Dynamics of Spherical Sandwich Shells with Discrete-Symmetrical Light Core Reinforced with Ribs Under Nonstationary Loads

The dynamics of spherical sandwich shells with a discretely symmetric light core reinforced with ribs under nonstationary loads is studied. To analyze the shell members of the elastic structure, the Tymoshenko theory of shells and rods and independent static and kinematic hypotheses for each layer are used. The equation of motion of spherical sandwich shells with a discrete-symmetric light core reinforced with ribs under axisymmetric impulsive loading is derived using the Hamilton–Ostrogradsky variational principle. Numerical results of on the vibrations of the elastic sandwich are obtained by the finite-element method. The effect of the geometrical, physical, and mechanical parameters of the symmetric layers of the shell on its dynamic behavior under axisymmetric internal impulsive loading is analyzed, and new mechanical effects are discovered.