EFFECTS OF CANTILEVER LENGTH AND DIAMETER OF THE CUTTING TOOL ON RESONANCE FREQUENCY IN ULTRASONIC ASSISTED MACHINING

Abstract

In ultrasonic assisted machining, it is required to operate the vibratory actuator at its resonant frequency. This paper presents a quick method to determine the resonance frequency of the ultrasonic vibratory systems for different values of the diameter and the cantilever length of the cutting tool. Applying the V-I method, the resonance frequency of the ultrasonic assisted machining unit can be measured by the electrical impedance. The results showed that both the cantilever length and the diameter of the cutting tool have significant effects on the resonance frequency. Given a tool with preset diameter, the cantilever length of the cutting tool can be adjusted to make the system work with the resonance frequency of the whole. The results obtained thus would be promissing to apply in designing and operating the vibratory unit in ultrasonic assisted machining.