Vortex-induced vibration annihilation of two-degree-of-freedom circular cylinder by rotational oscillations

In this paper, an active control strategy based on the cylinder forced rotary oscillation is considered to reduce the flow-induced vibration of an elastically mounted two-degree-of-freedom circular cylinder free to vibrate in both transverse and in-line directions. The fluid flow governing equations are two-dimensional incompressible Navier-Stokes model which discretized by means of the finite volume method. The frequency ratio〖 f〗_rot/f_n, and rotation rate α, are two important adjustable parameters which must be selected in such a way that the vortex shedding frequency locked on associated rotational forcing frequency, and the cylinder transverse and in-line vibrations will be suppressed accordingly. Based on comprehensive simulations accomplished in this paper, three different active open-loop control systems is selected in order to effectively reduce the cylinder vibrations for reduced velocities in synchronization region with the following input parameters: (for V_r=5: α=1,f_rot/f_n=1.1), (for V_r=6: α=1,f_rot/f_n=1.3), and (for V_r=7: α=1,f_rot/f_n=1.5). These three control systems are found to decrease the maximum transverse cylinder vibration amplitudes by 88%, 92%, and 92% while the corresponding in-line vibration amplitudes decrease by 93%, 90%, and 82%, respectively.