INFLUENCE OF THE GEOMETRIC PARAMETERS OF ABRASIVE GRAINS OF HONING STICKS ON THE SURFACE MICROGEOMETRY OF MACHINE PARTS

The static theory of honing has not been sufficiently developed, since the process of mass cutting with abrasive grains is random by its nature. This fact complicates the mathematical description of this phenomenon. The research aim was to develop a technique for modeling honing to calculate the process parameters, taking into account the elastic deformations of the abrasive tool. To solve the problems of statistical theory (analyzing the microgeometry of a machine part, metal removal and cutting forces), the studies involved probabilistic analysis and Monte Carlo simulation. Based on the distribution probability of abrasive grains over the cutting layer of the tool and the process kinematics, the law of distribution of the heights of part microroughnesses was determined. Using the distribution law, the authors found the parameters of the surface roughness of the part and the cutting process characteristics: the area of cuts, the number of contact grains, etc. A mathematical relationship has been established between the distribution of abrasive grains along the height and the distribution of the depth of scratches left by the tool on a polished sample. The geometric parameters of the cutting surface of diamond bars were determined taking into account their discrete model. Comparison of the calculated and experimental values of the bar parameters proved the correctness of the proposed methodology. Analytical dependences were obtained in general form for determining the parameters of the surface roughness of the machine part, the metal removal rate, cutting forces, cut areas, the number of contact grains, etc. The developed honing modeling technique helps determine the process parameters taking into account elastic deformations of the abrasive tool. Taking into account the characteristics of the bars, the average profile of the grains and the density of their distribution along the height, we can determine all the parameters of the machine part microgeometry. The results of the conducted probabilistic research are also applicable to other types of abrasive processing.

microgeometry of the machine part surface, profile heights of abrasive grains, distribution of grain tops in height, average profile of grain tops, projected area of the contact surface of a single grain

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