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Устойчивость стационарных колебаний цилиндрического резонатора гироскопа…
Инженерный журнал: наука и инновации
# 5 2016
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Stability of stationary vibrations of cylindrical gyro
resonator with electromagnetic control system
D.A. Maslov
National Research University Moscow Power Engineering Institute,
Moscow, 111250, Russia
The article considers dynamics of a cylindrical resonator of the wave solid-state gyro
with an electromagnetic control system allowing reducing the instrument readiness time
for operation comparing to electrostatic control system. The mathematical model de-
scribing the resonator vibrations and the electromagnetic processes in the vibration exci-
tation system in the coherent manner is created. It is shown that when the positional exci-
tation is used attendant parametric excitation of vibrations appears. The case is consid-
ered when the simultaneous action of forced position excitation and attendant parametric
excitation results in combined vibration. Using a method of splitting the non-autonomous
systems of differential equations with periodic matrices and Lienard – Shepherd criterion
of stability the condition of asymptotic stability of stationary vibrations of gyro resonator
is obtained. The regions of asymptotic stability of stationary vibrations of gyroscope res-
onator in the space of system parameters are constructed.
Keywords
: wave solid-state gyro, cylindrical resonator, parametric excitation, stability
of vibrations.
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