Interpolation Algorithm for NURBS Curve with Scheduled Feedrate on Curvature Extreme

DOI

10.2991/icsmim-15.2016.20How to use a DOI?

Keywords

NURBS curve interpolation, Curvature extreme, Scheduling feedrate.

Abstract

In CNC machining, it is desired to obtain high machining accuracy with high processing velocity as far as possible, however it is difficult to realize, and especially machining NURBS curve with large curvature. Based on scheduled feedrate on curvature of NURBS, a new NURBS curve interpolation algorithm was proposed. First, the curvature extreme of NURBS curve was calculated, and the critical value was defined according to machining dynamical requirements. Second, the NURBS curve was split several sub-segments, feedrate scanning algorithm based on S curve acceleration/deceleration was used to schedule the feedrate within each sub-segments and the connection points between adjacent sub-segments. Last, during real-time interpolation, with the second-order Taylor expansion, the interpolation parameter was computed. The results of interpolation case indicated the proposed method not obtain high interpolation accuracy with high interpolation feedrate, but the interpolation output acceleration and jerk within the machine tool’s dynamical requirements.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Guo-Shun Ji
AU  - Wu-Jia Yu
AU  - Zhi-Ping Chen
PY  - 2016/01
DA  - 2016/01
TI  - Interpolation Algorithm for NURBS Curve with Scheduled Feedrate on Curvature Extreme
BT  - Proceedings of the 2015 4th International Conference on Sensors, Measurement and Intelligent Materials
PB  - Atlantis Press
SP  - 103
EP  - 107
SN  - 2352-538X
UR  - https://doi.org/10.2991/icsmim-15.2016.20
DO  - 10.2991/icsmim-15.2016.20
ID  - Ji2016/01
ER  -