 | | 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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| T. V. Grishanina and F. N. Shklyarchuk, "Control of vibrations of elastic structures subject to unsteady excitations," Mech. Solids. 38 (2), 128-136 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
2 |
Pages |
128-136 |
| Title |
Control of vibrations of elastic structures subject to unsteady excitations |
| Author(s) |
T. V. Grishanina (Moscow)
F. N. Shklyarchuk (Moscow) |
| Abstract |
In recent years, considerable interest has been developed in adaptive
elastic structures such as space-based antennas, radio-telescopes
interferometers, and space stations equipped with high-precision
optical and navigation systems [1]. These structures are required
to maintain a prescribed shape with high degree of accuracy or to
provide no vibration at certain locations, for example
at the locations of optical devices. These requirements must be met
for any external disturbances (excitations), which are frequently
uncertain or random. In this case, the designed shape of an elastic
structure and vibration damping can be provided by a control system.
Active (smart) rods with controlled strains [2] can be integrated in the
structure to be utilized as actuators. The length of the active rods
can be adjusted by the control system on the basis of thermoelasticity
or electroelasticity effects or mechanically (by means of hydraulic
cylinders or screw pairs). The change in the length of such rods
or the respective forces can be regarded as the control variable.
Apart from space-based structures, the problem of suppression
of unsteady vibrations is important also for aircraft structures [3],
in particular for loads suspended under wings [4], as well as for isolation of
machine operator's cabins subject to intensive vibrations and shock
disturbances.
In the present paper, a mathematical model is constructed and
solutions are obtained that enable one to determine control variables
(forces or command signals) ensuring that a part of the elastic system
would preserve the designed motion (in particular, a state of rest)
under arbitrary unsteady disturbances. As an example, we have solved
a quasi-static problem of control of a deformed shape of a structure. |
| References |
| 1. | B. K. Wada, "Adaptive structures: an overview,"
Journal of Spacecraft and Rockets, Vol. 27, No. 3,
pp. 330-337, 1990. |
| 2. | F. N. Shklyarchuk and T. V. Grishanina,
Dynamics of Elastic Controlled Structures [in Russian],
Izd-vo MAI, Moscow, 1999. |
| 3. | S. M. Belotserkovskii, Yu. A. Kochetkov,
A. A. Krasovskii, and V. V. Novitskii,
Introduction to Aeroelasticity [in Russian],
Nauka, Moscow, 1980. |
| 4. | P. V. N. Gade and D. J. Inman,
"Active control of store-induced flutter in incompressible
fluid," J. Aircraft, Vol. 35, No. 3, pp. 454-461, 1998. |
|
| Received |
25 September 2002 |
| << Previous article | Volume 38, Issue 2 / 2003 | Next article >> |
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