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Harmful self-excited vibrations called chatter occur during cutting processes (milling and turning) as a result of the trace regeneration. Moreover, dynamics of milling process is also influenced by intermittent cutting teeth during cutting. The paper presents an analysis of two-dimensional nonlinear model of milling. The analysed model takes into account susceptibility of the tool and the workpiece. The dynamics of the milling process is described by the discontinuous differential equation with a time delay, which can cause process instability for various system parameters. Therefore, stability lobes diagram was determined numerically. In order to reduce harmful vibrations the concept of the use of active piezo-elements is presented here. In addition, the work shows numerical results of chatter control in open and closed loop.
