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В.Ф. Судаков

140

ISSN 0236-3933. Вестник МГТУ им. Н.Э. Баумана. Сер. Приборостроение. 2016. № 4

Судаков Владимир Федорович

— д-р техн. наук, профессор кафедры «Электротехника

и промышленная электроника» МГТУ им. Н.Э. Баумана (Российская Федерация, 105005,

Москва, 2-я Бауманская ул., д. 5).

Просьба ссылаться на эту статью следующим образом:

Судаков В.Ф. Метод построения динамической частотной характеристики лазерного

гирометра со знакопеременной частотной подставкой типа меандр // Вестник МГТУ

им. Н.Э. Баумана. Сер. Приборостроение. 2016. № 4. C. 129–141.

DOI: 10.18698/0236-3933-2016-4-129-141

METHOD FOR CONSTRUCTING THE DYNAMIC FREQUENCY

CHARACTERISTICS OF LASER GYROMETER WITH ALTERNATING

FREQUENCY MEANDER STAND

V.F. Sudakov

mr.vvffss@inbox.ru

Bauman Moscow State Technical University, Moscow, Russian Federation

Abstract

Keywords

Complex (combined) stands with alternating frequency are

used in laser gyrometers (LH) to approximate the shape

of their frequency characteristics (CH) to an ideal straight

line. The known analytical methods for calculating of CH

cannot be applied in these cases. It takes unacceptably long to

use personal computers (PC). This article offers a method to

calculate the dynamic frequency characteristics (VX) for

alternating frequency stands. In particular, the increment

of the beat signal phase during the period of the stand can

be regarded as the rotation angle from the phase plane

for the same time. Vector is the solution of an auxiliary linear

vector differential equation. Thus, instead of solving nonline-

ar phase equation the article offers to solve a linear Hamilto-

nian system of differential equations of the second order.

As a result, the most time-consuming part of the calculation

is formulated in analytical form. The calculations of

the recurrent type take little time and are executed in

Mathcad 15. Meander type of stand has been studied repeat-

edly and its characteristics are well known. Therefore, it is a

good option for a test of the proposed method. This article

applies the method for the calculation of the dynamic fre-

quency characteristics (VX) for alternating frequency mean-

der stand

Laser gyrometer, the phase equa-

tion, stand frequency, frequency

response, stand type meander

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[2] Azarova V.V., Golyaev Yu.D., Savel'ev I.I. Zeeman laser gyroscopes.

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2015, vol. 45, no. 2, pp. 171–179.