Intermittent and chaotic vibrations in a regenerative cutting process

Abstract We have examined a cutting process with dry friction and contact loss effects. To model the second pass of the tool through the workpiece, we used a harmonic function representing the surface corrugations. The mathematical model consists of a single differential equation of second order. By numerically solving the governing differential equation, we obtained the time series for the cutting depth for different excitation frequencies. The time series are analyzed using the methods of recurrence plots, recurrence quantification analysis and wavelet analysis. The results show an intermittent character of the system dynamics with transition to chaotic motion.

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