Frictional chatter in orthogonal metal cutting

Marian Wiercigroch, A. M. Krivtsov

Research output: Contribution to journalArticlepeer-review

123 Citations (Scopus)


A comprehensive study of the frictional chatter occurring during metal-cutting process is given. A general mathematical model of the machine-tool-cutting process is established, and then a high-accuracy numerical algorithm is developed. Next, a two-degree-of-freedom model of orthogonal metal cutting is examined. Then stochastic properties of the material being cut are introduced to reflect variations in the workpiece properties, in particular, in the cutting resistance. Nonlinear dynamics techniques, such as constructing bifurcation diagrams and Poincare maps, are employed to ascertain dynamics responses for both the deterministic and the stochastic model. Untypical routes to chaos and unusual topology of Poincare cross-sections are observed. The conducted analysis has provided some practical design recommendations. Finally, occurrence of chatter was investigated analytically.

Original languageEnglish
Pages (from-to)713-738
Number of pages25
JournalPhilosophical Transactions of the Royal Society of London. Series A
Issue number1781
Publication statusPublished - Apr 2001


  • machine-tool chatter
  • dry friction
  • orthogonal metal cutting
  • nonlinear dynamics


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