Abstract

The mathematical method is proposed for determining the forces and bending moments at preliminary cold flattening of the thick steel sheet on the seven-roller sheet-straightening machine. The calculations allow us to determine the support reaction of working rollers, residual stresses in the wall of steel sheet, the proportion of plastic deformation on the sheet thickness and the relative deformation of the longitudinal surface fibers of the sheet under straightening depending on the rollers’ radius. It is also possible to establish the pitch between the straightening machines’ working rollers, the magnitude of sheet reduction by the upper rollers, the sheet thickness, as well as elastic modulus, yield stress and hardening modulus of the sheet metal. The results of the research can be used at metallurgical plants.

Highlights

  • Distribution of linear pressure of thin-sheet rolling across strip width // Journal of Chemical Technology and Metallurgy. 2016

  • The mathematical method is proposed for determining the forces and bending moments at preliminary cold flattening of the thick steel sheet on the seven-roller sheet-straightening machine

  • The results of the research can be used at metallurgical plants

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Summary

При упругом изгибе стального листа изгибающий момент равен

Пусть Mi – изгибающие моменты стального листа в точках касания рабочих роликов с листом: M1 = 0, M2 = M(ρ2 ), M3 = –M(ρ3 ), M4 = M(ρ4 ), M5 = –M(ρ5 ), M6 = M(ρ6 ), M7 = 0. Изгибающие моменты листа в точках касания листа с роликами при E = 2·1011 Па, R = 125 мм, σт = 5·108 Па, h = 10 мм, t = 270 мм, ρ1 = –1 м, H2 = 12 мм, H4 = 6 мм и H6 = 1 мм показаны на рис. 1.

Экстремальные остаточные напряжения составят
Относительная деформация продольных поверхностных волокон листа определится как
Добавки к реакциям сил в точках касания листа с роликами составят
Вертикальная сила давления листа на нижнюю кассету роликов равна
БИБЛИОГРАФИЧЕСКИЙ СПИСОК
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