This paper examines a set of parametric tunings for vibration absorbers to enhance stability in the event simultaneous chatter during machining and proposes novel tuning criterion minimizing definite integral frequency response function, while accounting damping absorber’s base component. Chatter vibrations are an inherent characteristic processes, common tool mitigating is tuned mass damper (T...

We consider here a model from [1] for regenerative chatter in a drilling process. The model is a nonlinear delay differential equation where the delay arises from the fact that the cutting tool passes over the metal surface repeatedly. For any fixed value of the delay, a large enough increase in the width of the chip being cut results in a Hopf bifurcation from the steady state, which is the or...

A cylindrical plunge grinding process was modeled to investigate nonlinear regenerative chatter vibration. The rotating workpiece a slender Euler–Bernoulli beam, and the wheel rigid body moving towards at very low feed speed. numerical method proposed provide critical boundaries for chatter-free grinding. It demonstrated that intersection set surrounded by these region considered parameters. Wh...

Micromilling process is used for fabrication and manufacturing of miniaturized components. Very high spindle rotational speeds are required in micromilling to reduce the chip load and to counter the low flexural rigidity of the micro-tool while machining hard materials. Apart from the high rotational speed (>100,000 rpm) which can excite dynamic instability, the dynamic force variation in micro...

In a turning process modeled using delay differential equations (DDEs), we investigate the stability of the regenerative machine tool chatter problem. An approach using the matrix Lambert W function for the analytical solution to systems of delay differential equations is applied to this problem and compared with the result obtained using a bifurcation analysis. The Lambert W function, known to...