DYNAMIC PROBLEM OF AXISYMMETRIC OSCILLATIONS OF CYLINDRICAL SHELLS OF VARIABLE THICKNESS UNDER THE ACTION NON – STATIONARY LOAD

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.