Динамическая неустойчивость пологих оболочек при их взаимодействии с трехмерным потенциальным течением газа

A system of hypersingular integral equations for the aerodynamic derivatives of the pressure change is derived in order to analyze the interaction between vibrating shallow shells and three-dimensional subsonic gas flow. This system is convenient for solving the aeroelasticity problems. The system of the hypersingular integral equations is solved numerically by making use of the discrete vortex method. The system of the ordinary differential equations is obtained to model the vibrations of a shallow shell by means of the assumed-mode method. The dynamic instability of a shallow shell in the subsonic gas flow is studied numerically.