Dynamics of Vibratory Drilling with Electromagnetic Vibration Exciter

Dynamics of a device with electromagnetic vibration exciter for vibratory drilling is discussed. The nonlinear mathematical model is developed that consists of three groups of equations: nonlinear differential equations of electromechanical oscillations; two-parametrical law of cutting; nonlinear algebraic equations of forming of new surfaces in the gutting process, including retardation. For the case of absence of cutting the approximated analytical solution is obtained by a method of multiscale disintegration. Dynamics of the device in the cutting process is considered. Areas of the regular intermittent cutting are found.