The resonator's manufacturing process will result in an uneven mass distribution, and when it operates, the vibration of the resonator will generate an inertia force on the surface of the hemispherical resonator sphere, which will impact the resonator's functioning state. In this study, the dynamic equation of the resonator is established under the excitation condition, the inertia force is built into the equation, and the dynamic equation of the resonator under vibration is obtained. To investigate the impact of the relative amplitude and phase of the vibration amplitude and mass deviation on the deviation angle, the dynamic equations are simulated using Matlab. It is proven that the error is caused when the vibration frequency is equal to the intrinsic frequency of the resonator.
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ren et al. (2024) studied this question.
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