Comprehensive Performance-Oriented Multi-Objective Optimization of Hemispherical Resonator Structural Parameters.

Area of Science:

• Mechanical Engineering
• Materials Science
• Physics

Background:

• Hemispherical resonant gyroscopes are crucial for high-precision navigation in aviation and aerospace.
• Resonator structural parameters directly impact gyroscope performance, affecting accuracy and lifespan.
• Current research lacks clarity on the relationship between structural parameters and gyroscope performance.

Purpose of the Study:

• To investigate the influence of structural parameters on hemispherical resonator performance.
• To establish a mapping relationship between structural and performance parameters.
• To optimize resonator design for improved thermoelastic damping and frequency difference.

Main Methods:

• Developed a high-precision finite element simulation model of a hemispherical resonator.
• Analyzed thermoelastic damping and structural parameter effects.
• Utilized a Particle Swarm Optimization-Backpropagation (PSO-BP) neural network for parameter mapping.
• Applied the Non-dominated Sorting Genetic Algorithm II (NSGA-II) for multi-objective optimization.

Main Results:

• Achieved a 4.61% increase in the minimum frequency difference from interference modes.
• Improved thermoelastic damping by approximately 70.41%.
• Developed a comprehensive multi-objective optimization method for structural parameters.

Conclusions:

• The proposed optimization method effectively enhances hemispherical resonator performance.
• This approach offers a cost-effective strategy for high-performance gyroscope design.
• The methodology can be adapted for optimization in other manufacturing processes.