Dynamics of Three-Layer Spherical Shells with Heterogeneous Filler Under Nonstationary Loads

The dynamics of a three-layer spherical shell with a discrete-symmetric lightweight, rib-reinforced aggregate under nonstationary loads were studied. In analyzing the elements of the elastic structure, the model of the theory of shells and rods by Tymoshenko under independent static and kinematic hypotheses for each layer was used. The equation of motion of a three-layer spherical shell with a discrete-symmetric light, rib-reinforced filler is obtained according to the Hamilton–Ostrogradsky variational principle. Numerical results illustrating the nature of vibrations of a three-layer elastic structure are obtained by the finite-element method. The effect of the geometrical and physical–mechanical parameters of the symmetric layers of the shell on its dynamic behavior under axisymmetric internal impulse loading was investigated.