Advanced Multiobjective Structure Optimization and Excitation Method of Metal Resonant Gyro

The metal resonant gyro is characterized by small size, low cost, and strong overload resistance, and shows broad application prospects in the field of inertial navigation. Currently, structural optimization methods of resonators are based on single-objective parameter optimization and fail to consider the comprehensive impact of multiple structural parameters on overall performance indices. In this article, a metal resonator with a tooth structure is designed based on thin shell theory and the energy loss principle. Using a finite element simulation method combined with multivariate linear regression equations, the linear influence of each structural parameter on overall performance is investigated. A multiobjective optimization model using three key indices as objective functions is constructed and optimized with the non-dominated sorting genetic algorithm II (NSGA-II) algorithm, providing a set of optimization parameters for subsequent research. It establishes equivalent mathematical models for different forms of electrostatic forces and verifies their validity using finite element simulations. Finally, the resonator’s response under different excitation forms is experimentally validated. Results show that the resonator exhibits optimal resonance under single-octave sinusoidal excitation: the four-wave belly oscillation pattern remains intact in driving mode with no frequency crosstalk. The resonant amplitude limit is 0.34 nm, significantly greater than under other excitation forms. The proposed method achieves comprehensive performance optimization of the metal resonator and provides a theoretical basis for selecting excitation forms in resonant gyros.