C1連続円弧の当てはめに関する研究

概要

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In a process of press mould and die making in free-formed surface, the share section is a free-formed curve. It is inefficient to mill a free-formed curve using a liner interpolation of NC machine tool. The purpose of this research is to develop a fitting technique with needed accuracy, which fits series of circles with C1 continuity into point sequences on free-formed curve.The fitting method used for one circle was derived from two constrained conditions which are a pass point and a normal vector. The circle was calculated from the point sequences from 5 to 19. The combination of fitting points employed the back-tracking method. The combinations were searched by fitting the point sequences from 5 to 19 and the combination was changed when the fitting was unsuccessful. As a result of the experiment, 443 different types of combinations were detected from 201 points on B-spline curve under the condition of 0.04 mm tolerance and below.