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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...
The Rayleigh–Ritz method is used to minimize the energy functional in order to calculate eigenfrequencies of parabolic shells. The properties of eigenfrequencies and eigenmodes of different heights parabolic shells are analyzed numerically.
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