Discrete sampled-data control of feed drive trajectory in NC machine tools by using vibration manipulation function (In case without concerning damping effect)

Abstract

Although a NC machine tool moves along previously designed machining path, it has mostly controlled with analog feedback loop. As high-speed tracking motion of XY table inspires vibration in the system, people desires feedforward trajectory without arousing residual vibration. In this study, we propose to design intermittent feed drive trajectory in NC machine tool by using vibration manipulation function (VMF) with discrete sampled-data control. We discuss rotational vibration of column on XY table, which is treated as two-mass one-spring model without damper. Rapid accelerated or decelerated trajectory can be designed from serially combined two VMFs with suppressing residual vibration.