Modelling nonlinear regenerative effects in metal cutting

This paper deals with the nonlinear models of regenerative chatter on machi ne tools. The limitations and actual problems of the existing theory are su mmarized. These cause difficulties in industrial applications, like in the design of optimum technological parameters, adaptive control and/or vibrati on-suppression strategies. An industrial machine-tool vibration case is ana lysed experimentally and conclusions are drawn with respect to the likely m echanism of the nonlinear behaviour in a four-dimensional phase-space repre sentation embedded in the infinite-dimensional phase space of regenerative chatter. In some respects, the whole phenomenon seems to be analogous to th e turbulence in fluid mechanics.