The experimental study of shielding effects of the disk placed upstream of a cylinder is described. The disk reduces the drag of the cylinder and changes its dynamic characteristics. Two cylinders with different aspect ratio are studied. Without a disk, an elastically fixed cylinder in the airflow performs rotational oscillations with constant amplitude. The influence of the aerodynamic force on the damping of the oscillations depends on the disk diameter, the gap between disk and cylinder and aspect ratio of the cylinder. The disk reduces the amplitude of steady rotational oscillations or causes the damped rotational oscillations. A mathematical model is proposed for describing the rotational steady and damped oscillations of a cylinder with the disk.