Chatter stability analysis of the variable speed face-milling process

Sridhar Sastry, Shiv G. Kapoor, Richard E. DeVor, Geir E. Dullerud

Research output: Contribution to journalArticlepeer-review


In this study, a solution technique based on a discrete time approach is presented to the stability problem for the variable spindle speed face-milling process. The process dynamics are described by a set of differential-difference equations with time varying periodic coefficients and time delay. A finite difference scheme is used to discretize the system and model it as a linear time varying (LTV) system with multiple time delays. By considering all the states over one period of speed variation, the infinite dimensional periodic time-varying discrete system is converted to a finite dimensional time-varying discrete system. The eigenvalues of the state transition matrix of this finite dimensional system are then used to propose criteria for exponential stability. Predicted stability boundaries are compared with lobes generated by numerical time-domain simulations and experiments performed on an industrial grade variable speed face-milling testbed.

Original languageEnglish (US)
Pages (from-to)753-756
Number of pages4
JournalJournal of Manufacturing Science and Engineering, Transactions of the ASME
Issue number4
StatePublished - Nov 2001

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Mechanical Engineering
  • Computer Science Applications
  • Industrial and Manufacturing Engineering

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