Milling stability for slowly varying parameters

Zoltan Dombovari, Jokin Munoa, Rachel Kuske, Gabor Stepan

Research output: Contribution to journalConference article

2 Citations (Scopus)


In order to predict the quality and the stability properties of milling processes, the relevant dynamics reduced to the cutting edges needs to be known. However, the dynamics varies through the workspace along the tool path during a given machining operation. This is the case for large heavy duty milling operations, where the main source of the relevant dynamics is related to the otherwise slowly varying machine structure rather than to the fairly steady milling tool dynamics. The effect of slowly varying dynamic parameters is presented for milling stability when the cutting process takes place in a region of the work space where the steady-state cutting would change from stable to unstable. After the separation of the slow and fast time scales, the governing non-autonomous delay differential equation is frozen in slow-time in order to determine the time-periodic stationary cutting solution of the milling operation for different parameters. The loss of stability is predicted from the correction to the time-periodic frozen time solution, for which we obtained non-autonomous equation for the accumulated growth over the slow-time. The growth shows loss of stability with a shift on the parameters compared to the static parameter solution.

Original languageEnglish
Pages (from-to)110-113
Number of pages4
JournalProcedia CIRP
Publication statusPublished - Jan 1 2018
Event8th CIRP Conference on High Performance Cutting, HPC 2018 - Budapest, Hungary
Duration: Jun 25 2018Jun 27 2018


  • Chatter
  • Milling
  • Regeneration
  • Varying dynamics

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Industrial and Manufacturing Engineering

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