Kinematical analysis of 5-axis corner smoothing for transitions between linear (G1) blocks

5-axis high speed machine tools are widely used in industry. The axis movements are generated by the Computer Numerical Controller (CNC) which has to transform the part program into a sequence of axis setpoints. Most of the time, the tool path is described with linear segments (G1) which lead to tangency discontinuities between blocks. With acceleration and jerk limitations, these discontinuities will induce a zero feedrate and thus surface marks and an increase in machining time. The aim of this paper is to study a 5-axis corner smoothing method required to obtain a C2 continuous tool path geometry. Several methods have been developed in 3-axis but the 5-axis corner smoothing is still a challenge. To smooth the tool tip position and the tool orientation, the 5-axis tool path is represented by two B-Spline curves. The proposed corner smoothing model allows to control the contour and orientation tolerances in the workpiece coordinate system. The main difficulty is to obtain a C2 continuous connection between the initial tool path and the newly inserted smoothing portion. This connection is linked to the parametrization of the bottom and top B-Splines. This algorithm can be integrated to a feedrate interpolator to control a 5-axis milling machine equipped with an Open CNC.

Data and Resources

Additional Info

Field Value
Source Machines et Usinages à Grande Vitesse 2012
Author Beudaert, Xavier, Lavernhe, Sylvain, Tournier, Christophe
Maintainer CCSD
Last Updated May 5, 2026, 12:24 (UTC)
Created May 5, 2026, 12:24 (UTC)
Identifier hal-00986166
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire Universitaire de Recherche en Production Automatisée (LURPA) ; École normale supérieure - Cachan (ENS Cachan)-Université Paris-Sud - Paris 11 (UP11)
coverage Saint Etienne, France
creator Beudaert, Xavier
date 2012-10-16T00:00:00
harvest_object_id f435be37-015c-4bcc-b6a3-9b6c9a6fec58
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2022-10-18T00:00:00
set_spec type:COMM