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A cutter contacting point trajectory prediction method combining harmonic functions and dimensionality reduction for
Liangji Chen1, Haohao Xu2, Huiying Li3
1Key Laboratory of Advanced Manufacturing and Automation Technology, Education department of Guangxi Zhuang Autonomous Region, Guilin University of Technology, 541006, Guilin , China.
Scientific Reports
|May 15, 2025
Summary
This study introduces a new method to reduce nonlinear errors in five-axis machining by predicting cutter contact point trajectories. The approach enhances machining precision and minimizes errors for improved accuracy.
Area of Science:
- Manufacturing Engineering
- Mechanical Engineering
- Computational Geometry
Background:
- Five-axis machining is prone to nonlinear errors due to deviations in cutter contact (CC) point trajectories.
- These errors significantly impact the precision and accuracy of machining operations.
Purpose of the Study:
- To present a novel method for reducing nonlinear errors at CC points in five-axis machining.
- To enhance the overall accuracy and precision of machining processes.
Main Methods:
- Establishing that interpolated CC points lie on a plane within a machining segment.
- Applying a geometric method for dimensionality reduction of CC points.
- Utilizing a harmonic function to predict CC point trajectories for error compensation.
Main Results:
- The proposed method effectively reduces nonlinear errors exceeding tolerance limits in five-axis linear trajectory interpolation.
- CC point errors are maintained within allowable limits.
- Tool center point errors are significantly reduced, confirming enhanced machining precision.
Conclusions:
- The developed method offers a viable solution for mitigating nonlinear errors in five-axis machining.
- This approach leads to substantial improvements in machining accuracy and performance.
- The findings pave the way for more precise and efficient five-axis machining applications.
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