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Regenerative Model of Cutting Process with Nonlinear Duffing Oscillator

Rusinek R, Weremczuk A, Warmiński J.

Mechanics and Mechanical Engineering

2011

Vol. 15, nr 4

131--145

The paper presents analytical and numerical study of externally forced Duffing oscillator with delayed displacement feedback. By using analytical method, stability lobes for a linear oscillator with time delay is determined and the fundamental resonance of the Duffing oscillator with time delay is calculated by means of the multiple scale method. Next, an influence of delayed displacement feedback on the classical Duffing oscillator is examined and an effect of cubic nonlinearity on the stability of the regenerative model of cutting process is analysed.