Abstract
The dominant mechanism involved in patttern formation phenomena in contact rotating systems is considered to be unstable vibrations generated in linear time-delay systems due to processes such as viscoelastic deformation, wear, cutting and grinding. A number of countermeasures have been proposed to prevent the occurrence of these phenomena.In this report, we attempted energetic considerarion for the self excited vibration caused time delay. In equation of motion, we regarded damping term, damping term of time delay, and rigidity section of the time delay as external forces and used integral to get the energies these forces do. When the sum of these energies is positive value, the foerces do work of positive and the system must be unstable. On the other hand, when the sum of these energies is negative value, the forces do work of negative and the system must be stable. By the approach, we confirmed that a system is stable or not in terms of energy. In previous studies, stabilization of the system using a dynamic absorber was suggested as an effective preventative measure, and the validity of dynamic abosorber was confirmed by numerical analysis using stability analysis method. In this report, we considered for the operating principle of a dynamic absorber for pattern formation phenomena.
