In this paper, by analysing the axial cutting thickness and the cutting graphics, a new concept of cutting ratio K in vibration drilling is introduced for the first time. Cutting ratio K can show the proportion of cutting time in a cutting cycle and describe the working condition of the drilling during the vibration drilling. The relationship between cutting parameters and vibration parameters are denoted as two parameters, ω f and E. By computer program, the relationships between K and ω f is found; their characteristic are periodicity, symmetry and having many peak values. The curves, which describe the relation between K and E, are digressive. The regularity can be used to optimise the parameters in vibration drilling to achieve good machine performance. The experiment results indicate that the thrust, torque and the drill life are related to cutting ratio K .
NotationA the amplitude of the axial vibration drilling, mm θ rotational angle of the drill, rad f feedrate per revolution, mm/r E ratio, E = 4 A/f F the frequency of the axial vibration drilling, Hz n rotation speed of drill, rev/min ω f number of vibration cycles per revolution, ω f = 60 F/n r radius on a certain point of the cutting edge t time t c cutting time of each cycle t i idle time of each cycle T vibration cycle x(t) displacement of the axial vibration acting on the drill