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• W3020965957 abstract "Large-amplitude oscillations of turning operations are investigated, which can be modelled by a one degree-of-freedom damped oscillator subjected to the regenerative effect that introduces a relevant time delay in the system. In the case of large oscillations, when the cutting tool loses contact with the surface of the workpiece, the time delay is switched off, leading to a non-smooth delay differential equation. To explore the geometric structure of the global dynamics of the system, the mathematical model is approximated by means of the essential part of the spectrum in the region where the stationary cutting process may lose its stability. The trajectories embedded in the infinite-dimensional phase space are interpreted in a three-dimensional subspace and then analyzed by means of a discrete Lorenz-map. The bifurcation diagrams of the non-smooth system include chaotic windows, which are presented by numerical and semi-analytical tools and compared to the existing results in the literature." @default.
• W3020965957 created "2020-05-13" @default.
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• W3020965957 date "2020-05-01" @default.
• W3020965957 modified "2023-09-27" @default.
• W3020965957 title "Essential chaotic dynamics of chatter in turning processes" @default.
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• W3020965957 doi "https://doi.org/10.1063/1.5143216" @default.
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