Development and verification of the energy method in computing the natural oscillation frequency splitting in a gyroscope ring resonator
Published: 23.04.2025
Authors: Kiselev R.M., Sorokin F.D.
Published in issue: #4(160)/2025
DOI: 10.18698/2308-6033-2025-4-2436
Category: Mechanics | Chapter: Theoretical Mchanics, Machine Dynamics
The paper proposes a new energy method to compute the natural oscillation frequency splitting in a ring-shaped micromechanical gyroscope resonator. It is known that splitting of a natural frequency used by the device in operation leads to a significant decrease in its accuracy; therefore, knowing the splitting value is important in practice. Traditional methods used in the splitting computation include a study of the oscillation differential equations for a dynamically asymmetric elastic ring in combination with the perturbation method. Instead of analyzing the differential equations, the paper suggests to compute splitting based on the expressions for potential and kinetic energies of the oscillating ring. In this case, the mathematical apparatus is significantly simplified, since computation is reduced to the traditional matrix operations. The paper analyzes the resonator defects influence on splitting. The results were successfully verified against the literary sources.
EDN RKABAK
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