Abstract
A method for calculating the modes of strips cold rolling on multiple-stand (reversing) rolling mill is considered providing minimum power consumption with maximum process stabilization at high speeds and obtaining the given quality of cold-rolled strips (minimum probability of surface defects, compliance with thickness tolerances and flatness requirements of the used standards). The problem is solved using the conditional optimization method. As an optimization criterion, it is proposed to use the total energy expenditure spent on the rolling process, as conditions – technological and structural limitations on the rolling parameters and conditions of strips stability to breaks and surface defects formation. The decision to develop this innovative method is due to the fact that a large number of existing approaches to calculation and design of rolling modes have visible advantages and disadvantages. In many cases, the researchers are trying to take into account several requirements that ensure stability of rolling process, its quality, the equipment operating conditions, reduction of energy consumption, metal, auxiliary materials and the specified (maximum) mill productivity. However, some of these requirements can be contradictory and the best one will be the mode that with a high degree of probability guarantees the fulfillment, in a certain proportion, of the entire set of requirements. Therefore, such calculation method is the presented in this article. Calculation of the cold rolling regimes was limited to selection and distribution of the crimping along the cages (passages in the reversing mill). Also, the strip strains are selected in the intercellular spaces, on the decoiler and coiler, and in setting the speed wedge in a particular system of constraints imposed on the input and output process variables as a function of the adopted optimality criterion. As it was noted earlier, the problem was solved with the help of the conditional optimization method with specification of the optimization criterion.
Highlights
A method for calculating the modes of strips cold rolling on multiple-stand rolling mill is considered providing minimum power consumption with maximum process stabilization at high speeds and obtaining the given quality of cold-rolled strips
It is proposed to use the total energy expenditure spent on the rolling process, as conditions – technological and structural limitations on the rolling parameters and conditions of strips stability to breaks and surface defects formation
The decision to develop this innovative method is due to the fact that a large number of existing approaches to calculation and design of rolling modes have visible advantages and disadvantages
Summary
7. Определение границ поддиапазонов изменения относительного обжатия εi для каждой клети стана. 8. Задание числа поддиапазонов mi в диапазонах изменения средних удельных натяжений на i-м участке полосы, расположенном на разматывателе, в межклетевых промежутках и на моталке 9. Расчет шага Δσ j изменения среднего удельного на- тяжения на j-м участке полосы: расположенном на разматывателе, в межклетевых промежутках и на моталке. Расчет числа возможных альтернативных вариантов сочетаний поддиапазонов относительных обжатий и средних удельных натяжений:. Расчет соответствия распределения относительных обжатий по клетям суммарному относительному обжатию Исключение из общего числа возможных вариан тов W вариантов W ′, не соответствующих условию (13):. Где W * – число реализуемых вариантов сочетаний поддиапазонов относительных обжатий εi и средних удельных натяжений σi.
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