To obtain the desired shape of long panels and sheaths in the aircraft industry, the technology of shot peen forming with subsequent grinding with flap wheels is successfully used. To implement this technology, a special UDF-4 (shot peen forming equipment of the 4th version of modernization) device was designed and manufactured. The last version of this device is equipped with a CNC system and a revolver head with the 4-flap wheels for optimizing the grinding operation. The ability to select the desired flap wheel during the grinding process, depending on the curvature and width of panels or sheaths, has significantly expanded the technological capabilities of this equipment. During grinding with flap wheels of a rectilinear profile, to ensure uniform removal along the cross-section of the part’s curvilinear contour, it is necessary to carry out processing with overlapping previous passages. The need for overlapping passages significantly increases the processing time. At the same time, the calculation of the overlapping width during the changing curvature of the part’s profile is quite a difficult task. This paper presents analytical studies of the use of profiled flap wheels for grinding the part’s surface with a variable radius of transverse curvature, and also proposed the mathematical models for selecting the necessary profiled flap wheels depending on the curvature of the part’s processing surface.