Resonances in the problem of the panel flutter in a supersonic gas flow

The paper deals with a linear formulation of the problem of plane vibrations in a supersonic gas flow. Fluctuations of the plane are studied in the case when one of its ends is rigidly fixed, while the second is free. The flow rate is found for which internal resonance eigenfrequencies 1:1, 1:2, 1:3 are implemented. The determination of the speed and the corresponding frequency is reduced to the system of two transcendental equations. The system is numerically studied.