Method of calculating the dimensions of greenhouse-type single slope watermaker by taking into account the accumulation of solar energy parnik tipidagi bir nishabli suv chuchutgichi o

Introduction

Today, the theory of thermoelasticity is rapidly developing in connection with the important problems arising in the development of new designs of steam and gas turbines, jet and rocket engines, high-speed aircraft and nuclear reactors. These structures and their elements operate under conditions of uneven heating, in which the mechanical properties of materials change, accompanied by unequal thermal expansion of parts of the elements.
Uneven thermal expansion causes thermal stresses. The study of knowledge of the magnitude and nature of the action of thermal stresses is necessary for the analysis of the strength of structures and their elements. Thermal stresses or a combination of thermal and mechanical stresses can cause different cracks and even destruction of structures made of different materials. Some materials, when a sharply unsteady temperature field occurs, become brittle and cannot withstand thermal shock. In some cases, repeated action of thermal stresses leads to thermal fatigue and destruction of structures and their elements. Thermal stresses can cause significant plastic deformation, which can lead to complete or progressive structural failure.
The main numerical methods for solving thermoelastic problems are the finite element method and variational-difference methods. Recently, the boundary element method has been widely used. The works of B.E.Pobedrya, I.G.Belukhina, A.A. Samarsky, E.S.Nikolaev and others are devoted to the study of the variational-difference method and iterative processes for solving difference equations. Many works are devoted to the issues of mathematical modeling and numerical methods for solving problems of the theory of thermoelasticity of deformable solids [4-9].
The Lame problem on the equilibrium of an elastic parallelepiped has been repeatedly solved by various authors and is a convenient test example for evaluating new theories and methods of solutions. In [1], the problem of a thermoelastic parallelepiped was solved by the variationaldifference method. In this case, it is assumed that the surface of the parallelepiped is free from loads and within which a temperature field is given.