Thermal model in electron beam welding with various dynamic positioning of the beam

The paper presents the differential equation which is a mathematical model of a whole class of phenomena of thermal conductivity and has an infinite number of solutions. Modelled thermal processes at electron beam welding and the resulting expression is the base for building thermal models that take into account different types of dynamic positioning electronic beam. At electron beam welding the beam oscillations on trajectories of various type are applied, in most cases, to eliminate the characteristic defects taking place when welding by a static beam. The following types of beam oscillations are most widely used: longitudinal, transverse and x-shaped. They are chosen for the construction of thermal models. The calculations showed that the proposed model of the heat source for electron beam welding with a static beam and the obtained on its basis solution of the heat problem, permit to describe the geometry of the weld. The method of Green functions as one of the universal ways to build thermal models in electron beam welding with various dynamic positioning of the beam is implemented. (paper)