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.
Translated title of the contribution | Global dynamics of low immersion high-speed milling |
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Original language | English |
Pages (from-to) | 1069 - 1077 |
Number of pages | 9 |
Journal | Chaos |
Volume | 14 (4) |
DOIs | |
Publication status | Published - Dec 2004 |