the hysteresis between and , where two steady-state solutions coexist. Position of is determined by the damping rates. The calculations were done by using (31) and (32) with , , and .

(a)

(b)