The chaotic oscillations of high-speed milling

G. Stépán, R. Szalai, S. J. Hogan

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

1 Citation (Scopus)


In case of highly interrupted machining, the ratio of time spent cutting to not cutting can be considered as a small parameter. In these cases, the classical regenerative vibration model playing an essential role in machine tool vibrations breaks down to a simplified discrete mathematical model. The linear analysis of this discrete model leads to the recognition of the doubling of the so-called instability lobes in the stability charts of the machining parameters. This kind of lobe doubling is related to the appearance of period doubling vibration or flip bifurcation. This is a new phenomenon occurring primarily in low-immersion high-speed milling along with the classical self-excited vibrations or secondary Hopf bifurcations. The present work investigates the nonlinear vibrations in case of period doubling and compares this to the wellknown subcritical nature of the Hopf bifurcations in turning processes. Also, the appearance of chaotic oscillation 'outside' the unstable period-two oscillation is proved for low-immersion high-speed milling processes.

Original languageEnglish
Title of host publicationIUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mchanics
Subtitle of host publicationProceedings of the IUTAM Symposium held in Rome, Italy, 8-13 June 2003
Number of pages12
Publication statusPublished - 1 Dec 2005

Publication series

NameSolid Mechanics and its Applications
ISSN (Print)0925-0042


  • Flip bifurcation
  • High-speed milling
  • Time delay


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