Dynamic instability of rockets deflectors in flight
Keywords:
parabolic shell, rockets deflectors, assumed-modes method, Mach number, supersonic gas streamAbstract
The parabolic shells are widely used in rockets production and aircrafts construction. These shells are streamed by gas flow. The interaction of the thin-walled structures with gas stream can lead to the self-sustained vibrations with large amplitudes. As follows from the above-presented survey, the dynamics of parabolic shells in gas stream is not analyzed. Such structures are widely used in rocket production and aeronautics. As follows from the experimental analysis of rockets elements in supersonic gas stream, these structures perform self- sustained vibrations with significant amplitudes.
The equations of the parabolic shell motions are obtained using the assumed- modes method. It is obtained the system of the ordinary differential equations described the parabolic shell vibrations in a supersonic flow. The approach for calculation of the shape of the shell self- sustained vibrations origin is suggested. The dynamic instability of the parabolic shells is analyzed numerically. The properties of the shell vibrations are investigated.
The unstable equilibrium of the paraboloic shell in the supersonic gas stream is observed in the following range of the Mach number: 1< М ≤ 1.4142. The critical Mach number is not changed, if the height of the shell is increased from 2m to4 m. This is explained by violent vibrations, which are observed in the shell bottom.
The frequencies of the self- sustained vibrations are significantly larger, then the lower eigenfrequencies of the shell. If the height of the shell is increased, the frequency of the self- sustained vibrations is increased too. Note, that the shell eigenfrequencies are decreased, if the shell height is increased.References
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