Abstract
The work is devoted to the problem of calculating the surface roughness during magnetic abrasive processing. Cutting grains have random dimensional characteristics, are randomly located on the surface of the tool, the workpiece has an irregular profile. The cutting parts of the grains partially remove the chips and partially elastoplastically deform the metal. Some of the vertices fall into the marks on the surface of the workpiece formed by the previous processing, and some - on the marks from the passage of the previous vertices. This process is determined by the probability of contact of the top of the grain with the metal. The developed probabilistic-theoretical model makes it possible to predict the removal of metal from the treated surface depending on the time and parameters of the operation, which creates the prerequisites for their use in the design of polishing operations.
Highlights
During magnetic-abrasive processing, grains, compacted by a magnetic field, interact with the treated surface, forming its profile
To predict the roughness obtained during magnetic abrasive machining, it is necessary to take into account the interaction of these stochastic parameters and deterministic parameters and their influence on the microcutting process, which forms the profile of the machined surface [1,2,3,4]
The analytical approach to constructing stochastic models can significantly reduce the time for predicting the quality indicators of magnetic abrasive machining, providing the necessary accuracy of calculations
Summary
During magnetic-abrasive processing, grains, compacted by a magnetic field, interact with the treated surface, forming its profile. Due to the stochastic nature of the interaction, the resulting profile is random The characteristics of this profile and the roughness parameters obtained as a result of processing are determined by the distribution of grain sizes, cutting tops on them, the location of these tops over the surface of the workpiece, the original profile of the workpiece, and the force factor of interaction. To predict the roughness obtained during magnetic abrasive machining, it is necessary to take into account the interaction of these stochastic parameters and deterministic parameters and their influence on the microcutting process, which forms the profile of the machined surface [1,2,3,4]. With regard to magnetic abrasive machining, the input parameters of the technological system are:
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