The Time-evolution of Dynamic Behavior in a Cutting Model using Pullback

抄録

Various system noises exist in machine systems. Generally, cutting systems receive a bad influence from noise. This study describes the cutting system with system noise. We superpose Gaussian noises on the cutting speed parameter in Grabec's orthogonal cutting model. In present study, we consider dynamical aspect of the solution process using the method of pullback. In previous study, it was confirmed that the vibration displacement of workpiece decreases under the influence of a noise which is added to cutting speed. In this paper, we show that there is not dependence on an initial value in the vibration behavior of workpiece. Moreover, it was found from the extraction result of dynamical structures in random process by the method of pullback that there is a possibility of dynamical structures including irregularity vibration.