Sensors, Vol. 20, Pages 5454: Standing Wave Binding of Hemispherical Resonator Containing First –Third Harmonics of Mass Imperfection under Linear Vibration Excitation

Sensors, Vol. 20, Pages 5454: Standing Wave Binding of Hemispherical Resonator Containing First–Third Harmonics of Mass Imperfection under Linear Vibration Excitation Sensors doi: 10.3390/s20195454 Authors: Yan Huo Shunqing Ren Zhennan Wei Guoxing Yi Due to complicated processing technology, the mass distribution of a hemispherical resonator made of fused silica is not uniform, which can affect the azimuth of the standing wave of a resonator under the linear vibration excitation. Therefore, the analysis of standing wave evolution of a resonator with mass imperfection under linear vibration excitation is of significance for the improvement of the output accuracy of a gyroscope. In this paper, it is assumed that the resonator containing the first–third harmonics of mass imperfection is excited by horizontal and vertical linear vibration, respectively; then, the equations of motion of an imperfect resonator under the second-order vibration mode are established by the elastic thin shell theory and Lagrange mechanics principle. Through error mechanism analysis, it is found that, when the frequency of linear vibration is equal to the natural frequency of resonator, the standing wave is bound in the azimuth of different harmonics of mass imperfection with the change in vibration excitation direction. In other words, there are parasitic components in the azimuth of the standing wave of a resonator under linear vibration excitation, which can cause distor...
Source: Sensors - Category: Biotechnology Authors: Tags: Article Source Type: research