Modelling of regenerative and frictional cutting dynamics

Yao Yan, Jian Xu* (Corresponding Author), Marian Wiercigroch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)


As most investigations of regenerative and frictional cutting chatters have been performed separately up to now, this paper aims to bridge the gap between the two sources of cutting instability by a new simple one degree-of-freedom (DOF) model involving both time-delayed regenerative effect in chip thickness and Stribeck effect in frictional velocity. In addition, process damping introduced by the interaction between workpiece material and tool's flank face is included as well for the discussion of cutting stability in low-velocity zone. By comparing with other results, it is validated that the new model with Stribeck effect improves the prediction of linear cutting stability in the low-velocity zone. Then the influences of friction on the linear stability is extensively investigated, which shows that a small coefficient of static friction and a large Stribeck velocity benefit the cutting stability in low- and intermediate-velocity zones. In addition, linear analysis of the cutting geometries proves that large shear and rake angles can improve the cutting stability as well.

Original languageEnglish
Pages (from-to)86-93
Number of pages8
JournalInternational Journal of Mechanical Sciences
Early online date23 Mar 2019
Publication statusPublished - 1 Jun 2019

Bibliographical note

This research is supported by National Natural Science Foundation of China (Grants No. 11872147, 11502048, 11772229, and 11572224), R&D Program for International S&T Cooperation and Exchanges of Sichuan province (Grant No. 2018HH0101) and the Fundamental Research Funds for the Central Universities (Grant No. ZYGX2018J078).


  • Cutting chatter
  • Regenerative effect
  • Velocity-dependent coefficient of friction


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