Stability Analysis and Nonlinear Chatter Prediction for Grinding a Slender Cylindrical Part

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. When parameters were outside of region, stable underwent supercritical Hopf bifurcation, resulting in loss behavior emergence periodic motions. Then, motions both predicted analytically using multiple scales, showing effect force on process. We analytical prediction valid since it agreed with simulation. results showed there exist three kinds motion, different amplitudes mode frequencies.