Non-linear Theory of Regenerative Chatter in Cutting Processes (II)
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In this chapter, two basic nonlinear factors in cutting process are taken into consideration at the same time: the pass of the cutting edge partly exceeds the work-piece material and the cutting force nonlinearly dependents on the thickness of cut, and a more perfect theoretical model about self-excited vibration of machine tool is established. This model can explain and predict the two important phenomena of cutting chatter: amplitude stability and the phenomenon of machine tool chatter induced by external shock. The latter is known as “finite amplitude stability”. These phenomena is unexplainable by traditional linear theory. This model leads to some meaningful conclusions, one of the most important is: under certain conditions, increase of the machine load (rather than decrease load), is helpful to suppress chatter, or even completely eliminate the flutter, and the cutting process is stabilized. The theoretical prediction results are in accordance with the experimental data.