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Proceedings of CAD'15, 2015, 419-424
5D Cubic B-Spline Interpolated Compensation of Geometry-Based Errors in Five-Axis Surface Machining
Abstract. In computer numerically-controlled (CNC) machining technology, the interpolator is responsible for generation of position commands required to replicate an intended shape of the part with minimum deviation. In the early days of numerically controlled (NC) systems, tool interpolation was performed by means of linear and circular interpolations and this permitted simple computations with a minimal amount of constraints. However, these straightforward interpolation schemes were later found unable to meet the accuracy and productivity expectations associated with the fabrication of mechanical components whose shape is defined by multiple complex or freeform surfaces. The approximation of 3D tool paths/curves with a set of linear and circular piecewise segments results is often associated with several drawbacks, such as: large number of line segments, discontinuities, feed rate fluctuations as well as heavier data transmission loads. As such, in order to reduce the number of accelerations and decelerations, and to preserve a relatively constant feed rate along the intended tool path, the number of approximating linear piecewise segments should be maximized. On the other hand, long linear segments often mean large deviations from the design surface combined with significant decreases in quality/smoothness of the machined surface.
Keywords. Geometry-based error reduction, Inverse kinematics, 5D joint space, Synchronized five-axis motions, 5D velocity continuity