Explanation for low-speed stability increases in machining: Application of a continuous delay model

Firas A. Khasawneh, Brian P. Mann, Tamás Insperger, Gabor Stépán

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

Abstract

This paper investigates the analysis of delay integro-differential equations to explain the increased stability behavior commonly observed at low cutting speeds in machining processes. In the past, this improved stability has been attributed to the energy dissipation from the interference between the work-piece and the tool relief face. In this study, an alternative physical explanation is described. In contrast to the conventional approach, which uses a point force acting at the tool tip, the cutting forces are distributed over the tool-chip interface. This approximation results in a second order delayed integro-differential equation for the system that involves a short and a discrete delay. A method for determining the stability of the system for an exponential shape function is described, and temporal finite element analysis is used to chart the stability regions. Comparisons are then made between the stability charts that use the conventional point force and those that use the distributed force model for continuous and interrupted turning.

Original languageEnglish
Title of host publication2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008
Pages503-510
Number of pages8
EditionPART A
Publication statusPublished - Oct 19 2009
Event2008 ASME Dynamic Systems and Control Conference, DSCC 2008 - Ann Arbor, MI, United States
Duration: Oct 20 2008Oct 22 2008

Publication series

Name2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008
NumberPART A

Other

Other2008 ASME Dynamic Systems and Control Conference, DSCC 2008
CountryUnited States
CityAnn Arbor, MI
Period10/20/0810/22/08

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ASJC Scopus subject areas

  • Control and Systems Engineering
  • Industrial and Manufacturing Engineering
  • Mechanical Engineering

Cite this

Khasawneh, F. A., Mann, B. P., Insperger, T., & Stépán, G. (2009). Explanation for low-speed stability increases in machining: Application of a continuous delay model. In 2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008 (PART A ed., pp. 503-510). (2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008; No. PART A).