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Updated: Sep 15, 2025

Operation of the Collaborative Composite Manufacturing CCM System
Published on: October 1, 2019
Optimized dual NURBS curve interpolation for high-accuracy five-axis CNC path planning
Yi Xu1,2, Mohd Hairi Mohd Zaman3, Feng Zhou4
1Department of Academic Affairs Office, JiaXing NanYang Polytechnic Institute, Jiaxing, 314000, Zhejiang, China. xuyi@jxnyi.edu.cn.
A new dual NURBS curve interpolation algorithm enhances five-axis CNC machining. This method improves accuracy and efficiency for complex surfaces by synchronizing tool path and orientation, reducing errors and defects.
Area of Science:
- Manufacturing Engineering
- Computer-Aided Manufacturing
- Geometric Modeling
Background:
- Modern manufacturing demands high-precision and efficiency, making five-axis CNC systems essential for complex surfaces.
- Traditional interpolation methods struggle with synchronous control of tool position and orientation in five-axis machining.
Purpose of the Study:
- To develop and validate a novel dual NURBS curve interpolation algorithm for five-axis synchronized motion.
- To improve machining accuracy, efficiency, and surface quality for complex geometries.
Main Methods:
- A master-slave curve strategy was employed for dual NURBS interpolation, controlling tool path and orientation synchronously.
- Simulation experiments were conducted on Spiral, Blade, and Freeform surfaces.
Main Results:
- The dual NURBS method achieved a maximum chord error of 0.0006 mm and average error of 0.0004 mm, significantly outperforming traditional methods.
- Reduced chord error by over 68.6% and improved processing efficiency by more than 16% compared to conventional techniques.
- Demonstrated smooth velocity planning with speed fluctuations within 10 mm/s, minimizing tool vibration and surface defects.
Conclusions:
- The dual NURBS interpolation algorithm effectively enhances machining accuracy and efficiency for complex five-axis CNC operations.
- This method offers a robust solution for high-precision surface processing in industrial manufacturing.
- The findings confirm significant improvements in path smoothness, reduced errors, and better efficiency.
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