Abstract
In the field of mechanical engineering, a large number of contact rotating systems are used. While the systems are operating, periodic polygonal deformation patterns are often formed on the peripheral surfaces of rolls due to viscoelastic deformation, plastic deformation, cutting, grinding, wear and so on. Such phenomena are caused by the unstable vibrations generated in time delay systems. In this report, the authors suggest a simplified method for stability analysis by using energy factor, and develop a prevention measure of the unstable vibration. The validity of the present methods is confirmed from the numerical computational results.