A nonlinear dynamical model of vibration drilling is presented. The linear stability analysis is used to obtain 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. Based upon these simulations, the dispersion of the results from earlier experimental work was explained. Finally, important conclusions are drawn concerning forthcoming experiments in vibration drilling.
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