The distribution of the temperature field of elements of threedimensional structures is examined in the article and the influence of nonhomogeneities on the temperature field in three-dimensional axisymmetric structures is studied.Based on the variational formulation of the problem, a finite element model for solving axisymmetric problems of heat distribution in three-dimensional bodies was built based on the finite element method; a computational algorithm of the solution and the software were implemented.Shape functions corresponding to linear triangular elements are used in the finite element solution to the problem.They ensure its continuity at the boundary with neighboring elements since this distribution is linear along any side of the triangle and with the same change in value at the nodes, the same changes will occur along the entire inner boundary.A discrete finite element mesh model is a set of parameters that consist of the total number of finite elements and mesh nodes, arrays of their node coordinates, and node numbers of finite elements.To verify the reliability of the results obtained, a computational experiment was conducted, related to the study of the effect of the increase in the number of finite elements on the convergence of solutions.Analysis of the experimental results confirms the numerical convergence of temperature values as the finite element mesh is refined.At the initial stage of the study, the influence of temperature distribution for homogeneous structural elements was studied.
| Jurnal | ТАТУ хабарлари |
|---|---|
| Nashr sanasi | 2025-04-11 |
| DOI | 10.61663/251tuitmct2 |
DOI: 10.61663/251tuitmct2 · Maqolaning asl sahifasi
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