Skip to content

Global dynamics of low immersion high-speed milling

Research output: Working paperWorking paper and Preprints

Original languageEnglish
Publication date2002
StatePublished

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.

Additional information

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

Documents

  • Bcanm 2004r22

    Preprint (usually an early version) , 1 MB, PDF-document

View research connections

Related faculties, schools or groups

  1. Global dynamics of low immersion high-speed milling

    Research output: Contribution to journalArticle