Global dynamics of low immersion high-speed milling

R Szalai, G Stépán, SJ Hogan

Research output: Contribution to journalArticle (Academic Journal)peer-review

57 Citations (Scopus)

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 contributionGlobal dynamics of low immersion high-speed milling
Original languageEnglish
Pages (from-to)1069 - 1077
Number of pages9
JournalChaos
Volume14 (4)
DOIs
Publication statusPublished - Dec 2004

Bibliographical note

Publisher: American Institute of Physics

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