Analysis of milling dynamics for simultaneously engaged cutting teeth

Oleg A. Bobrenkov, Firas A. Khasawneh, Eric A. Butcher, Brian P. Mann

Research output: Contribution to journalArticlepeer-review

46 Scopus citations


This paper investigates the stability of a milling process with simultaneously engaged teeth and contrasts it to prior work for a single tooth in the cut. The stability analyses are performed with the Chebyshev collocation method and the state-space TFEA technique. These analyses show that a substantially different stability behavior is observed. In addition, the stability lobes are shown to undergo rapid transitions for relatively small changes in the radial immersion ratio; these transitions are explained in terms of the specific cutting force profiles. The stable periodic motion of the tool was also investigated using a harmonic balance approach and a dynamic map created with the TFEA technique. The findings suggest that a large number of harmonics are required for the harmonic balance approach to obtain the correct solution.

Original languageEnglish (US)
Pages (from-to)585-606
Number of pages22
JournalJournal of Sound and Vibration
Issue number5
StatePublished - Mar 1 2010

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering


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