Global dynamics of low immersion high-speed milling

R Szalai, G Stépán, SJ Hogan

Research output: Working paperWorking paper and Preprints

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Abstract

In the case of low immersion high-speed milling, the ratio of time spent cutting to not cutting can be considered as a small parameter. In this case the classical regenerative vibration model of machine tool vibrations reduces to a simplified discrete mathematical model. The corresponding stability charts contain stability boundaries related to period doubling and Neimark-Sacker bifurcations. The subcriticality of both types of bifurcations is proved in this paper. Further, global period-2 orbits are found and analyzed. In connection with these orbits, the existence of chaotic motion is demonstrated for realistic high-speed milling parameters.
Original languageEnglish
Publication statusPublished - 2002

Bibliographical note

Additional information: Preprint of a paper later published by American Institute of Physics (2004), Chaos, 14(4), pp.1069-1077, ISSN 1054-1500

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