On oscillations of a plate near the “across-the-flow” equilibrium

An elastically mounted plate is considered that is placed in in flow and can rotate about the axis passing through its center and parallel to the longer side of the plate. In the equilibrium, the plate is perpendicular to the flow. In order to simulate the unsteady interaction of the plate with the flow, a “liquid oscillator” model is used. Auto-oscillations arising in the system are studied. Dependence of their amplitude and frequency on the flow speed is analyzed.