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.
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e-mail: firas.khasawneh@bristol.ac.uk
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April 2012
Research Papers
Investigation of Period-Doubling Islands in Milling With Simultaneously Engaged Helical Flutes
Firas A. Khasawneh,
Firas A. Khasawneh
Department of Engineering Mathematics,
e-mail: firas.khasawneh@bristol.ac.uk
University of Bristol
, Bristol, BS8 1TR, United Kingdom
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Oleg A. Bobrenkov,
Oleg A. Bobrenkov
Department of Mechanical and Aerospace Engineering,
New Mexico State University
, Las Cruces, NM
88003
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Brian P. Mann,
Brian P. Mann
Department of Mechanical Engineering and Materials Science,
Duke University
, Durham, NC
27708
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Eric A. Butcher
Eric A. Butcher
Department of Mechanical and Aerospace Engineering,
New Mexico State University
, Las Cruces, NM
88003
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Firas A. Khasawneh
Department of Engineering Mathematics,
University of Bristol
, Bristol, BS8 1TR, United Kingdom
e-mail: firas.khasawneh@bristol.ac.uk
Oleg A. Bobrenkov
Department of Mechanical and Aerospace Engineering,
New Mexico State University
, Las Cruces, NM
88003
Brian P. Mann
Department of Mechanical Engineering and Materials Science,
Duke University
, Durham, NC
27708
Eric A. Butcher
Department of Mechanical and Aerospace Engineering,
New Mexico State University
, Las Cruces, NM
88003J. Vib. Acoust. Apr 2012, 134(2): 021008 (9 pages)
Published Online: January 18, 2012
Article history
Received:
July 16, 2010
Accepted:
July 14, 2011
Online:
January 18, 2012
Published:
January 18, 2012
Citation
Khasawneh, F. A., Bobrenkov, O. A., Mann, B. P., and Butcher, E. A. (January 18, 2012). "Investigation of Period-Doubling Islands in Milling With Simultaneously Engaged Helical Flutes." ASME. J. Vib. Acoust. April 2012; 134(2): 021008. https://doi.org/10.1115/1.4005022
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