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From a physical point of view, the technology of laser fusion of a powder composition is a rather complicated process with a large number of technological factors of influence. Therefore, in this paper, the method of planning an experiment was used, which gives an opportunity to obtain more reliable results of experimental research in comparison with other methods of research. The analysis of a priori information [1, 2] showed the presence of a large number of technological factors with varying degrees of statistical significance for each of them on the process of laser fusion of powder composition. Among the main technological factors, the most significant influence on the process of laser alloying of the powder composition is the mass flow rate of the powder, the geometric configuration of the powder delivery composition to the laser treatment zone, the rate of displacement of the substrate. One of the main factors influencing the performance and quality of the alloying of the powder composition is the geometric configuration of the powder composition delivery means into the zone of focused laser radiation (nozzles of various structures).

To study the performance of the laser fusion process of the PGRS-3 powder composition, the symmetric quasi-D-optimal plan of Pisochinsky for 3 technological factors was chosen which has good statistical characteristics and is implemented by the second order regression equation.

As a function of the response, the process of laser melting of the powder composition was used. As technological factors influencing the productivity of the process of laser powder melting, the mass flow rate of the powder, the velocity of the substrate, the geometry of the angles forming the nozzle were used. The coefficients of the regression equation of the model were calculated with the help of specialized software using the mathematical apparatus of linear algebra. Levels of variation of technological factors have been determined experimentally.

Conclusions:

1. A mathematical model of the process of laser melting of the powder composition of PGRS-3, which can be used as a calculation of controlled effects aimed at increasing the productivity of the process of laser melting of the powder, is obtained.

2. The adequacy of theoretical calculations and the possibility of using mathematical models of the process of laser melting of powder material during the implementation of the technology of rapid manufacturing of products has been confirmed.