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The research of thermoelastic deformation models with thin elliptic boundary contours plates and accounting uncertainty factors

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, , Citation V E Bolnokin et al 2020 J. Phys.: Conf. Ser. 1679 052023 DOI 10.1088/1742-6596/1679/5/052023

1742-6596/1679/5/052023

Abstract

Consider thin plates with external or internal boundary elliptical contours. It is necessary to take into account the scattering errors of the values of the initial physical, mechanical and geometric parameters based on the use of the heuristic principle of generalization. Known research methods for such systems based on the methodology of accounting for plate deformation under the influence of thermometric factors. Of particular interest is the assessment of the endogenous characteristics of the process using a hybrid technology for accounting for displaying the variability of inputs to these characteristics. Significant relationships of low-variant versions of the model are created for the base component, which is a homogeneous orthorhombic area of nonzero thickness and nonzero area in given coordinates. Axes passing through the middle of the element are defined. Half shafts define an elliptical contour. Stresses in the element are generated by the heat flux, which is symmetric and axial with respect to the coordinate system in the heat flux part.

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10.1088/1742-6596/1679/5/052023