平面曲線輪郭の精密NC加工のための最適円弧補間法

概要

論文の詳細を見る
In manufacturing of curve contours, circular interpolation is widely used. The problems of determing the parameters of circular arcs according to desired interpolation accuracy and minimizing the number of arcs have not been completely solved. In this paper, we describe a new circular interpolation method. It is based on the principle of minimax approximation and has three features ; the interpolation error is uniform and smooth in any monotone interval of radius of curvature, continuous at the connecting points between monotone intervals and not larger than the specified value ; the parameters of the circular arcs are determined so as to achieve the desired interpolation accuracy and also to minimize the number of arcs ; the circular arcs are compatible with the contour curve in terms of concavity and convexity, and have almost the same radius of curvature. The algorithm is simple and convenient for application to NC contour manufacturing. As examples, the interpolation results for the contours of a plane cam and an algebraic spiral scroll are shown with the measure profile errors of workpieces finished by a machining center.
社団法人日本機械学会の論文
1996-01-25