INVESTIGATION AND MATHEMATICAL MODELLING OF DEFECTS IN BARREL CHANNELS: DIAMETER WEAR, FIELD ABRASION AND THE EDGES OF THE CUTS, THE FIELD CUT

The peculiarities of the shape of defects in the barrel channels and mathematical modelling of the surfaces of damaged areas are considered. Methods for describing the characteristic forms of defects in barrel channels, namely: diametric wear of a smooth barrel channel, as well as a pitting of the flank, abrasion of the flank and cutting edges of a rifled barrel channel, are proposed. The mathematical expressions in the form of algebraic equations were obtained, which give a formalised description of the surface areas formed in the barrel channel as a result of the occurrence of these defects. A study of the similarity of mathematical models to their physical prototypes was carried out on the basis of graphical reproduction of the surfaces of the specified defects of the barrel channel in accordance with their equations using specialised software.