Optimization of technological parameters for electrodeposition of wear-resistant composite coatings using the method of mathematical experiment design

   Purpose. Determination of the optimal unit operating parameters and molybdenum content in the coating. To achieve optimal performance and proper physico-mechanical properties, it was necessary to conduct a full factorial experiment.

   Methods. The chosen factors were: asymmetry coefficient, cathode current density within the range of 20–60 A/dm², and Molybdenum disulfide concentration within the range of 0.2–3.4 kg/m³. The resulting function chosen was microhardness. Since preliminary research indicated that the response functions should be nonlinear, the factors had three variation levels. An orthogonal central composite second-order design was used to find the polynomial coefficients. The significance of the regression coefficients was checked using Student's t-test, and the adequacy of the obtained equations was verified using Fisher's F-test.

   Results. As a result of the conducted experiments and statistical data processing, a regression equation in coded form was obtained, linking the coating's microhardness with the studied parameters. Analysis of the coefficient significance showed that the MoS₂ concentration has the greatest influence on microhardness. The interaction effects of the factors were also statistically significant. The calculated value of Fisher's criterion was F = 3.87, which is lower than the tabulated value (Ftab = 19.4) at a 95 % significance level. Consequently, the obtained regression equation adequately describes the electrodeposition process within the studied region.

   Conclusion. The method of mathematical experiment planning was successfully applied to optimize the process of electrodeposition of coatings alloyed with Molybdenum disulfide. An adequate second-order regression equation was obtained, linking the coating's microhardness with the asymmetry coefficient, cathode current density, and MoS₂ concentration. The results of the work allow for recommending optimal coating application regimes for their use in conditions of increased wear and corrosion.

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