Investigation of period-doubling islands in milling with simultaneously engaged helical flutes

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

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

This paper investigates the stability of a milling process with simultaneously engaged flutes using the state-space TFEA and Chebyshev collocation methods. In contrast to prior works, multiple flute engagement due to both the high depth of cut and high step-over distance are considered. A particular outcome of this study is the demonstration of a different stability behavior in comparison to prior works. To elaborate, period-doubling regions are shown to appear at relatively high radial immersions when multiple flutes with either a zero or nonzero helix angle are simultaneously cutting. We also demonstrate stability differences that arise due to the parity in the number of flutes, especially at full radial immersion. In addition, we study other features induced by helical tools such as the waviness of the Hopf lobes, the sensitivity of the period-doubling islands to the radial immersion, as along with the orientation of the islands with respect to the Hopf lobes.

Original languageEnglish (US)
Article number021008
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Volume134
Issue number2
DOIs
StatePublished - 2012
Externally publishedYes

Fingerprint

period doubling
submerging
lobes
collocation
helices
parity
Demonstrations
sensitivity

Keywords

  • Chebyshev
  • helical flutes
  • milling
  • stability
  • temporal finite element

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Mechanical Engineering
  • Mechanics of Materials

Cite this

Investigation of period-doubling islands in milling with simultaneously engaged helical flutes. / Khasawneh, Firas A.; Bobrenkov, Oleg A.; Mann, Brian P.; Butcher, Eric.

In: Journal of Vibration and Acoustics, Transactions of the ASME, Vol. 134, No. 2, 021008, 2012.

Research output: Contribution to journalArticle

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