Geometric Error Analysis and Compensation in Spherical Generating Grinding of Hemispherical Shell Resonators

Area of Science:

• Mechanical Engineering
• Precision Engineering

Background:

• Geometric accuracy of hemispherical shell resonators (HSRs) is critical for hemispherical resonant gyroscope performance.
• Tool-setting and wear errors during precision grinding introduce form and positional inaccuracies in HSRs.

Purpose of the Study:

• To propose and validate a compensation method for generating grinding of HSRs.
• To systematically analyze geometric errors and establish a model for error compensation.

Main Methods:

• Developed a geometric model linking tool parameters (pose, size) to HSR errors.
• Implemented a compensation strategy based on the established mapping relationship.
• Conducted machining, on-machine measurement, and error compensation experiments.

Main Results:

• Reduced inner/outer spherical surface radius error from 10 μm to 1 μm.
• Improved sphericity from 5 μm to 1.5 μm and concentricity from 15 μm to 3 μm.
• Achieved simultaneous improvement in form and positional errors.

Conclusions:

• The proposed compensation method effectively reduces geometric errors in HSRs.
• The method enhances the accuracy and performance of hemispherical resonant gyroscopes.
• Validated the practical applicability through experimental results.