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Aerospace Instrument-Making

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THE ERRORS OF DTG FROM THE TOTAL IMPACT OF CONSTANT ACCELERATIONS, LINEAR AND CIRCULAR VIBRATION
N.A. Temlyakov

The article discusses the appearance of driving moments with a cumulative effect on a dynamically tuned gyroscope (DTG) of constant accelerations, linear and circular vibration in the presence of instrumental errors in the manufacture of DTG rotor (gimbal assembly with a flywheel) taking into account the final linear stiffness and damping in the «flywheelcardan system suspension». Analytical expressions are obtained for the diverting moments that cause the departures from the DTG. For the first time, it is theoretically justified (and this is experimentally confirmed) that there is a departure from DTG when exposed to circular vibration with a frequency of rotation of the vibration vector equal to the frequency of rotation of the DTG rotor. In practice, such circular vibration can be simulated by setting a synchronized vibration perpendicular to the axis of rotation of the rotor with a frequency equal to the frequency of rotation of the rotor. For example, it is shown that the departure from axial imbalance and quadrature care, usually determined by the method of «revolution» in the field of gravity, can be determined by the vibration method, setting the vibration perpendicular to the wave with a frequency equal to the frequency of rotation. It is also shown that by setting the vibration along the rotation axis with a frequency equal to twice the rotor rotation frequency with the horizontal position of the angular momentum vector, one can determine the leaving of the DTG due to the unevenness of the axes of the suspension OX1 and OY1 only in a plane perpendicular to the axis of rotation. For the first time, one of the most probable causes of the so-called «linear drift» (the departure from the action of constant acceleration along the axis of rotation) is identified. In the well-known literature of the author the appearance of such care does not justify. Leaving appears at a vertical position of the vector of the kinetic moment in the presence in the spectrum of the radial natural vibration of the DTG component with a frequency equal to the frequency of rotation of the rotor. At its core, it is a departure from the square of accelerations (constant (g) and vibrational). In practice, this is confirmed: the maintenance increases by several times (depending on the amplitude of the specified vibration), if measured by the «revolution » method with simultaneous feeding of synchronized vibration perpendicular to the drive shaft with a frequency equal to the rotational speed of the DTG rotor. It is shown that the accuracy of the well-known method for determining the departure of DTG from the square of acceleration by feeding «oblique» vibration of a certain frequency depends on the frequency of the specified vibration. The formula for this dependence is given. Analytical expressions of the driving moments are given for vibrations with frequencies equal to the rotor's own resonant frequencies in the axial and radial directions, taking into account the damping in the «flywheel-cardan suspension system».
Key words: dynamically tuned gyroscope (DTG), driving moment, drift of DTG, instrumental error, DTG rotor, elastic suspension, drive shaft, constant acceleration, vibration.


DOI: 10.25791/aviakosmos.07.2019.752

Contacts: E-mail: itt@inertech.ru

Pp. 03-21.

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