 | | 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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| K. S. Matviichuk, "Engineering stability analysis of controlled elastic flying systems," Mech. Solids. 37 (6), 18-28 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
6 |
Pages |
18-28 |
| Title |
Engineering stability analysis of controlled elastic flying systems |
| Author(s) |
K. S. Matviichuk (Kiev) |
| Abstract |
The paper deals with the engineering stability analysis [1-14]
of dynamic states of elongated rocket-type elastic flying vehicles
during the longitudinal vertical motion. Such flying vehicles
have a shape of thin elongated bodies with variable cross section
and undergo large transverse deformations and vibrations during
the flight. As the dimensions of such systems increase, their relative
rigidity decreases, which makes the influence of various vibrations
(including elastic vibrations) on the flight and flight control
substantial. The interaction of the deformation with angular motions
of the system's body, external aerodynamic forces, and internal
hydrodynamic disturbances due to vibrating liquid in the vehicle
tanks can lead to such undesired phenomena as self-sustained
vibrations or buckling. As a result, the system can fail to
flight along the prescribed trajectory. To resist deviations
from the prescribed angular and other motions, the vehicle
is equipped with a control system. If the control law is chosen
improperly, the control system may excite the motion
of the liquid in the tanks and elastic vibrations. For
the control law considered in the present paper, we have obtained
sufficient conditions for the engineering stability of the dynamical
system under consideration on both finite and infinite time intervals.
For the stability analysis, we investigated a comparison method
based on the optimization of distributed processes combined with
Lyapunov's direct method. The investigations of the present paper
are based on the results of [15-26]. |
| References |
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|
| Received |
13 March 2000 |
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