Chaotic vibration of a simple model of the machine tool-cutting process system

M. Wiercigroch*

*Corresponding author for this work

Research output: Contribution to journalArticle

76 Citations (Scopus)

Abstract

A study on a simple model of the machine tool-cutting process system is presented. As the system is non-linear and discontinuous, and exhibits intermittent cutting, nonlinear dynamics techniques such as constructing bifurcation diagrams and Poincare mips were employed to ascertain a quality of motion. Untypical routes to chaos and unusual topology of Poincar sections were observed. New phenomena such as unidirectional bifurcation and births and deaths of periodic solutions were detected. It was also found out that the dynamic responses of the analysed system can be most effectively controlled by a magnitude of the cutting force.

Original languageEnglish
Pages (from-to)468-475
Number of pages8
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Volume119
Issue number3
DOIs
Publication statusPublished - Jul 1997

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machine tools
Machine tools
vibration
dynamic response
death
Chaos theory
Dynamic response
chaos
topology
diagrams
routes
Topology

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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