Experimental study of the adequacy of mathematical models for calculating the deflection of the hole axis when drilling with a two-blade drill

This article presents the results of a series of experiments on drilling holes with a doubleedged drill. These experiments were conducted to confirm the adequacy of the developed mathematical model for calculating the deviation of the hole axis. The first step in creating the mathematical model was to construct diagrams of the cut sections of the allowances, taking into account the error in the main angles in plan view. This methodology has been used in previous studies of similar hole processing processes, and it is constantly being improved by adding new parameters that were not previously considered. The construction of the cut sections is carried out in the Compass 3D program. The next step was to develop mathematical formulas that take into account the features of hole processing with a measuring end tool, such as errors in the main angle in plan, the amplitude of axial vibrations of the tool, and other factors. Mathematical formulas were derived based on the constructed areas of the cut sections of the allowances. The article presents the main parameters used in the experiments. The article also describes the results of measuring the deviation of the hole axes using high-precision measuring equipment. This study allows for an empirical assessment of the effectiveness of the developed mathematical model and its applicability in practical tasks. The experiments were conducted on identical workpieces. When drilling deeply, i.e., beyond five hole diameters, using drills of different diameters. The analysis of the presented results and the confirmation of the mathematical model's adequacy allow us to draw conclusions about the possibility of using this model to optimize processes and, consequently, improve the quality of production in technical industries.