Fast computing of instantaneous cutter position error curve

Abstract

This article focuses on the computing efficiency of the instantaneous cutter position error curve in computer numerical control cutter positioning, which reflects the positional relationship between the cutter and the desired surface and leads to the strip width of current positioning. The directed projection is proposed to measure the distance of a discrete point to the cutter surface. Two models using fitting techniques are established to compute the instantaneous cutter position error curve. The fitting technique used in this article is based on the quartic polynomial model. In addition, to enhance the accuracy in the nonsymmetric case, the nonsymmetric quartic polynomial model is established, and it induces a more adaptable method. Illustrated experiments show good performance of the proposed methods.