 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Čçâ. ĐŔÍ. ĚŇŇ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| S.E. Perelyayev, "Theory of New Gyroscopic Sensors of the "Generalized" Foucault Pendulum Series Operating in Two Modes," Mech. Solids. 56 (8), 1611-1621 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
8 |
Pages |
1611-1621 |
| DOI |
10.3103/S0025654421080161 |
| Title |
Theory of New Gyroscopic Sensors of the "Generalized" Foucault Pendulum Series Operating in Two Modes |
| Author(s) |
S.E. Perelyayev (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Science, Moscow, Russia, pers2030@yandex.ru) |
| Abstract |
The fundamentals of the theory of new gyroscopic sensors of the “generalized” Foucault
pendulum series, which are implemented on the basis of a multimode elastic axisymmetric high-Q resonator, i.e., a hemispherical resonator gyroscope (HRG), are described. On the edge of a hemispherical quartz resonator of such an inertial sensor, multiple operational wave forms (modes) of mechanical standing waves of elastic vibrations can simultaneously be excited and exist. It should be noted that
when several modes (forms) of vibrations of an axisymmetric resonator are excited simultaneously,
multiple independent channels of duplicated inertial information of the gyroscope orientation in space
are created. The physical effect underlying the functioning of such sensors included in the considered
class of free gyroscopes is described. The application aspects of implementation of the fundamental
theory of a new “generalized” uncontrolled Foucault pendulum in high-precision inertial orientation
sensors operating simultaneously with two operating modes of elastic vibrations are presented. It is
shown that to implement a new way of functioning of a two-mode “generalized” uncontrolled Foucault pendulum in each design of the new HRG, it is necessary to provide excitation and sufficiently
accurate acquisition of primary information on the nodes and antinodes of the two main operational
modes (forms) of vibration of the gyroscope resonator edge. |
| Keywords |
classical Foucault pendulum, hemispherical resonator gyroscope, hemispherical resonator gyroscope, two-dimensional oscillator, two-mode “generalized” uncontrolled Foucault pendulum |
| Received |
29 September 2020 | Revised |
14 February 2021 | Accepted |
10 March 2021 |
| Link to Fulltext |
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