TY - GEN
T1 - Self-excited vibrations in a delay oscillator
T2 - 2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009
AU - Khasawneh, Firas A.
AU - Mann, Brian P.
AU - Bobrenkov, Oleg A.
AU - Butcher, Eric A.
N1 - Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2010
Y1 - 2010
N2 - This paper investigates the stability of a milling process with simultaneously engaged flutes by extending the state-space temporal finite elements method. In contrast to prior works, multiple flute engagement due to both a high depth of cut and a high step- over distance are considered. A particular outcome of this study is the development of a frame work to determine the stability of periodic, piecewise continuous delay differential equations. Another major outcome is the demonstration of different stability behavior at the loss of stability in comparison to prior results. To elaborate more, period doubling regions are shown to appear at relatively high radial immersions when multiple flutes with either a zero or non-zero helix angle are simultaneously cutting.
AB - This paper investigates the stability of a milling process with simultaneously engaged flutes by extending the state-space temporal finite elements method. In contrast to prior works, multiple flute engagement due to both a high depth of cut and a high step- over distance are considered. A particular outcome of this study is the development of a frame work to determine the stability of periodic, piecewise continuous delay differential equations. Another major outcome is the demonstration of different stability behavior at the loss of stability in comparison to prior results. To elaborate more, period doubling regions are shown to appear at relatively high radial immersions when multiple flutes with either a zero or non-zero helix angle are simultaneously cutting.
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U2 - 10.1115/DETC2009-86636
DO - 10.1115/DETC2009-86636
M3 - Conference contribution
AN - SCOPUS:77953744167
SN - 9780791848982
T3 - Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009
SP - 1387
EP - 1395
BT - Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009
Y2 - 30 August 2009 through 2 September 2009
ER -