“…2) developed one-dimensional physical and mathematical models of cylindrical bending, clearly illustrated with characteristic numerical examples of a circular shell (K) and elliptical (E) outlines (Abdeev et al, 2011) (Fig. 2); 3) in the process of the performed calculations, it was proved that the considered elastic element with a thickness of 6.5 mm and a radius of 600 mm was deformed within the Hooke's law at stresses of not more than 86.9% of the yield strength т = 2270 MPa ( 2 ) steel grade 60C2XA (Abdeev et al, 2011) and theoretical safety factors у (к) = 5,8 and у ( ) =2,62 were much higher than the minimum acceptable value [ у ]=1,5 (Doudkin et al, 2019); 4) it was found that to prevent the occurrence of residual deformations, local dents and clicking (Kolkunov, 1972) of the shell, it is necessary to use only high-quality springspring steel with high т ≥1800 MPa ( 2 ) to make it, which is of great importance in this particular case -with high requirements for fatigue strength (Abdeev et al, 2011) and local resistance, corrosion and thermal resistance; in this regard, it is possible to recommend, for example, alloys on a cobalt-chromium-nickel base of the grades 40КХНМ, 40КХНМВТU (GOST 10994-74) with т = 1800 ÷ 2500 MPa ( 2 ) and also some other special structural elastically deformable steels (60C2FA, 60C2XFA, 60C2XA, 65C2BA, etc. ); 5) the results of mathematical modeling and FEM analysis make it possible to optimize the physical and geometric characteristics of the flexible shell during its design, thereby ensuring reliable operation of the roller with an adjustable outline of the working surface of the drum, economical consumption of expensive spring-spring steel and high-quality compaction of the road surface.…”