Modelling nonlinear regenerative effects in metal cutting

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164 Citations (Scopus)

Abstract

This paper deals with the nonlinear models of regenerative chatter on machine tools. The limitations and actual problems of the existing theory are summarized. These cause difficulties in industrial applications, like in the design of optimum technological parameters, adaptive control and/or vibration-suppression strategies. An industrial machine-tool vibration case is analysed experimentally and conclusions are drawn with respect to the likely mechanism of the nonlinear behaviour in a four-dimensional phase-space representation embedded in the infinite-dimensional phase space of regenerative chatter. In some respects, the whole phenomenon seems to be analogous to the turbulence in fluid mechanics.

Original languageEnglish
Pages (from-to)739-757
Number of pages19
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume359
Issue number1781
DOIs
Publication statusPublished - Apr 15 2001

Fingerprint

metal cutting
Chatter
machine tools
Nonlinear Modeling
Metal cutting
Machine Tool
Machine tools
Phase Space
Metals
Vibration Suppression
vibration
adaptive control
fluid mechanics
Infinite-dimensional Spaces
Fluid Mechanics
Fluid mechanics
Industrial Application
Adaptive Control
Industrial applications
Nonlinear Model

Keywords

  • Chaos
  • Chatter
  • Hopf bifurcation
  • Quasi-periodic vibrations
  • Regenerative effect

ASJC Scopus subject areas

  • General

Cite this

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AB - This paper deals with the nonlinear models of regenerative chatter on machine tools. The limitations and actual problems of the existing theory are summarized. These cause difficulties in industrial applications, like in the design of optimum technological parameters, adaptive control and/or vibration-suppression strategies. An industrial machine-tool vibration case is analysed experimentally and conclusions are drawn with respect to the likely mechanism of the nonlinear behaviour in a four-dimensional phase-space representation embedded in the infinite-dimensional phase space of regenerative chatter. In some respects, the whole phenomenon seems to be analogous to the turbulence in fluid mechanics.

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