Studying of the Non-Isotropic and Nonlinear Behaviour of Vibrating Structure Gyroscope via Inverse Methods of Mechanics

Abstract

The report is devoted to study of non-isotropic and nonlinear dynamic properties of micromachined vibrating structure gyroscope are studied. The equations of motion of the ring resonator are derived to account non-isotropic and nonlinear properties of resonator material. Asymptotic model for slow variables describing controlled oscillations is constructed according to schemes of the Krylov-Bogolyubov averaging method. Algorithms of parameters identification of gyro drift produced by non-isotropic and nonlinear properties of system for forced oscillations mode are proposed. The proposed averaging and identifying methods are used by students of Robotics, Mechatronics, Dynamics and Strength of Machines Department of National Research University «Moscow Power Engineering Institute» for performance of graduate works.