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Modeling and Error Compensation for Concentric Grinding of Spherical Surfaces
Baozhen Li1,2, Keyan Song3, Dongxu Wu1,2
1Genertec Machine Tool Engineering Research Institute Co., Ltd., Beijing 100102, China.
Micromachines
|July 28, 2026
Summary
This study introduces a geometric modeling and error compensation method to enhance the form accuracy of spherical surfaces created using cup-wheel grinding. The method significantly reduces form errors, improving precision in spherical surface generation.
Area of Science:
- Manufacturing Engineering
- Materials Science
- Mechanical Engineering
Background:
- Achieving high form accuracy in spherical surfaces is critical for various applications.
- Traditional cup-wheel grinding methods often face challenges with precision and error accumulation.
Purpose of the Study:
- To develop a geometric modeling and error compensation strategy for concentric cup-wheel grinding of spherical surfaces.
- To improve the form accuracy of both convex and concave spherical surfaces.
Main Methods:
- Formulated the relative motion between the cup wheel and workpiece for concentric grinding.
- Established trajectory models for convex and concave spherical surfaces.
- Developed a central-peak-based error compensation model to address tool-setting and wheel-wear errors.
Main Results:
- Experimental verification on a convex spherical sample demonstrated the effectiveness of the models.
- The form error (PV value) was reduced from 57.7 μm to 0.3 μm after implementing the compensation model.
Conclusions:
- The proposed geometric modeling and error compensation method significantly enhances the form accuracy of spherical surfaces.
- This approach offers a viable solution for precision manufacturing of spherical components.
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