This paper investigates the command generation for three-axis CNC machining. In the integration of CAD and CAM, it is necessary to relate machine tool dynamics and control in a CAM process to the geometrical data in a CAD model. The data stored in a CAD model is usually static in nature and represented by unitless parameters. Yet, in machine tool motion and control, the data should be transformed into a time dependent domain. In this paper, the geometrical properties of a cutter path, including position, tangent, curvature and torsion are analytically related to the motion dynamics of a machine tool including feedrate, acceleration, jerk and driving force. The information about feedrate, acceleration and driving force is needed for command generation. Jerk analysis can be used for cutting quality analysis.

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