The linearization for wave solid-state gyroscope resonator oscillations and electrostatic control sensors forces
Received 04 July 2017; accepted 26 July 2017
2017, Vol. 13, No. 3, pp. 413-421
Author(s): Maslov D. A., Merkuryev I. V.
A wave solid-state gyroscope with a cylindrical resonator and electrostatic control sensors is
considered. The gyroscope dynamics mathematical model describing nonlinear oscillations of
the resonator under voltage on the electrodes is used. The reference voltage causes a cubic
nonlinearity and the alternating voltage causes a quadratic nonlinearity of the control forces.
Various regimes of supplying voltage to gyro sensors are investigated. For the linearization of
oscillations the form of voltages on the electrodes is presented. These voltages compensate for
both nonlinear oscillations of the resonator caused by electrostatic sensors and those caused by
other physical and geometric factors. It is shown that the control forces have a nonlinearity that
is eliminated by the voltage applied to the electrode system according to a special law.
The proposed method can be used to eliminate nonlinear oscillations and to linearize power
characteristics of sensors for controlling wave solid-state gyroscopes with hemispherical,
cylindrical and ring resonators.
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