Numerical simulations of turning dynamics with nonsmooth friction, delays, and stochasticity reveal stick-slip chatter, stochastic P and D bifurcations, and that basin stability can be used to control chatter via initial tool displacement and workpiece surface roughness.
Stépán, Modelling nonlinear regenerative effects in metal cutting, Philosophical Transactions of the Royal Society of London
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Interplay of Nonsmoothness, Time Delay, and Stochasticity in Turning Dynamics
Numerical simulations of turning dynamics with nonsmooth friction, delays, and stochasticity reveal stick-slip chatter, stochastic P and D bifurcations, and that basin stability can be used to control chatter via initial tool displacement and workpiece surface roughness.