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 A. Butcher

doi:10.1115/DETC2009-86636

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 A. Butcher

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

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 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.

Original language	English (US)
Title of host publication	Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009
Pages	1387-1395
Number of pages	9
Edition	PART B
DOIs	https://doi.org/10.1115/DETC2009-86636
State	Published - 2010
Externally published	Yes
Event	2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009 - San Diego, CA, United States Duration: Aug 30 2009 → Sep 2 2009

Publication series

Name	Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009
Number	PART B
Volume	1

Conference

Conference	2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009
Country	United States
City	San Diego, CA
Period	8/30/09 → 9/2/09

ASJC Scopus subject areas

Computer Networks and Communications
Hardware and Architecture
Electrical and Electronic Engineering

Access to Document

10.1115/DETC2009-86636

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Cite this

Khasawneh, F. A., Mann, B. P., Bobrenkov, O. A., & Butcher, E. A. (2010). Self-excited vibrations in a delay oscillator: Application to milling with simultaneously engaged helical flutes. In Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009 (PART B ed., pp. 1387-1395). (Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009; Vol. 1, No. PART B). 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 A.

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009. PART B. ed. 2010. p. 1387-1395 (Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009; Vol. 1, No. PART B).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Khasawneh, FA, Mann, BP, Bobrenkov, OA & Butcher, EA 2010, Self-excited vibrations in a delay oscillator: Application to milling with simultaneously engaged helical flutes. in Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009. PART B edn, Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009, no. PART B, vol. 1, pp. 1387-1395, 2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009, San Diego, CA, United States, 8/30/09. https://doi.org/10.1115/DETC2009-86636

Khasawneh FA, Mann BP, Bobrenkov OA, Butcher EA. Self-excited vibrations in a delay oscillator: Application to milling with simultaneously engaged helical flutes. In Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009. PART B ed. 2010. p. 1387-1395. (Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009; PART B). https://doi.org/10.1115/DETC2009-86636

Khasawneh, Firas A. ; Mann, Brian P. ; Bobrenkov, Oleg A. ; Butcher, Eric A. / Self-excited vibrations in a delay oscillator : Application to milling with simultaneously engaged helical flutes. Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009. PART B. ed. 2010. pp. 1387-1395 (Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009; PART B).

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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 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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