Space corner smoothing method based on 3D generalized Euler spiral

Abstract

The invention relates to a space corner smoothing method based on a three-dimensional generalized Euler spiral. The method first makes the tangent plane of adjacent straight line segments or circular arc segments parallel to the XY plane at the space corner through coordinate rotation; then makes the three-dimensional generalized The third derivative of the Euler spiral at the end point is the same as that of the straight line segment or the arc segment, so that the parameters of the three-dimensional generalized Euler spiral are obtained by solving; then, the Newton method is used to calculate the three-dimensional generalized Euler spiral and the straight line segment or arc The distance between the segments, and use the secant method to limit the distance within the allowable range of the tolerance; finally, the adjacent straight line segment or circular arc segment and the three-dimensional generalized Euler spiral are transformed to the original position by coordinate inverse rotation, so that Get the smoothed space corner. The invention realizes the smoothness of the tool track whose adjacent straight line segments or circular arc segments are not in the same plane, that is, the tool track including space corners, and can be applied to the track preprocessing of the numerical control machine tool to improve the processing efficiency.

Description

technical field [0001] The invention relates to the technical field of numerical control machine tool processing. The invention relates to a method for smoothing spatial corners in tool tracks processed by numerically controlled machine tools, in particular to a method for smoothing spatial corners based on three-dimensional generalized Euler spirals. Background technique [0002] Document 1 "W.Wang, C.Hu, K.Zhou, S.He, (B.6) Corner trajectory smoothing with asymmetrical transition profile for CNC machine tools, International Journal of Machine Tools and Manufacture 144 (2019)." published a A method for smoothing corners using asymmetric transition curves. This method achieves a smooth transition of the tool path by inserting an asymmetric transition curve in the corner of the tool path. However, this method is only applicable to the smoothing of tool paths containing only G01 commands, that is, tool paths that only contain straight line segments, and cannot be applied to t...

AI Technical Summary

Problems solved by technology

[0006] In order to overcome the problem that existing corner smoothing methods cannot smooth space corners, the present invention provides a space corner smoothing method based on a three-dimensional generalized Euler spiral

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