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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">blackmet</journal-id><journal-title-group><journal-title xml:lang="ru">Известия высших учебных заведений. Черная Металлургия</journal-title><trans-title-group xml:lang="en"><trans-title>Izvestiya. Ferrous Metallurgy</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0368-0797</issn><issn pub-type="epub">2410-2091</issn><publisher><publisher-name>National University of Science and Technology "MISIS"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17073/0368-0797-2016-12-870-874</article-id><article-id custom-type="elpub" pub-id-type="custom">blackmet-982</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>МЕТАЛЛУРГИЧЕСКИЕ ТЕХНОЛОГИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>METALLURGICAL TECHNOLOGIES</subject></subj-group></article-categories><title-group><article-title>РАСЧЕТ СИЛ И МОМЕНТОВ СЕМИРОЛИКОВОЙ ПРАВИЛЬНОЙ МАШИНЫ ПРИ ПРЕДВАРИТЕЛЬНОЙ ПРАВКЕ СТАЛЬНОГО ЛИСТА</article-title><trans-title-group xml:lang="en"><trans-title>CALCULATION OF STEEL SHEET’S CURVATURE UNDER PRELIMINARY FLATTENING ON THE SEVEN-ROLLER STRAIGHTENING MACHINE</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шинкин</surname><given-names>В. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Shinkin</surname><given-names>V. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>119049, Россия, Москва, Ленинский пр., 4 </p></bio><bio xml:lang="en"><p>Dr. Sci. (Phys.–Math.), Professor of the Chair of Physics</p></bio><email xlink:type="simple">shinkin-korolev@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный исследовательский технологический университет «МИСиС»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National University of Science and Technology “MISIS” (MISIS)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2016</year></pub-date><pub-date pub-type="epub"><day>13</day><month>01</month><year>2017</year></pub-date><volume>59</volume><issue>12</issue><fpage>870</fpage><lpage>874</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Шинкин В.Н., 2017</copyright-statement><copyright-year>2017</copyright-year><copyright-holder xml:lang="ru">Шинкин В.Н.</copyright-holder><copyright-holder xml:lang="en">Shinkin V.N.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://fermet.misis.ru/jour/article/view/982">https://fermet.misis.ru/jour/article/view/982</self-uri><abstract><p>Предложен математический метод определения сил и моментов при предварительной холодной правке толстого стального листа на семироликовой листоправильной машине. Расчеты позволяют определить реакции опор рабочих роликов, остаточные напряжения в стенке стального листа, долю пластической деформации по толщине листа и относительную деформацию продольных поверхностных волокон листа при правке в зависимости от радиуса рабочих роликов, шага между роликами листоправильной машины, величины обжатия листа верхними роликами, толщины листа, а также модуля Юнга, предела текучести и модуля упрочнения металла листа. Результаты исследований могут быть использованы на металлургических и машиностроительных заводах.</p></abstract><trans-abstract xml:lang="en"><p>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.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>стальной лист</kwd><kwd>многороликовые листоправильные машины</kwd><kwd>упругопластическая среда с линейным упрочнением</kwd></kwd-group><kwd-group xml:lang="en"><kwd>steel sheet</kwd><kwd>sheet-straightening machines</kwd><kwd>curvature of sheet</kwd><kwd>springback coeffi cient</kwd><kwd>elastoplastic continuous medium</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Mazur I.P., Dolmatov A.P., Borisov S.S. Investigation and numerical modeling of the process of cold rolling HSLA steels // Materials Science Forum. 2012. Vol. 704 – 705, pp. 832 – 841.</mixed-citation><mixed-citation xml:lang="en">Mazur I.P., Dolmatov A.P., Borisov S.S. Investigation and numerical modeling of the process of cold rolling HSLA steels. 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