Chucking compliance compensation with a linear motor-driven tool system

Abstract

This paper describes a system that compensates for machining errors resulting from chucking with separated jaws. In machining a chucked cylindrical workpiece, degradation in machining accuracy, such as out-of-roundness, is inevitable due to variation in the radial compliance of the chuck workpiece system caused by the position of jaws with respect to the direction of the applied force. To compensate for the machining error induced by chucking compliance, the roundness profile of the workpiece due to chucking compliance after machining should be predicted first. Then, using this prediction profile, a compensating tool feed trajectory can be generated. By synchronizing the cutting tool drive system with the rotation of the workpiece, machining errors induced by chucking compliance can be reduced. To satisfy the condition that the cutting tool feed system must provide both high speed and high position accuracy, a brushless linear DC motor is used. In this study, first, the variation in the radial compliance of the chuck workpiece system is obtained through a force-deflection experiment with a workpiece-chucked lathe. Next, using mathematical equations and the results of the cutting experiment, a workpiece profile prediction and its compensating tool trajectory are generated. Then, the configuration of the compensation system based on a linear motor is described, and a proportional integral derivative (PID) controller is designed to improve the system performance. Finally, the tracking performance of the system is confirmed by experiment. A real cutting experiment shows significant improvement in roundness.