| | 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 |
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S. A. Chernikov, "On the influence of the bandwidth of uniaxial channels on the stability of a triaxial forced gyrostabilizer," Mech. Solids. 37 (5), 5-10 (2002) |
Year |
2002 |
Volume |
37 |
Number |
5 |
Pages |
5-10 |
Title |
On the influence of the bandwidth of uniaxial channels on the stability of a triaxial forced gyrostabilizer |
Author(s) |
S. A. Chernikov (Moscow) |
Abstract |
We analyze the stability of a triaxial forced gyrostabilizer
the channels of which are coupled due to viscous friction
in the precession axes of the gyros, as well as due to
the dependence of the control signals of the gyros on the
angular motion of the stabilized platform relative to the
axes parallel to the precession axes of the gyros.
The influence of the coupling of uniaxial stabilization channels
accounted for by the aforementioned factors on the stability
of a triaxial forced gyrostabilizer was investigated in [1-5].
For triaxial forced gyrostabilizers with a narrow band
of the uniaxial channels, the destabilizing effect of this coupling
turned out to be insignificant.
However, as has been shown in [5],
for triaxial forced gyrostabilizers with a broad band
of the uniaxial channels, the destabilizing effect can exceed
the stability margins necessary to provide the required
stabilization performance for the uniaxial channels.
In the present paper, we show that the reduction in stability
of the triaxial gyrostabilizer (as compared with the uniaxial one)
with the increase in the bandwidth of the uniaxial channels
is the case also for a system with non-orthogonal arrangement
of the gyros. A simple analytical expression for the
stability reduction ratio of the triaxial gyrostabilizer as compared
with the uniaxial one is obtained for a particular case
of the arrangement of the gyros on the platform. |
References |
1. | A. Yu. Ishlinskii, "On the lower stability of a biaxial
gyroscopic stabilizer in comparison with a uniaxial one,"
Doklady AN SSSR, Vol. 163, No. 6, pp. 1334-1337, 1965. |
2. | I. V. Novozhilov, "On the stability of a triaxial
gyrostabilizer,"
Izv. AN SSSR. Mekhanika, No. 5, pp. 137-140, 1965. |
3. | L. N. Slezkin and Wang Dang Chi,
"On the influence of coupling of the channels of
a gyroscopic platform,"
Izv. Vuzov. Priborostroenie, No. 4, pp. 85-90, 1965. |
4. | I. V. Novozhilov, "On the stability of a forced
triaxial gyrostabilizer,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 4, pp. 59-64, 1968. |
5. | S. A. Chernikov, "Stability of a broad-band triaxial
gyrostabilizer," Vestnik MGTU. Ser. Priborostroenie,
No. 1, pp. 120-128, 2000. |
6. | S. A. Chernikov, Dynamics of Nonlinear Gyroscopic
Systems [in Russian], Mashinostroenie, Moscow, 1981. |
|
Received |
29 June 2000 |
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