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Dynamic Modeling of the Multiring Disk Resonator Gyroscope
Qingsong Li1, Dingbang Xiao2, Xin Zhou3
1College of Intelligence Science, National University of Defense Technology, Changsha 410073, China. liqingsong336@163.com.
Micromachines
|March 13, 2019
Summary
A new mathematical model for multiring disk resonator gyroscopes (DRGs) was developed using component mode synthesis (CMS). This method accurately predicts vibrating modes and lumped parameters, improving DRG analysis efficiency.
Area of Science:
- Mechanical Engineering
- Vibrational Analysis
- Resonator Dynamics
Background:
- Multiring disk resonator gyroscopes (DRGs) are crucial for high-performance applications.
- Current analysis relies heavily on the computationally intensive finite element method (FEM) due to DRG complexity.
Purpose of the Study:
- To develop a novel mathematical modeling approach for DRGs.
- To analyze DRG vibrating modes and lumped parameters.
- To enhance the efficiency of DRG analysis and design.
Main Methods:
- Component Mode Synthesis (CMS) method for mathematical modeling.
- Mathematical modeling of natural frequencies and mode shapes.
- Comparison of mathematical modeling results with FEM simulations.
- Investigation of lumped mass-spring models and geometric parameter effects.
Main Results:
- Identical mode shapes between mathematical modeling and FEM.
- Natural frequency errors within ±15% across various parameters.
- Demonstrated feasibility and effectiveness of the mathematical modeling approach.
- Established relationships between geometry and lumped mass-spring parameters.
Conclusions:
- The proposed mathematical modeling method is effective and feasible for DRG analysis.
- This approach significantly improves analytical efficiency compared to FEM.
- The method is applicable to other complex multiring-type resonators.
- Insights gained aid in the design optimization of DRGs.
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