Non-linear Theory of Regenerative Chatter in Cutting Processes (I)

Abstract

Firstly, a nonlinear chatter model proposed by other researchers was introduced, which reflects the nonlinear stiffness of machine tool structure. The achievement of this model was discussed and the difficulties and problems were pointed out. Then, a new nonlinear chattering model established by the author was introduced. The model is based on a nonlinear factor of tool jumping out of work-piece material, when vibration is severe enough. The characteristics and conclusions of this model, such as amplitude stability and the influence of the cutting parameters on the stabilized amplitude, were discussed in detail.