High-speed cutting process for generating desired curved surface on workpiece

A process for generating with high speed a curved surface on a workpiece, using a numerical control (NC) processor comprising;

• a work spindle to hold a workpiece thereon, the work spindle being supported for rotation on a headstock, a Z-axis table allowing the work spindle to move in reciprocation in a Z-axis direction, an X-axis table arranged in opposition to the work spindle in a way allowed to move in reciprocation in an X-axis direction perpendicular to the Z-axis direction, a turner base fastened to the X-axis table, a slider allowed to move back and forth over the turner base in a Y-axis direction parallel with the Z-axis direction, a cutting tool mounted to the slider, and a driving means to force the slider in reciprocation in the Y-axis direction;
• wherein with an acceleration of the slider in reciprocation set at its highest acceleration, a rotating velocity of the work spindle is varied as the slider is made to continue reciprocation at its highest acceleration while moving across the workpiece, and movements of the slider in the Y-axis direction and the X-axis table in the X-axis direction are synchronized with the varied rotating velocity of the work spindle, whereby the cutting tool generates predetermined curved surface on a surface of the workpiece lying perpendicular to the Y-axis direction of the cutting tool.