A 3D TEMPERATURE FIELD RECALCULATION METHOD FOR STRENGTH ANALYSIS PROBLEMS
V. I. Romanov, E. E. Maslov, C. Yu. Gulakov VANT. Ser.: Mat. Mod. Fiz. Proc. 2022. Вып.1. С. 4047.
During the strength analysis there is a common need in considering nonuniform temperature fields, where the deformation process runs. The goal of this paper is to describe a method for transmitting data on the space distribution of temperatures to the computational strength model of a structure. The procedure of interpolating temperatures to nodes of a finiteelement grid was implemented in Python programming language to solve strength problems using known temperature values at points of an ordered set, which are, for example, nodes, or centers of grid cells for the temperature problem solution. The procedure is based on solving the problem of finding several nearest neighbors. For the effective process, data on interpolation pointsnodes is represented by an octotree. An unknown temperature value at an arbitrary point of space is restored using the already known values at neighboring points with the spatial linear interpolation based on the least square method. Results of testing the method for a model problem are given. A high accuracy of interpolation is demonstrated. The method described in the paper is successfully used by the authors to take into account the thermal state of shipping package sets for the nuclear fuel transportation and storage, when justifying their safety. Directions for the further development of the method are lined out. Keywords: a set of points, the problem of finding a nearest neighbor, octotree interpolation, the least square method.
