On the Cause of Regenerative Chatter Due to Workpiece Deflection

Abstract

The cause and the mechanism of regenerative chatter vibrations due to the deflection of workpiece occurring in machining metals are investigated experimentally. The regenerative chatter vibration is induced by the phase lag of the undulations in successive cutting. This means that small undulations initially produced on a work surface by the transient vibration of the workpiece become larger and the undulations extend over the whole work surface because a given amount of energy is available for exciting or maintaining the vibration owing to the phase lag of successive undulations. Then, a differential equation of chatter vibration is introduced based on the experimental results, and some remarks on the properties of chatter vibration are given.

Stability Analysis of Spinning Stepped-Shaft Workpieces in a Turning Process

“…The values of parameters pertinent to the workpiece and cutting process are given as "7700 kg/m, E"207 GPa, G"77. 6 GPa, "0)9, "1, l"0)381 m,…”

“…Kato and Marui [6] investigated the causes of regenerative chatter due to workpiece de#ection in a cutting process. They performed cutting experiments using mild steel and cast iron under steady cutting conditions.…”

Lathe stability charts via acoustic emission monitoring

“…Kato and Marui [6] considered the phase lag of undulations in successive cutting as the chatter exhibiting force. Small undulations initially produced on a work surface by transient vibration of the workpiece become larger and extend over the whole work surface because a given amount of energy is available for maintaining the vibration owing to the phase lag of successive undulations.…”

“…Eqn. (5) was, thus, re-written as; (6) where, l b = Length of tool flank-workpiece interface C 3 = constant of proportionality C 4 = factor of signal attenuation between shear zone and the transducer C 5 = factor of signal attenuation between chip-tool interface and the transducer C 6 = factor of signal attenuation between wear zone and the transducer m = material dependent coefficient Fig. 5 shows the experimental set-up.…”

Two degree-of-freedom modeling and robust chatter control in metal cutting by piezoelectricity

“…The mechanism of energy excitation for chatter in the metal cutting process has been successfully explained in [4][5] [9][ IO] [ 13] [ 141. In contrast to the linear merchant models, the hysteresis model can better explain the experimental results, and give better correlations with the theoretical analyses of the dynamic cutting process. In this paper, the relationship between the cutting force and chip thickness fluctuation will be treated as a hysteresis model.…”