Abstract: A method, apparatus and controller for machining non-circular work pieces. The apparatus, method and controller are preferably used in combination with rotating, equipment, such as a turning center having an x-y table capable of gross movements. The apparatus includes at least one position sensor for deriving an angular position signal of the work piece, a preferably longitudinally-disposed, flexible tool holder attached to a rigid tool block which holds the machine tool, a preferably solid state vibration actuator imparting active vibrational forces to the end of the tool holder, thus vibrating the machine tool at high frequency to impart the desired ovality to the work piece, and a control system for generating the output signal to the vibration actuator. Preferably, the control system includes manually adjusted magnitude and phase thereby providing a non-circular work piece profile with the desired ovality and positioning thereof.