Abstract
The round plate elements are widely used in engineering and power plants, as well as in the oil, chemical and construction industries. When the temperature changes due to technogenic and natural factors, they are deformed and there are temperature stresses, which are often the cause of their destruction. The magnitude of deformations and stresses depends on the magnitude and temperature gradient, as well as the physical and mechanical characteristics of the metal and the conditions of fixing the structural elements. It is shown that the greatest temperature stresses occur on the side surface of a cylindrical construction. The non-stationary temperature field in the round lamellar elements of engineering constructions, which changes with time, is investigated. Modeling the process of heating the round plates, the boundary conditions of the second kind are taken into account. Using the Laplace transformation, we obtained analytical expressions to study the temperature field and temperature deformations. The stress-strain state of round lamellar constructions with clamped edges due to a non-stationary temperature field is determined.This article proposes the methodology of research of a non-stationary stress-strain state in a cylindrical plate at heating on a side surface. The obtained results allow estimating the stress state at each point of the construction depending on the radius and physical and mechanical characteristics of the material from which the construction is made. The researches have shown that the temperature stresses that occur in plate constructions vary depending on the radius and time. The analysis of graphical researches shows that the destruction of the tank can occur by achieving a critical value of tangential stresses. The sharpest change of the tangential and radial stresses occurs at the initial moment of temperature action.
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