 | | 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 (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| Yu. K. Zhbanov and N. V. Kalenova, "Surface unbalance of a hemispherical resonator gyro," Mech. Solids. 36 (3), 7-12 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
3 |
Pages |
7-12 |
| Title |
Surface unbalance of a hemispherical resonator gyro |
| Author(s) |
Yu. K. Zhbanov (Moscow)
N. V. Kalenova (Moscow) |
| Abstract |
In [1], the motion of a hemispherical resonator gyro
has been studied in the case of
anomalies (unbalances) in the distribution of masses under the assumption
that all anomalies are
concentrated on the edge of the resonator and have an arbitrary
distribution. It has been shown that the
overall reaction at the points of support is affected by the first three
harmonics of the unbalance, each component
being characterized by three scalar parameters.
Methods have been suggested for an experimental determination
of the unbalance parameters, together with balancing adjustments
ensuring that these parameters become equal to zero.
In the present paper, we consider the case of anomalous mass distribution
on the entire surface of the resonator. We show that
in order to have a complete description of an arbitrary
surface distribution of unbalances, as regards its effect on the
reaction at the points of support, each of the first three harmonics
should involve two additional scalar parameters, apart from
the two parameters introduced in [1]. The first pairs of the parameters determine the
effect of the waveform on the resultant of reaction forces at the points of support,
whereas the
second pairs of the harmonic parameters determine the effect of
the waveform on the net torque due to the reaction forces.
The reaction at the points of support vanishes only if all twelve
parameters (four for each harmonic) are equal to zero.
We propose a method to determine the values of the
unbalance parameters and suggest balancing adjustments
for the annihilation of the reaction forces and torques. |
| References |
| 1. | Yu. K. Zbanov and V. Ph. Zhuravlev,
"On the balancing of a hemispherical resonator gyro," Izv. AN. MTT
[Mechanics of Solids], No. 4, pp. 4-16, 1998. |
|
| Received |
14 September 2000 |
| << Previous article | Volume 36, Issue 3 / 2001 | Next article >> |
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