Open AccessSpace cutter compensation method for five-axis nonuniform rational basis spline machining
Author(s) -
Yanyu Ding,
Tao Wang,
Bo Li,
Jingchuan Dong,
Zhe Liu
Publication year - 2015
Publication title -
advances in mechanical engineering/advances in mechanical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.318
H-Index - 40
eISSN - 1687-8140
pISSN - 1687-8132
DOI - 10.1177/1687814015594125
Subject(s) - machining , spline (mechanical) , basis (linear algebra) , interpolation (computer graphics) , discretization , cutter location , bézier curve , trajectory , basis function , point (geometry) , numerical control , machine tool , coordinate system , mathematics , geometry , computer science , mathematical analysis , engineering , mechanical engineering , physics , astronomy , frame (networking)
In view of the good machining performance of traditional three-axis nonuniform rational basis spline interpolation and the space cutter compensation issue in multi-axis machining, this article presents a triple nonuniform rational basis spline five-axis interpolation method, which uses three nonuniform rational basis spline curves to describe cutter center location, cutter axis vector, and cutter contact point trajectory, respectively. The relative position of the cutter and workpiece is calculated under the workpiece coordinate system, and the cutter machining trajectory can be described precisely and smoothly using this method. The three nonuniform rational basis spline curves are transformed into a 12-dimentional Bézier curve to carry out discretization during the discrete process. With the cutter contact point trajectory as the precision control condition, the discretization is fast. As for different cutters and corners, the complete description method of space cutter compensation vector is presented in this article. Finally, the five-axis nonuniform rational basis spline machining method is further verified in a two-turntable five-axis machine