Design and Optimization of a Vibrating Ring Gyroscope with High Shock Resistance by Differential Evolution

In this paper, a mode order optimized vibrating ring gyroscope (VRG) with high shock resistance is designed, and the improved optimization algorithm is proposed to optimize the structure design. The mode order of n = 2 mode of the proposed VRG can be the first by structure design, which helps to enhance the anti-shock ability by increasing the translational mode frequency and avoid the excessive large n = 2 mode frequency at the same time. The optimization method based on the differential evolution (DE) algorithm is developed to maximize the anti-shock ability of the VRG. At first, the shock response of VRG is analyzed. After representing the working principle and specific design of the designed VRG, the effect of the structural parameter of VRG on mode orders and frequencies of the n = 2 mode and the translational mode as well as the shock response is simulated and analyzed. Finally, the structural design of VRG is transformed into a constrained optimization problem, and a modified DE algorithm integrated with the infeasible solution handling mechanism and the diversity enhancement strategy is applied to find feasible optimized structural parameters to maximize the shock resistance. The displacement and stress of optimized VRG structures under 10,000 g shock are small, which indicates the validity of the improved DE algorithm. Overall, the structure design and the optimization method in this paper can be a reference for other micromachined structure designs.