An interpolation method based on adaptive smooth feedrate scheduling and parameter increment compensation for NURBS
1School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, China.
This study introduces an improved non-uniform rational B-splines (NURBS) interpolation method for smoother, high-quality free-form modeling. The adaptive smoothing and parameter compensation enhance feed motion stability and accuracy.
Area of Science:
- Computer-Aided Design (CAD)
- Geometric Modeling
- Manufacturing Engineering
Background:
- Non-uniform rational B-splines (NURBS) offer superior efficiency and quality for free-form curve and surface modeling compared to traditional methods.
- Achieving stable and efficient interpolation feed motion remains a challenge in complex modeling tasks.
Purpose of the Study:
- To develop an advanced NURBS interpolation method that enhances feed motion efficiency and stability.
- To address issues of feedrate overrun and velocity errors in interpolation point parameter calculation.
Main Methods:
- Implemented adaptive feedrate control based on curvature constraints for NURBS curve segmentation.
- Utilized improved S-shape acceleration/deceleration control to manage jerk and prevent feedrate overrun.
- Developed a parameter increment compensation method to reduce velocity fluctuations and improve interpolation parameter calculation accuracy.
Main Results:
- The proposed method effectively segments NURBS curves and optimizes feedrate based on curvature.
- Adjusted jerk using S-shape control successfully prevented feeding speed overrun.
- Parameter increment compensation significantly reduced velocity fluctuations and improved calculation accuracy.
Conclusions:
- The novel NURBS interpolation method demonstrates effectiveness in achieving high-efficiency and stable feed motion.
- Simulation and experimental results validate the algorithm's performance for free-form modeling applications.
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