A space cutter compensation method for multi-axis machining using triple NURBS trajectory

Abstract

Aiming at the space cutter compensation problem for multi-axis machining of complex surfaces, firstly, a space cutter compensation method for multi-axis machining based on triple NURBS (non-uniform rational B-splines) trajectory is proposed, which can describe the machining trajectory information more completely and accurately, and is also expected to achieve dynamic radius and length compensation of multi-axis machine’s space cutter. Secondly, for the generation of NURBS trajectory of cutter axis vector and cutting contact vector, three error sources in NURBS curve offset process are analyzed in detail. The error scaling problem is especially pointed out, and a NURBS curve fast offset method with user-definable tolerance is proposed. Finally, the specific calculation method and system implementation scheme of space cutter radius and length compensation using triple NURBS curve trajectory are given. The effectiveness of the proposed space cutter compensation method was verified by simulation and machining experiments.