Abstract
The dynamic instability of the parabolic shells in a supersonic gas flow is analyzed numerically. Such structures describe a rocket fairing. Finite degrees of freedom dynamical system is obtained by the assumed-modes method to describe the shell motions. The numerical approach for calculations the modes of the shell self-sustained vibrations is suggested. The Mach numbers range of the shell dynamic instability is analyzed numerically. The influence of the paraboloid height on the regions of the dynamic instability is analyzed. The frequencies of the self-sustained vibrations are investigated. The effect of the shell boundary conditions on the regions of the dynamic instability is analyzed.
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