Abstract. This article deals with the problems of numerical study of the thermomechanical state of rods. On the basis of the fundamental law on the change in the amount of heat, an equation of the established thermal conductivity for a horizontal rod of limited length and a constant cross section is constructed through a fixed cross-section in a time ∂τ. In this case, different temperatures are set at the two ends of the investigated rod, and heat exchange with the surrounding medium takes place through the lateral surface. In addition, the investigated rod is made of thermal protective material ANV-300. The determining law of the distribution of temperature, of all the corresponding deformations and stresses, and also of the displacement along the length of the investigated rod. The values of the thermal elongation and the resulting axial force are calculated.
In a complex thermal zone, bearing components of reactive and hydrogen engines, nuclear and thermal power stations, processing lines of processing industries, as well as internal combustion engines operate. The reliable operation of these structures will depend on the conditions of the thermoelectric power of the bearing components. Therefore, this study is devoted to a numerical study of the state of the thermoelectric power of the structural components in the form of rods of limited length, bounded at both ends. The proposed computational algorithm is based on the principle of energy conservation. In this case, all types of integrals in the functional energy formulas are integrated analytically. In this case, the numerical solutions obtained will have high accuracy.

Keywords: the temperature, the rod, the thermal energy, the algorithm.