Nonlinear Dynamics of a Wave Solid-State Gyroscope Taking into Account the Electrical Resistance of an Oscillation Control Circuit

This article is concerned with investigating the nonlinear dynamics of cylindrical resonator a wave solid-state gyroscope. The nonlinearity oscillations caused by properties electrostatic control sensors considered. derived taking into account finite ratio flexure to small gap sensors. equations electromechanical system that in interconnected form describe mechanical gyroscope and electrical circuit are derived. resulting differential belong class Tikhonov systems, since equation processes singularly perturbed. By low resistance oscillation circuit, which determines parameter at derivative perturbed processes, studied. method used obtain mathematical model dynamics, jointly takes circuit. A special proposed reduce standard for averaging averaged. It shown that, case oscillations, consideration does not affect angular velocity drift, but causes slight dissipation also leads an insignificant correction resonant frequency.