Shot peening is widely used in forming long panels and sheaths. Due to impact by shot on the processed surface, a specific microgeometry is formed, the characteristic feature of this microgeometry are the numerous dimples as the traces of shot impact with different diameters and depths. A presence of these dimples causes deterioration of the surface roughness parameters. Therefore, after shot peening the mandatory requirement is the implementation of surface grinding with flap wheels for

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... removal of the dimples. The size of the assigned allowance for grinding depends on the quality requirements of the part surface. At the same time, the depths of the remaining dimples are determined by the part surface roughness requirements. After grinding, the new surface microgeometry is formed, as a combination of microroughness from previous types of processing and the remained dimples in result of shot peening. In this work the microgeometry formation of surface layer of the samples after shot peen forming and subsequent grinding with flap wheels was analysed. The parameters of surface roughness were measured by the method of three-dimensional optical scanning. In the measurement result, the mathematical model of the surface micro-profile formation was formulated, the analytical dependences of the position of the center plane and the arithmetic mean deviation of profile were obtained. The surface after shot peening forming (SPF) is subject to mandatory subsequent grinding in order to partially remove the shot traces and to ensure the specified parameters of surface quality [1] [2] [3] [4] . An operation, preceding shot peening treatment, as a rule, is machining (usually milling). As a result, on a micro-relief of the surface formed by a previous operation, the traces of shot impact are applied, and a new profile of micro-roughness is formed on this surface. The dimples as the traces of shot on the new micro-relief have different diameters and depths, which significantly exceed a level of micro-roughness from previous machining. At the same time, a distribution of these dimples on the treated surface is chaotic (random) [5, 6] . An actual combination of micro-relief of these operations lets to form a new micro-relief of the part surface. When grinding a surface with flap wheels, the value of allowance, according to [1] , is determined by the average height of the micro-roughness profile (1):