Self-Excited Vibration Drilling Models and Experiments

A nonlinear dynamical model of vibration drilling is presented. It takes in consideration cutting interruption through surface generation equations. The linear stability analysis yields stability charts and the nature of Hopf bifurcation is discussed at critical values of cutting parameters. Dimensionless equations have been employed in order to obtain graphical charts that completely describe the dynamics of a pair of vibration-drilling head - workpiece material. The analysis of “finite amplitude instability” phenomenon is carried out in time domain by computer simulations. A dynamic cutting fixture was used to run vibration drilling experiments. Based upon simulations and general vibration cutting model described here, the dispersion of the results from experimental work was explained. Important conclusions are drawn concerning forthcoming experiments in vibration drilling.