Stability of the milling process

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Semi‐discretization method for delayed systems (2002, methodology): “Another approach was developed by Insperger and St ep an [4] for milling process analysis, when the discrete time delay is approximated by special continuous ones, and the in nite-dimensional eigenvalue problem is transformed into an approximate nite-dimensional one.”
Analysis of Milling Stability by the Chebyshev Collocation Method: Algorithm and Optimal Stable Immersion Levels (2009, result): “The same results were later shown for finite cutting times by Insperger and Stépán [12,13] using the semi-discretization method [14] and by Mann et al. [15-17] using the method of temporal finite elements [18].”
Stability of linear time‐periodic delay‐differential equations via Chebyshev polynomials (2004, background): “in milling, where the regenerative effect of the cutting process causes the time delay while the varying number of active teeth causes the time periodicity [4–8, 10], and in the remote control of periodic robot motion, where parametric excitation could be used to stabilize long-delay oscillations [1”
Stability chart for the delayed Mathieu equation (2002, methodology): “…of the most important mechanical application is the dynamics of milling, where the regenerative e¬ect of the cutting process causes the time delay, while the time-varying number of active teeth causes a time periodicity exactly equal to the time delay (see Insperger & St́ep´an 2000a; Davies et al .”