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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">10.17073/0368-0797-2017-4-285-291</article-id><article-id custom-type="elpub" pub-id-type="custom">blackmet-1070</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>ЭКОЛОГИЯ И РАЦИОНАЛЬНОЕ ПРИРОДОПОЛЬЗОВАНИЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ECOLOGY AND RATIONAL USE OF NATURAL RESOURCES</subject></subj-group></article-categories><title-group><article-title>РАСЧЕТ ПАРАМЕТРОВ ЛИСТОГИБОЧНЫХ НЕСИММЕТРИЧНЫХ ТРЕХВАЛКОВЫХ ВАЛЬЦОВ ПРИ ПРОИЗВОДСТВЕ СТАЛЬНЫХ ТРУБ</article-title><trans-title-group xml:lang="en"><trans-title>CALCULATION OF PARAMETERS OF THE ASYMMETRICAL THREE-ROLLER SHEET-BENDING ROLLS IN STEEL PIPES PRODUCTION</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>д.ф.-м.н., профессор кафедры физики</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), Moscow</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2017</year></pub-date><pub-date pub-type="epub"><day>27</day><month>05</month><year>2017</year></pub-date><volume>60</volume><issue>4</issue><fpage>285</fpage><lpage>291</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/1070">https://fermet.misis.ru/jour/article/view/1070</self-uri><abstract><p>Для получения изделий различной конфигурации из металлического листа используют множество приспособлений. Одно из них – листогибочные вальцы, которые можно классифицировать по нескольким признакам: по количеству валков (двух-, трех-, четырехвалковые); по типу привода (механические, пневматические, электромеханические, гидравлические); по взаимному расположению валков (симметричные, несимметричные/асимметричные). Вальцы листогибочные трехвалковые применяются для производства изделий цилиндрической, овальной и конической формы путем гибки листового металла, с их помощью изготавливают трубы, желоба, элементы воздуховодов, обечайки, бочки, всевозможные кожухи. Принцип работы листогибочных трехвалковых вальцов основан на противоположно направленном вращении валков, благодаря которому происходит захват листового материала и его гибка по заданному радиусу. Для облегчения подачи листов и выемки изделий, согнутых в замкнутую окружность, листогибочные трехвалковые вальцы комплектуются съемным и регулируемым по прижиму передним валом. В трехвалковых вальцах диаметр верхнего валка примерно в 1,5 раза больше диаметра нижних валков. В процессе формовки валки совершают реверсивное движение, при этом верхний валок может подниматься и опускаться для регулировки диаметра формуемой заготовки. При этом способе формовки крайние небольшие участки листа остаются плоскими. Этот недостаток устраняется подгибкой концов на прессе или на валковом стане. В настоящей работе предложен математический метод определения сил и моментов при холодной гибке толстого стального листа на листогибочных трехвалковых вальцах. Расчеты позволяют определить реакции опор валков, остаточные напряжения в стенке стального листа, долю пластической деформации по толщине листа и относительную деформацию продольных поверхностных волокон листа при гибке в зависимости от радиуса валков, шага между валками, величины обжатия листа верхним валком, толщины листа, а также модуля Юнга, предела текучести и модуля упрочнения стали листа. Результаты исследований могут быть использованы на металлургических и машиностроительных заводах при производстве стальных труб большого диаметра для магистральных трубопроводов.</p><p> </p></abstract><trans-abstract xml:lang="en"><p>To produce articles of various confi guration from the metal sheet, a variety of devices are used. One of them is the sheet-bending rolls, which can be classifi ed according to several characteristics: number of rollers (two-, three- and four-rollers), type of the drive (mechanical, pneumatic, electromechanical and hydraulic) and by mutual arrangement of the rollers (symmetrical and asymmetrical). The three-roller sheet-bending rolls are used for the manufacturing of cylindrical, oval and conical shapes by bending of sheet’s metal. Using them, we produce pipes, gutters, air condition lines, shells, barrels and all kinds of covers. The working principle of the threeroller sheet-bending rolls is based on the oppositely directed rotation of the rollers, whereby the grip of the sheet material and bending by a given radius are taken place. To facilitate the sheet feeding and the extraction of products, bent into a closed circle, the three-roller sheet-bending rolls are equipped with the removable and adjustable to clamp front shaft. In the three-roller mill the upper roller’s diameter is about 1.5 times larger than the lower rollers’ diameter. In the process of forming, the rollers are making the reverse movement during which the upper roller may be raised and lowered to adjust the diameter of the moldable workpiece. In this shaping method the extreme small parts of the sheet remain fl at. This defect is eliminated by the bending of billet’s ends at the press or at the rolling mill. In this paper the mathematical method for determining the forces and bending moments at the cold bending of thick steel sheet on the three-roller sheet-bending rolls is proposed. The calculations allow us to determine the support reaction of rollers, residual stresses in the wall of the steel sheet, the proportion of plastic deformation on the sheet thickness and relative deformation of the longitudinal surface fi bers of the sheet under bending depending on the rollers’ radius, pitches bet ween the rollers, magnitude of the sheet reduction by the upper roller, the sheet thickness, as well as the elastic modulus, the yield stress and the hardening modulus of sheet’s steel. The research results can be used at the metallurgical and machine works in production of steel largediameter pipes for main pipelines.</p><p> </p></trans-abstract><kwd-group xml:lang="ru"><kwd>стальной лист</kwd><kwd>вальцы листогибочные трехвалковые</kwd><kwd>кривизна поверхности листа</kwd><kwd>коэффициент пружинения</kwd><kwd>упругопластическая среда с линейным упрочнением</kwd></kwd-group><kwd-group xml:lang="en"><kwd>steel sheet</kwd><kwd>three-roller sheet-bending rolls</kwd><kwd>curvature of sheet’s surface</kwd><kwd>springback coefficient</kwd><kwd>elastoplastic continuous medium with linear hardening</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">Banabic D. (Ed.). Multiscale modeling in sheet metal forming. – Heidelberg: Springer, 2016. – 405 p.</mixed-citation><mixed-citation xml:lang="en">Multiscale modeling in sheet metal forming. Banabic D. ed. 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