A Tool-Path Interpolation Algorithm Based on Unfolding-Bending Parametric Curves
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.
Fan Rui, Qiao Lihong, Chen Huawei, Ochi Akio, Usuki Hiroshi and Sekiya Katsuhiko
L. C. Fan et al., "A Tool-Path Interpolation Algorithm Based on Unfolding-Bending Parametric Curves", Key Engineering Materials, Vols. 407-408, pp. 220-224, 2009