Frequency characteristic of a uniformly rotating laser gyro in exact and polynomial forms
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Дата
2021
Автори
Науковий керівник
Назва журналу
Номер ISSN
Назва тому
Видавець
КПІ ім. Ігоря Сікорського
Анотація
In some inertial navigation systems of a carousel type, laser gyros operate in
regime of uniform rotation. For development of such systems and computer
simulation of their work, one needs to have the “exact” (in wide range of angular
velocities
) analytical expression for counterpropagating waves beat frequency
()
beat beat
of uniformly rotating device. This expression may be obtained by
solving the well-known system of laser gyro dynamic equations with accuracy to
second order in parameters of counterpropagating waves linear coupling. But
before use of such non-dithered laser gyros in the named inertial system, their
metrological parameters (scale factors and null shifts) must be preliminary
calibrated. For synthesis and qualitative analysis of methodical errors of the
procedure of such calibration on a quickly rotating platform of a single-axis stand,
one needs also to have the approximate analytical expression for
counterpropagating waves beat frequency in the form of polynomial
4
( 4)
3
( 3)
2
( 2)
1
(1) (0) ( 1)
K K K K K K
P
beat
with coefficients
K(1)
, ..., K(4)
which involve parameters of the exact expression
for
beat
. As analysis of the literature shows, the known expression for
beat
and
the known relations for some of coefficients of polynomial
P beat
are not complete
and, therefore, must be modified. In the paper, the result of such modification is
presented.
Опис
Ключові слова
Бібліографічний опис
Bondarenko, E. A. Frequency characteristic of a uniformly rotating laser gyro in exact and polynomial forms / E. A. Bondarenko // Механіка гіроскопічних систем : науково-технічний збірник. – 2021. – Вип. 41. – С. 50-61. – Бібліогр.: 23 назв.