Research of the influence of defects on the dynamic behavior of layered spherical shell structures
DOI:
https://doi.org/10.32347/2410-2547.2026.116.193-206Keywords:
dynamic behavior, three-layer spherical shell, structural defect, inhomogeneous filler, circular gap, boundary conditions, finite element methodAbstract
The linear transient dynamic processes of three-layer spherical shell structures with discrete-symmetric rib-reinforced filler in the presence of annular discontinuities in the reinforcing ribs of these structures were studied. Numerical calculations of normal deformations and von Mises stresses of the bearing layers of spherical structures, determining their stress-strain state, were performed using the finite element method.
The equation of motion of a three-layer spherical shell with a discrete-inhomogeneous filler was obtained. The stress-strain state of three-layer spherical structures under the action of an axisymmetric internal impulse load was studied. The results of the values of the first five natural frequencies of the considered structures are presented.
The studies made it possible to determine the significance of the influence of defects in the form of annular discontinuities on the characteristics of the stress-strain state of three-layer spherical shells in the presence and absence of an interlayer filler under different boundary conditions.
The influence of structural defects on the characteristics of the stress-strain state of three-layer hemispherical shells with a discretely symmetric lightweight, rib-reinforced filler under internal impulse loading under various boundary conditions was analyzed. Circular breaks in the reinforcing ribs of the structures were modeled as defects. To analyze the elements of the elastic structure, the model of the theory of shells and rods of Tymoshenko was used under independent static and kinematic hypotheses for each layer. The equation of motion was obtained using the Hamilton-Ostrogradsky variational principle. A corresponding finite element model of the hemispherical structure was created, which reflects the relationship between the potential energy of deformations in the shell and the potential of applied forces.
The results of calculations of normal deformations and von Mises stresses in the load-bearing layers, obtained by the finite element method, for shells with defects under various boundary conditions are compared with the corresponding values for three-layer hemispherical shells in a defect-free state. The conducted studies of three-layer hemispherical shells show that circular discontinuities in the reinforcing ribs of the structure change the values and distribution of the characteristics of the stress-strain state, but have a negligible effect on the change in the values of the natural frequencies of the structure.
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