Self-excited vibrations in a delay oscillator: Application to milling with simultaneously engaged helical flutes

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

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 stepover 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.

Original languageEnglish (US)
Title of host publicationProceedings of the ASME Design Engineering Technical Conference
Pages1387-1395
Number of pages9
Volume1
EditionPARTS A AND B
DOIs
StatePublished - 2009
Externally publishedYes
EventASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009 - San Diego, CA, United States
Duration: Aug 30 2009Sep 2 2009

Other

OtherASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009
CountryUnited States
CitySan Diego, CA
Period8/30/099/2/09

Fingerprint

Vibration
Piecewise continuous
Period Doubling
Helix
Delay Differential Equations
Immersion
State Space
Differential equations
Demonstrations
Finite Element Method
Finite element method
Angle
Zero

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

Cite this

Khasawneh, F. A., Mann, B. P., Bobrenkov, O. A., & Butcher, E. (2009). Self-excited vibrations in a delay oscillator: Application to milling with simultaneously engaged helical flutes. In Proceedings of the ASME Design Engineering Technical Conference (PARTS A AND B ed., Vol. 1, pp. 1387-1395) https://doi.org/10.1115/DETC2009-86636

Self-excited vibrations in a delay oscillator : Application to milling with simultaneously engaged helical flutes. / Khasawneh, Firas A.; Mann, Brian P.; Bobrenkov, Oleg A.; Butcher, Eric.

Proceedings of the ASME Design Engineering Technical Conference. Vol. 1 PARTS A AND B. ed. 2009. p. 1387-1395.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Khasawneh, FA, Mann, BP, Bobrenkov, OA & Butcher, E 2009, Self-excited vibrations in a delay oscillator: Application to milling with simultaneously engaged helical flutes. in Proceedings of the ASME Design Engineering Technical Conference. PARTS A AND B edn, vol. 1, pp. 1387-1395, ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009, San Diego, CA, United States, 8/30/09. https://doi.org/10.1115/DETC2009-86636
Khasawneh FA, Mann BP, Bobrenkov OA, Butcher E. Self-excited vibrations in a delay oscillator: Application to milling with simultaneously engaged helical flutes. In Proceedings of the ASME Design Engineering Technical Conference. PARTS A AND B ed. Vol. 1. 2009. p. 1387-1395 https://doi.org/10.1115/DETC2009-86636
Khasawneh, Firas A. ; Mann, Brian P. ; Bobrenkov, Oleg A. ; Butcher, Eric. / Self-excited vibrations in a delay oscillator : Application to milling with simultaneously engaged helical flutes. Proceedings of the ASME Design Engineering Technical Conference. Vol. 1 PARTS A AND B. ed. 2009. pp. 1387-1395
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