Аңдатпа
The assumed-modes method is applied to obtain the dynamical model of the ring-stiffened conical shells in a supersonic gas stream. The pressure acting on the shell is described by the piston theory. The displacements of the rings are functions of the shell displacements. The kinetic and the potential energies of the structure are obtained as the functions of the shell displacements. It is suggested the approach to calculate the shell spatial mode, when the shell dynamic stability is lost. The free vibrations of the structures with different numbers of the rings are analyzed. The loss of the structure dynamic stability is investigated.