Studying stationary oscillation modes of the gyro resonator in the presence of positional and parametric excitations

Маслов, А. А.; Maslov, D. A.; Merkuryev, I. V.

doi:10.1134/s2075108714040099

Cited by 5 publications

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“…This article investigates nonlinear oscillations caused by electrostatic control sensors, deduces a number of nonlinear mathematical models, refines and summarizes the results of previous works [10][11][12][13][14]. This article discusses only WSG with a cylindrical resonator.…”

Section: Introductionmentioning

confidence: 82%

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Impact of Nonlinear Properties of Electrostatic Control Sensors on the Dynamics of a Cylindrical Resonator of a Wave Solid-State Gyroscope

Maslov

Merkuryev

2021

Mech. Solids

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Mathematical models of the dynamics of a cylindrical resonator of a wave solid-state gyroscope are deduced, which take into account the nonlinearities caused by the excitation of oscillations by electrostatic control sensors. The important types of nonlinearities are highlighted: cubic nonlinearity of a special type and quadratic nonlinearity affecting control. It is shown that cubic nonlinearity is derived when the electrostatic component of stiffness is refined and leads to the angular velocity of the gyroscope drift, which is proportional to the square of the reference voltage. To study the breakdown of oscillations, the equations of amplitude-frequency characteristics are derived, taking into account cubic nonlinearity and quadratic nonlinearity affecting control, the influence of quadratic nonlinearity on the amplitude of oscillations, and cubic nonlinearity -on a decrease in the resonance frequency are shown. Formulas for calculating the resonance frequency and algorithms for calculating the frequencies of the breakdown of oscillations taking into account the nonlinearity of oscillations are proposed.

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Section: Introductionmentioning

confidence: 82%

“…The terms containing and characterize the parametric excitation of the resonator oscillations accompanying the forced oscillations. The stability of oscillations for a given concomitant parametric excitation in the linear formulation of the problem was investigated in [11].…”

Section: ) mentioning

confidence: 99%