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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">vestnikcstroy</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник НИЦ «Строительство»</journal-title><trans-title-group xml:lang="en"><trans-title>Bulletin of Science and Research Center of Construction</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2224-9494</issn><issn pub-type="epub">2782-3938</issn><publisher><publisher-name>АО «НИЦ «Строительство»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.37538/2224-9494-2026-1(48)-126-145</article-id><article-id custom-type="edn" pub-id-type="custom">ILLQVL</article-id><article-id custom-type="elpub" pub-id-type="custom">vestnikcstroy-622</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>СТРОИТЕЛЬНЫЕ КОНСТРУКЦИИ, ЗДАНИЯ И СООРУЖЕНИЯ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>BUILDING CONSTRUCTIONS, BUILDINGS AND STRUCTURES</subject></subj-group></article-categories><title-group><article-title>Влияние жесткости внутримодульных узлов на напряженно-деформированное состояние конструкций модульных зданий</article-title><trans-title-group xml:lang="en"><trans-title>Influence of intramodular joints stiffness to the stress-strain behavior of modular buildings constructions</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6285-8895</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Широков</surname><given-names>В. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Shirokov</surname><given-names>V. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Широков Вячеслав Сергеевич, канд. техн. наук, доцент кафедры «Строительная механика, фундаменты, металлические конструкции»</p><p>AuthorID: 665300</p><p>ResearcherID: N-5278-2016</p><p>ул. Молодогвардейская, д. 244, г. Самара, 443100</p></bio><bio xml:lang="en"><p>Viacheslav S. Shirokov, Cand. Sci. (Engineering), Associate Professor, Department of Structural Mechanic, Foundations, Metal Structures</p><p>AuthorID: 665300</p><p>ResearcherID: N-5278-2016</p><p>Molodogvardeyskaya str., 244, Samara, 443100</p></bio><email xlink:type="simple">ShirokovViacheslav@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Белаш</surname><given-names>Т. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Belash</surname><given-names>T. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Татьяна Александровна Белаш, д-р техн. наук, профессор кафедры «Строительные сооружения, конструкции и материалы»</p><p>AuthorID: 66498</p><p>2-я Институтская ул., д. 6, г. Москва, 109428</p></bio><bio xml:lang="en"><p>Tatyana A. Belash, Dr. Sci. (Engineering), Professor of the Department of Building Structures, Constructions and Materials</p><p>AuthorID: 66498</p><p>2nd Institutskaya str., 6, bld. 1, Moscow, 109428</p></bio><email xlink:type="simple">Belashta@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ФГБОУ ВО «Самарский государственный технический университет»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Samara State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>АО «НИЦ «Строительство»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>JSC Research Center of Construction</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>25</day><month>05</month><year>2026</year></pub-date><volume>48</volume><issue>1</issue><fpage>126</fpage><lpage>145</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Широков В.С., Белаш Т.А., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Широков В.С., Белаш Т.А.</copyright-holder><copyright-holder xml:lang="en">Shirokov V.S., Belash T.A.</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://vestnik.cstroy.ru/jour/article/view/622">https://vestnik.cstroy.ru/jour/article/view/622</self-uri><abstract><sec><title>Введение</title><p>Введение. Жесткость узлов стальных конструкций значительно влияет на распределение внутренних усилий в элементах каркаса. Данное положение справедливо и для модульных зданий. Межмодульные узлы влияют на напряженно-деформированное состояние здания в целом, в то же время жесткость внутримодульных узлов оказывает влияние на напряженно-деформированное состояние каждого модуля в отдельности. Объектом исследования являются стальные модульные здания из составленных модулей с несущими угловыми колоннами.</p></sec><sec><title>Цель</title><p>Цель. Исследовать напряженно-деформированное состояние стальных модульных зданий с жесткими и податливыми внутримодульными соединениями при различных вариантах силового воздействия.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы. Для оценки влияния жесткости узлов на напряженно-деформированное состояние модульных зданий проведена серия исследований с различными параметрами соединений методом конечных элементов. Всего рассчитана 921 модель узла. Для подтверждения результатов, полученных численным методом, проведены физические испытания полноразмерных образцов узлов. Сформулированы основные допущения для составления стержневой расчетной модели. На основании выявленных допущений получены выражения, описывающие в явном виде влияние вращательной жесткости внутримодульных узлов на распределение внутренних усилий в элементах модуля и на частоты собственных колебаний здания.</p></sec><sec><title>Результаты</title><p>Результаты. В рамках численных исследований методом конечных элементов установлено значительное влияние наличия ребер и их размеров на жесткость внутримодульных узлов. При этом показано, что узлы без ребер жесткости в общем случае являются податливыми. Для конструирования жестких внутримодульных узлов составлены номограммы по назначению минимальных размеров ребер. Физические испытания полноразмерных узлов подтвердили результаты, полученные при численных исследованиях. Расчетный анализ с помощью полученных выражений показал, что неучет фактической податливости узлов при расчете стержневой модели модульного здания может привести к значительным неточностям в определении усилий и частот собственных колебаний.</p></sec><sec><title>Выводы</title><p>Выводы. Проведенные исследования показывают значительное влияние жесткости внутримодульных узлов на напряженно-деформированное состояние стальных модульных зданий. При расчете модульных зданий необходимо учитывать податливость узловых соединений. Интерес представляет проведение аналогичных исследований для других конструктивных схем модульных зданий с различными конструктивными решениями узлов.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. The steel structure joints stiffness significantly affects the distribution of internal forces in the frame elements. This point is true for modular buildings too. Intermodular joints affect the stress-strain behavior of the whole building, while the intramodular joints stiffness of affects the stress-strain behavior of each module individually. The object of the research is steel modular buildings made of assembled modules with load-bearing corner columns.</p></sec><sec><title>Aim</title><p>Aim. Studying the stress-strain behavior of steel modular buildings with rigid and semi-rigid intra-modular joints exposed various loads.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. To assess the influence of the joints stiffness to the stress-strain behavior of modular buildings, a series of studies were conducted with various connection parameters using the finite element method. A total of 921 joints models were calculated. To confirm the results obtained by the numerical method, physical tests of full-size specimens of the joints were carried out. The main assumptions for the creating of calculation model have been formulated. Based on the identified assumptions, equations were obtained that explicitly describe the influence of the rotational stiffness of intra-modular joints to the distribution of internal forces in the elements of the module and to the natural vibration frequencies of the building.</p></sec><sec><title>Results</title><p>Results. Within the framework of numerical studies using the finite element method, a significant influence of the presence of stiffeners and their dimensions on the intra-modular joints stiffness was established. It is shown that nodes without stiffeners are generally semi-rigid. For the design of rigid intra-modular joints, nomograms have been compiled for the assignment of minimum stiffeners sizes. Physical tests of full-size joints specimens confirmed the results obtained in numerical studies. A calculation analysis using the obtained equations showed that failure to take into account the actual joint stiffness o when calculating the rod model of a modular building can lead to significant inaccuracies in determining the internal forces and frequencies of natural vibration.</p></sec><sec><title>Conclusion</title><p>Conclusion. The conducted researches show a significant influence of intra-modular joints stiffness to the stress-strain behavior of steel modular buildings. It is necessary to take into account the joints stiffness when calculating modular buildings. It is of interest to conduct similar studies for other structural schemes of modular buildings with different structural solutions of joints.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>модульные здания</kwd><kwd>внутримодульные узлы</kwd><kwd>вращательная жесткость</kwd><kwd>жесткие узлы</kwd><kwd>податливые узлы</kwd><kwd>испытания узлов</kwd><kwd>напряженно-деформированное состояние</kwd><kwd>частоты собственных колебаний</kwd></kwd-group><kwd-group xml:lang="en"><kwd>modular buildings</kwd><kwd>intra-modular joints</kwd><kwd>rotational stiffness</kwd><kwd>rigid joints</kwd><kwd>semi-rigid joints</kwd><kwd>joint testing</kwd><kwd>stress-strain behavior</kwd><kwd>natural vibration frequencies</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование не имело спонсорской поддержки.</funding-statement><funding-statement xml:lang="en">No funding support was obtained for the research.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Iakovlev N.A., Khraponova L.V. 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