“…The forces have three components namely, an impulse and a saw tooth components resulting form vibration of the tool after being subject to the impact (both at the spindle rotational frequency), in addition to a random part resulting form the stochastic nature of the cutting process. Machine tool vibrations acting at the base of the cutter (Z r andZ f ) each has three modes of vibration at 50, 165, and 300 Hz with accelerations of 10, 30, and 50 m/s 2 , respectively, as reported in [15].…”