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|
|Pages (from-to)||1069 - 1077|
|Number of pages||9|
|Publication status||Published - Dec 2004|
Publisher: American Institute of Physics