Abstract
While operating the contact rotating systems, a periodic polygonal deformation pattern is formed on the peripheral surface of a roll. Such phenomena is called the pattern formation phenomena. The occurrence mechanism of pattern formation phenomena for contact rotating systems was clarified by regarding the cause of phenomena as the unstable vibration generated in a time delay system. Linear analysis is sufficiently effective in order to estimate the occurrence region of the unstable vibration. However we confirmed the vibration behavior resulting from nonlinearity, such as that a frequency response shows the characteristic of a soft spring, a jump phenomenon, and higher harmonic resonance, in the experiment of a pattern formation phenomenon due to viscoelastic deformation. In this report, the authors add the adequate nonlinearity to viscoelastic part and analyze the vibration behavior of the systems. We apply analysis for nonlinear viscoelastic model by Runge-Kutta-Gill method and it compares with an experimental result.
