Nonlinear regenerative chatter in turning

Robust control strategy for suppression of regenerative chatter in turning

“…In some works, the differential delay equation is associated with structural nonlinearities and nonlinear terms of high order for depth of cut in the cutting force expression [4,5]. In another approach, the cutting forces depend on velocity inducing a negative damping in turning process [6].…”

Stability improvement and regenerative chatter suppression in nonlinear milling process via tunable vibration absorber

“…(21). It should be mentioned that according to the formulation presented for the cutting forces in previous section, F x and F y are distributed along the cutting portion (along the axial depth of cut, a).…”

“…Delayed nonlinear models with square and cubic polynomial terms related to cutting force, structural stiffness and a power-law function for cutting forces have been considered [19][20][21][22]. In other works, visco-elastic and hysteresis effects arisen from the interaction of cutting force and chip thickness, variable friction, thermo-mechanical effect and intermittent engagement of the cutting tool have been identified as other sources of nonlinearity in machining processes [23].…”

Spindle speed variation and adaptive force regulation to suppress regenerative chatter in the turning process

“…Several models have been presented for chatter phenomenon in the turning process including the detailed analysis of the governing delay-differential equation and time domain solutions [1,2,[4][5][6][7]. The most common approach to avoid undesirable chatter vibration was through the adjustment of operational cutting parameters.…”