Global dynamics of low immersion high-speed milling

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...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2004-12, Vol.14 (4), p.1069-1077
Main Authors: Szalai, Róbert, Stépán, Gábor, Hogan, S. John
Format: Article
Language:English
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Summary: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.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.1807395