Influence of non-homogeneity parameters on the stress state of long non-thin cylindrical elliptical shells
DOI:
https://doi.org/10.32347/2410-2547.2026.116.406-413Keywords:
long non-thin cylindrical shells, discrete Fourier series, elliptical cross-section, linear theory of elasticity, stressed state, continuously non-homogeneous materialAbstract
Cylindrical shells of circular and non-circular cross-section are used as structural elements in many industries, as well as computational models in the study of the properties of newly created materials that can increase the operational capabilities of these structural elements.
This research investigates long non-thin cylindrical elliptical shells made of a continuously non-homogeneous material, the elastic properties of which vary along the thickness. The shells are under the action of internal pressure under conditions of hinged fastening of the ends.
The subject of research is the stressed state of the shells and, as a result, the establishment of dependencies between its characteristics and the parameters of the law of change of the moduluselasticity of the material.
The purpose of the work is to conduct a numerical analysis of the stressed state of shells of this class depending on the law of change of the elastic properties of the material. The problem is solved using a spatial model of the linear theory of elasticity based on the method of approximation of functions by discrete Fourier series. In this case, an analytical method of separation of variables in two coordinate directions is used, with parallel use of approximation of functions by discrete Fourier series and a stable numerical method of discrete orthogonalization.
The stress state of the considered shells is analyzed depending on two parameters of the law of change of elastic properties of the material along the thickness.
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