The purpose of this investigation is a invention of theory and technics on roundness,•¬0 machining; turning for a precise circle. The concrete technics is the super precision ultrasonic vibration turning with a both end dead center support system. This is analyzed according to the principle of making a precise circle. A work is supported by both end dead centers and center holes which are machined precisely and revolved at slow speed. Under this condition, the work is machined as acting a

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... uously and systematically pulsating cutting force by the ultrasonic vibration cutting mechanism.