Abstract
Characteristics of vibration has been analyzed with a model of lumped system for a tool used in ultrasonic vibration cutting. The analysis shows that the amplitude of the tool vibration during cutting declines not always constantly but catastrophically with increase of cutting force at some conditions because of existing unstable phenomena in the vibration. For lower cutting speed the catastrophical attenuation of the vibration is more drastically, but higher amplitude is maintained before then. The analysis is applicable enough by taking into account the fact that the cutting force changes in practice depending upon the cutting phenomena at each condition.
