Pomiary i modelowanie stereometrii ziaren ściernych

W artykule opisano nowe metody generowania powierzchni ziarna ściernego. Szczegółowo opisano metodę naśladującą naturalne procesy kruszenia ziaren, jako metodę najbardziej zgodną z procesami technologicznymi i łatwą w doborze parametrów stereometrycznych wierzchołków ziaren oraz ich parametrów. Opracowane modele pozwalają opisywać mikrotopografię samego ziarna oraz ukształtowanie jego wierzchołka.

The paper presentss the method of grain stereometry modelling. The grain surface is described by a function whose components determine the grain shape fshape(x,y and its micro-topography (irregularities of the shape) fmtp(x,y). The components of the function are combined in an additive or a multiplicative manner. The models developed have features which enable generation of the grain surface of properties statistically compliant with specified types of grains from different abrasive materials. The models of abrasive grains designed were experimentally verified. Due to the fact that the basic features influencing the nature of the work of the grain are the parameters of the abrasive tool point, a comparative analysis was conducted in order to check the compatibility of the apex angle of the tool point 2e, the radius of the nose radius r of the model grains and the proportion of the height hw of the grain to the width of its base b, in relation to the real grains. The verification process consisted in determining the geometrical parameters of the models of grains generated. The values of the apex angle 2e and of the rounding angle of the vertex r were determined for various penetration depths of the tool point. The verification of the grain shape made it possible to determine the boundary values of the shape coefficients for individual types of grains, owing to which geometrical correctness of the modelled grains was ensured during the simulation process.