Scientific Reports of the National University of Life and Environmental Sciences of Ukraine

Numerical solution of the dynamic problem of axisymmetric vibrations of reinforced shells

N. Arnauta, S. Savchuk, E. Dibrivna
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Abstract

The article investigates the dynamic behavior of discretely reinforced ribbed shells of revolution under non-stationary loads. To obtain a numerical solution, the finite difference method is used. The correctness of the formulation of the problems is achieved by using the well-known equations of the theory of shells and rods of the Tymoshenko type, which are approximations of the original equations of the threedimensional theory of elasticity. Numerical algorithms for approximate solutions of the original equations are based on the use of the integro-interpolation method of constructing difference schemes. When constructing difference diagrams, kinematic quantities refer to difference points with integer indices, and the values of deformations and forces–moments refer to difference points with half-integer indices

Keywords

shells of revolution, non-stationary loads, numerical methods

Suggested citation
Arnauta, N., Savchuk, S., & Dibrivna, E. (2022). Numerical solution of the dynamic problem of axisymmetric vibrations of reinforced shells. Scientific Reports of the National University of Life and Environmental Sciences of Ukraine, 18(6). https://doi.org/10.31548/dopovidi2022.06.011
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