Next Article in Journal
Performance of An Electromagnetic Energy Harvester with Linear and Nonlinear Springs under Real Vibrations
Next Article in Special Issue
Design and Modification of a High-Resolution Optical Interferometer Accelerometer
Previous Article in Journal
Microstructure-Based Fiber-To-Chip Coupling of Polymer Planar Bragg Gratings for Harsh Environment Applications
Previous Article in Special Issue
Heart Rate Variability Analysis on Electrocardiograms, Seismocardiograms and Gyrocardiograms on Healthy Volunteers
 
 
Article

Standing Wave Binding of Hemispherical Resonator Containing First–Third Harmonics of Mass Imperfection under Linear Vibration Excitation

Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150080, China
*
Author to whom correspondence should be addressed.
Sensors 2020, 20(19), 5454; https://doi.org/10.3390/s20195454
Received: 27 July 2020 / Revised: 23 August 2020 / Accepted: 2 September 2020 / Published: 23 September 2020
(This article belongs to the Special Issue Advances in Inertial Sensors)
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 distortion of the output signal of a gyroscope. On the other hand, according to the standing wave binding phenomenon, the azimuths of the first–third harmonics of mass imperfection of a resonator can also be identified under linear vibration excitation, which can provide a theoretical method for the mass balance of an imperfect resonator. View Full-Text
Keywords: hemispherical resonator; mass imperfection; motion equation; linear vibration; standing wave binding hemispherical resonator; mass imperfection; motion equation; linear vibration; standing wave binding
Show Figures

Figure 1

MDPI and ACS Style

Huo, Y.; Ren, S.; Wei, Z.; Yi, G. Standing Wave Binding of Hemispherical Resonator Containing First–Third Harmonics of Mass Imperfection under Linear Vibration Excitation. Sensors 2020, 20, 5454. https://doi.org/10.3390/s20195454

AMA Style

Huo Y, Ren S, Wei Z, Yi G. Standing Wave Binding of Hemispherical Resonator Containing First–Third Harmonics of Mass Imperfection under Linear Vibration Excitation. Sensors. 2020; 20(19):5454. https://doi.org/10.3390/s20195454

Chicago/Turabian Style

Huo, Yan, Shunqing Ren, Zhennan Wei, and Guoxing Yi. 2020. "Standing Wave Binding of Hemispherical Resonator Containing First–Third Harmonics of Mass Imperfection under Linear Vibration Excitation" Sensors 20, no. 19: 5454. https://doi.org/10.3390/s20195454

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop