A Tool-Path Interpolation Algorithm Based on Unfolding-Bending Parametric Curves

Abstract:

To grind sculptured surface by swing motion, it’s needed to interpolate the discrete data nodes on the arc-driving surface. To ensure that all the sample points locate on the arc surface, a novel unfolding parameter curve is proposed. Firstly, all the discrete data are stretched onto a plane, inside which the cubic B-spline curves are interpolated. After that, some points are sampled from the spline curves and bended to the arc-driving surface according to the swing radius. To eliminate cutting vibration and chord error exceeds limitation; radial speed is tuned by controlling the chord error. The simulation results are given to prove the proposed algorithm.

• Periodical: Key Engineering Materials (Volumes 407-408)
• Pages: 220-224
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.407-408.220
• Online since: February 2009
• Authors: Li Cheng Fan, Li Ning Sun, Zhi Jiang Du
• Keywords: B-Spline Curve, Parametric Interpolation, Speed Control, Swing Grinding

References

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[2] iso-parameter (u=0. 007).

[3] iso-radical feedrate.

[4] the adaptive feedrate that confined chord errors.

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