Self-interrupted regenerative turning

P. Wahi, G. Stépán, A. Chatterjee

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

Abstract

A preliminary study of self-interrupted regenerative turning is performed in this paper. To facilitate the analysis, a new approach is proposed to model the regenerative effect in metal cutting. This model automatically incorporates the multiple-regenerative effects accompanying self-interrupted cutting. Some lower dimensional ODE approximations are obtained for this model using Galerkin projections. Using these ODE approximations, a bifurcation diagram of the regenerative turning process is obtained. It is found that the unstable branch resulting from the subcritical Hopf bifurcation meets the stable branch resulting from the self-interrupted dynamics in a turning point bifurcation. Using a rough analytical estimate of the turning point tool displacement, we can identify regions in the cutting parameter space where loss of stability leads to much greater amplitude self-interrupted motions than in some other regions.

Original languageEnglish
Title of host publicationIUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty - Proceedings of the IUTAM Symposium
PublisherSpringer Verlag
Pages353-362
Number of pages10
ISBN (Print)9781402063312
DOIs
Publication statusPublished - Jan 1 2007
EventIUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty - Nanjing, China
Duration: Sep 18 2006Sep 22 2006

Publication series

NameSolid Mechanics and its Applications
Volume2
ISSN (Print)1875-3507

Other

OtherIUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty
CountryChina
CityNanjing
Period9/18/069/22/06

Keywords

  • Global bifurcation
  • Multiple regenerative effect
  • Regenerative turning

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Automotive Engineering
  • Aerospace Engineering
  • Acoustics and Ultrasonics
  • Mechanical Engineering

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  • Cite this

    Wahi, P., Stépán, G., & Chatterjee, A. (2007). Self-interrupted regenerative turning. In IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty - Proceedings of the IUTAM Symposium (pp. 353-362). (Solid Mechanics and its Applications; Vol. 2). Springer Verlag. https://doi.org/10.1007/978-1-4020-6332-9_36