Mathematical model for producing machine parts

In the article, object of research is development a technology for improving operational properties cast parts from steel 45, obtained by method electroslag remelting. Based on results, modes heat treatment shaft-gear part in an aqueous medium water-oil, to increase service life product, and energy-saving melting remelting were developed. Particular attention paid analytical implementation mathematical model developed technologies methods linear algebra drawing up Lagrange interpolation polynomial. Functional dependencies have been determining amount oxygen melt depending diameter electrode aluminum content this any mold, hardness shaft surface its diameter, (amount) different mold diameters. analytically implemented models investigated technological process, it seems possible simplify experimental studies. other words, based studies, predict results subsequent experiments.