Linear, nonlinear dynamics, and sensitivity analysis of a vibratory ring gyroscope

ABSTRACT: The linear and nonlinear dynamic responses of a vibratory ring gyroscope are investigated in this study focusing on the response mechanism of such a vibratory gyroscope. It is found that the nonlinear equations governing the drive and sense directions are coupled through both inertial line...

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Bibliographic Details
Main Authors: Dong-Dong Liang, Xiao-Dong Yang, Wei Zhang, Yuan Ren, Tianzhi Yang
Format: Article
Language:English
Published: Elsevier 2018-12-01
Series:Theoretical and Applied Mechanics Letters
Online Access:http://www.sciencedirect.com/science/article/pii/S2095034918302125
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Summary:ABSTRACT: The linear and nonlinear dynamic responses of a vibratory ring gyroscope are investigated in this study focusing on the response mechanism of such a vibratory gyroscope. It is found that the nonlinear equations governing the drive and sense directions are coupled through both inertial linear and geometric nonlinear terms. Nonlinear responses are studied based on the full coupled nonlinear dynamic equations. The varying amplitude on the sense direction is analyzed for different input angular rates. The effect of nonlinearity on the ring gyroscope system is performed by comparing the results of nonlinear responses to those of linear responses. The contributions of some parameters to the amplitude responses and gyroscope sensitivity are analyzed, the conclusions of which provide guidelines to improve the sensitivity of the vibratory ring gyroscopes. Keywords: Vibratory ring gyroscope, Amplitude responses, Nonlinear effect, Sensitivity
ISSN:2095-0349