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.
Popp, Non-smooth mechanical systems, Journal of Applied Mathematics and Mechanics 64 (2000) 765–772
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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.