Investigating multiscale phenomena in machining: The effect of cutting-force distribution along the tool's rake face on process stability

Tamás G. Molnár, Tamás Insperger, S. John Hogan, Gábor Stépán

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

2 Citations (Scopus)

Abstract

Regenerative machine tool chatter is investigated in a nonlinear single-degree-of-freedom model of turning processes. The nonlinearity arises from the dependence of the cutting-force magnitude on the chip thickness. The cutting-force is modeled as the resultant of a force system distributed along the rake face of the tool. It introduces a distributed delay in the governing equations of the system in addition to the well-known regenerative delay, which is often referred to as the short regenerative effect. The corresponding stability lobe diagrams are depicted, and it is shown that a subcritical Hopf bifurcation occurs along the stability limits in the case of realistic cutting-force distributions. Due to the subcriticality a so-called unsafe zone exists near the stability limits, where the linearly stable cutting process becomes unstable to large perturbations. Based on center-manifold reduction and normal form calculations analytic formulas are obtained to estimate the size of the unsafe zone.

Original languageEnglish
Title of host publication11th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
PublisherAmerican Society of Mechanical Engineers (ASME)
Volume6
ISBN (Electronic)9780791857168
DOIs
Publication statusPublished - 1 Jan 2015
EventASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2015 - Boston, United States
Duration: 2 Aug 20155 Aug 2015

Conference

ConferenceASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2015
CountryUnited States
CityBoston
Period2/08/155/08/15

Keywords

  • Bistable Zones
  • Delay-Differential Equation
  • Distributed Delay
  • Hopf Bifurcation
  • Limit Cycle
  • Metal Cutting
  • Subcritical
  • Turning

Fingerprint Dive into the research topics of 'Investigating multiscale phenomena in machining: The effect of cutting-force distribution along the tool's rake face on process stability'. Together they form a unique fingerprint.

Cite this