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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">10.17073/0368-0797-2025-1-14-20</article-id><article-id custom-type="elpub" pub-id-type="custom">blackmet-2835</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>Исследование модуля жесткости клетей чистовой группы непрерывного широкополосного стана горячей прокатки</article-title><trans-title-group xml:lang="en"><trans-title>Stiffness modulus of stands in finishing group of continuous wide-strip hot rolling mill</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0000-5974-5718</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Поспелов</surname><given-names>И. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Pospelov</surname><given-names>I. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Иван Дмитриевич Поспелов, к.т.н., доцент</p><p>Россия, 162600, Вологодская обл., Череповец, пр. Луначарского, 5</p></bio><bio xml:lang="en"><p>Ivan D. Pospelov, Cand. Sci. (Eng.), Assist. Prof.</p><p>5 Lunacharskogo Ave., Cherepovets, Vologda Region 162600, Russian Federation</p></bio><email xlink:type="simple">idpospelov@chsu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Череповецкий государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Cherepovets State University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>22</day><month>02</month><year>2025</year></pub-date><volume>68</volume><issue>1</issue><fpage>14</fpage><lpage>20</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Поспелов И.Д., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Поспелов И.Д.</copyright-holder><copyright-holder xml:lang="en">Pospelov I.D.</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/2835">https://fermet.misis.ru/jour/article/view/2835</self-uri><abstract><p>Модуль жесткости является важным техническим параметром каждой клети «кварто» непрерывного широкополосного стана горячей прокатки и характеризует величину усилия прокатки, вызывающую упругую деформацию всех конструктивных элементов рабочей клети в сборе. От достоверности определения такого параметра на этапе проектирования эффективных технологических режимов прокатки напрямую зависит точность отклонений продольного и поперечного профиля горячекатаных полос и качество листового проката. При обзоре классических методов расчета упругих деформаций рабочих четырехвалковых клетей, основанных на законах теории упругости, и современных публикаций сделан вывод, что необходимо учитывать динамическую составляющую при определении модуля жесткости рабочих клетей станов горячей и холодной прокатки. Отсутствие учета вышеуказанной составляющей влечет за собой существенные ошибки в выставлении межвалковых зазоров на этапе настройки стана под прокатку полос требуемой конечной толщины. В данной работе выполнено исследование модуля жесткости клетей чистовой группы действующего непрерывного широкополосного стана с учетом их конструктивных особенностей при производстве горячекатаных полос различного листового сортамента низкоуглеродистых сталей, преимущественно предназначенных для дальнейшей холодной прокатки. При анализе экспериментальных данных получены достоверные уравнения регрессии, позволяющие учитывать влияние ширины прокатываемой полосы на модуль жесткости клетей. Исследование представлено в графической и табличной форме, демонстрирующей изменение значений модуля жесткости для различных клетей стана. Результаты исследования позволяют проектировать и вносить изменения в существующие технологические режимы горячей прокатки с целью обеспечения требуемой точности продольного и поперечного профиля горячекатаных полос.</p></abstract><trans-abstract xml:lang="en"><p>Stiffness modulus is an important technical parameter of each four-high stand of continuous wide-strip hot rolling mill and characterizes the roll force that causes elastic deformation of all structural elements of the working stand in the assembly. Accuracy of deviations of longitudinal and widthwise profile of hot-rolled strips and quality of sheet products directly depends on reliability of determination of such parameter at the design stage of efficient technological rolling schedule. After review of classical methods for calculating elastic deformations of four-high stands based on the laws of the elasticity theory and modern publications, it was concluded that it is necessary to take into account the dynamic component when determining the stiffness modulus of the working stands of hot and cold rolling mills. Lack of record-keeping above the specified component entails significant errors in the alignment of the roll gaps at the stage of mill setting for rolling the strips of the required final thickness. In this work, we studied the stiffness modulus of the finishing stands of the operating continuous wide-strip mill, taking into account their constructional features in the production of hot-rolled strips of various sheet gauge of low-carbon steels, mainly intended for further cold rolling. When analyzing experimental data, reliable regression equations were obtained that allow taking into account the effect of the rolled strip width on the stiffness modulus of stands. The results of investigations are presented in graphical and tabular form, demonstrating the change in the stiffness modulus for different mill stands. The results allow us to design and make changes to the existing hot rolling modes in order to ensure the required accuracy of the longitudinal and widthwise profile of hot-rolled strips.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>модуль жесткости четырехвалковой клети</kwd><kwd>непрерывный широкополосный стан горячей прокатки</kwd><kwd>усилие прокатки</kwd><kwd>межвалковый зазор</kwd><kwd>ширина полосы</kwd><kwd>уравнения регрессии</kwd><kwd>режимы прокатки</kwd></kwd-group><kwd-group xml:lang="en"><kwd>stiffness modulus of four-high stand</kwd><kwd>continuous wide-strip hot rolling mill</kwd><kwd>rolling force</kwd><kwd>rolling gap</kwd><kwd>strip width</kwd><kwd>regression equations</kwd><kwd>rolling schedule</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">Гарбер Э.А. Станы холодной прокатки. 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