Bifurcation and chaotic vibration of frictional chatter in turning process

A comprehensive 3-degree-of-freedom dynamic model of turning process is proposed to overcome the shortage of consideration on the feed velocity in Rusinek’s work; nonlinear dynamics behaviors of the cutting tool are investigated by means of displacement bifurcation diagram, time history, and power spectrum with cutting velocity as the bifurcation parameter. These results show that there are many kinds of nonlinear dynamic phenomena under the effect of cutting velocity, such as period, chaos, and crisis; furthermore, periodic chaos and crisis, and the high cutting velocity seem to be the effective means to suppress the vibration amplitude of the cutting tool