Dynamic Problem of Axisymmetric Oscillations of Cylindrical Shells of Variable Thickness Under the Action Non – stationary Load
DOI:
https://doi.org/10.31548/dopovidi6(106).2023.025Keywords:
cylindrical shells, change in thickness, theory of Tymoshenko-type shells, forced oscillations, numerical methods .Abstract
Analyzing the publications in which the dynamic problems of cylindrical shells of non-uniform thickness under the action of various types of loading are considered, a conclusion can be drawn. that there are practically no works devoted to the dynamic behavior of heterogeneous cylindrical shells under non-stationary loads.
In this work, the formulation of the dynamic problem of axisymmetric oscillations of a cylindrical shell of variable thickness under the action of non-stationary loading and the algorithm for solving the given problem are considered. In particular, the resulting system of differential equations is based on the theory of Tymoshenko-type shells, while constructing a numerical algorithm, the integro-interpolation method of constructing finite-difference schemes for spatial coordinates is used using Richardson approximations and an explicit difference scheme for time. An example of calculating the dynamic behavior of a variable thickness under non-stationary loading is considered and an analysis of numerous results is given.
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