Critical states of thin ellipsoidal shells in simple and compound rotations

The similarity of modes of static buckling of spinning elastic ellipsoid shells and their elastic resonant precession vibrations in compound rotation is investigated by theoretical simulation through the use of immovable, slewing and rotating reference frames. It is established that the elongated shells lose their equilibrium stability more readily in simple rotation, while the flattened ones are more easily involved in resonant regimes of vibrations in compound rotations. borate approach may be used for numerical simulation of the critical states of thin-walled elastic rotors of engines of aircrafts during their translational motions and attitude manoeuvres.