抄録
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 some 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, it is not possible to know behavior of large vibration, because the effect of the nonlinearity increases as the vibration grows. In this report, the authors add the adequate nonlinearity to cylindrical grinding systems and analyze the vibration behavior of the system. The harmonic balance method is used to calculate the periodic steady-state vibration approximately. In addition, the stability analyses of the periodic steady-state vibration are carried out from the characteristic exponents obtained from the variational equation. Furthermore, influence of initial condition and nonlinearity upon the vibration behavior was investigated.
