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An Adaptive Multi-Population Approach for Sphericity Error Evaluation in the Manufacture of Hemispherical Shell
Dongfang Zhao1,2, Junning Cui1,2, Xingyuan Bian1,2
1Center of Ultra-Precision Optoelectronic Instrument Engineering, Harbin Institute of Technology, Harbin 150080, China.
Sensors (Basel, Switzerland)
|March 13, 2024
Summary
A new method accurately evaluates sphericity errors in hemispherical shell resonators (HSRs) for improved hemispherical resonant gyroscope (HRG) performance. This high-speed, robust algorithm achieves sub-nanometer uncertainty, meeting manufacturing demands.
Area of Science:
- Mechanical Engineering
- Metrology
- Materials Science
Background:
- Hemispherical resonant gyroscopes (HRGs) performance is critically dependent on the sphericity of their hemispherical shell resonators (HSRs).
- Accurate sphericity error evaluation is essential during HSR production, requiring high-speed, high-accuracy, and robust methods.
Purpose of the Study:
- To develop an advanced sphericity error evaluation method for HSRs.
- To meet the stringent requirements for assessing sphericity errors in HSR manufacturing processes.
Main Methods:
- Designed a sphericity error evaluation method based on the minimum zone criterion.
- Incorporated an adaptive number of subpopulations, global and subpopulation optimal solutions for guided search.
- Utilized clustering for subpopulation initialization and dynamic elimination of inferior subpopulations.
Main Results:
- Simulation experiments showed excellent accuracy with results uncertainty on the order of 10-9 mm.
- Algorithm achieved an average evaluation time of less than 1 second, even with large datasets.
- Real-world HSR sample measurements demonstrated improved accuracy by 17% (inner) and 4% (outer) compared to coordinate measuring machines.
Conclusions:
- The developed algorithm meets the precision and speed requirements for sphericity error assessment in HSR manufacturing.
- The method shows significant potential for widespread application in precision manufacturing and metrology.
