## 3 Results
### Results of Experimental Studies
The graphs presented in Figure 17 show that the surface roughness Ra after burnishing treatment is affected by both the feed rate f and the burnishing force F. Figure 17b shows the special effect of the feed rate on the quality of the surface obtained. For small feed values, the surface obtained was characterized by the lowest value of the Ra coefficient. As the feed rate increased, the roughness also increased. Increasing the clamping force of the diamond burnishing tool in the case of 41 Cr4 steel had a negative effect on the surface quality. In general, an increase in the clamping force resulted in an increase in the roughness coefficient Ra. Its lowest value was recorded for the lowest burnishing force. Experimental research shows that the diamond sliding burnishing process is a very complex process. The technological quality of the product depends on many parameters related both to the condition of the semi-finished product and the conditions of the burnishing process. An incorrect selection of these leads to obtaining a product with defects, e.g., visible grooves in the material due to an incorrectly selected value of the burnishing force, etc. The most important parameters determining the quality of the surface, characterized by the Ra parameter include the tool geometry, the feed rate and the burnishing force. The oil mist lubrication used is also an important factor. Figure 17: Influence of force F and feed f on surface roughness Ra after diamond sliding burnishing (**a**); effect of feed on surface roughness Ra for F = 8 [N] (**b**). In order to better compare the surface roughness from the experimental tests with the simulation tests, the points from the simulation in the ANSYS program were read and implemented in the Matlab program. The roughness profile generated from the ANSYS program is shown in Figures 19 and 20. The comparison of the results of numerical analyses with the results of measurements shows that the differences at the adopted significance level of \(\alpha=0.05\) are not significant. Therefore, both the process model and computer applications in the ANSYS/LS-Dyna system are developed correctly. The comparison of the results of numerical analyses with the results of measurements shows that the differences at the adopted significance level of \(\alpha=0.05\) are not significant. Therefore, it can be concluded that it is possible to predict the quality of diamond sliding burnished products with an accuracy sufficient for engineering practice on the basis of computer simulation results. The results of experimental research showed the usefulness of the developed mathematical models and algorithms for numerical calculations of the burnishing process. Numerical algorithms implemented in the ANSYS system can be used to assess the impact of burnishing technological conditions on product quality. They allow for a better understanding of the phenomena occurring in the contact and deformation zones and, therefore, they may constitute the basis for developing guidelines for the selection of burnishing conditions, due to the required technological quality of the product. Figure 20: Surface roughness profile after diamond sliding burnishing obtained in the ANSYS program for \(\bar{\mathrm{f}}=0.04\)\(\left[\mathrm{mm\cdot rev^{-1}}\right]\) and \(\bar{\mathrm{F}}=15\)\(\left[\mathrm{N}\right]\).