The paper investigates the impact of aerodynamic pressure for the elasto-acoustic oscillations of cylindrical shells which are in contact with the insulating layer, streamlined a supersonic flow of gas and located in the field of random external forces. Additional aerodynamic pressure measured at the piston theory. There are obtained relations for the spectral densities and dispersion of movement of points of the middle surface of the shell, the dispersion pressure of the acoustic environment.
$^1$National Research University "Moscow Power Engineering Institute"
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