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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">vdgtu</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Дагестанского государственного технического университета. Технические науки</journal-title><trans-title-group xml:lang="en"><trans-title>Herald of Dagestan State Technical University. Technical Sciences</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2073-6185</issn><issn pub-type="epub">2542-095X</issn><publisher><publisher-name>Daghestan State Technical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21822/2073-6185-2026-53-1-200-213</article-id><article-id custom-type="elpub" pub-id-type="custom">vdgtu-2023</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>СТРОИТЕЛЬСТВО И АРХИТЕКТУРА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>BUILDING AND ARCHITECTURE</subject></subj-group></article-categories><title-group><article-title>Гибридная методология прогнозирования несущей способности внецентренно сжатых прямоугольных трубобетонных колонн</article-title><trans-title-group xml:lang="en"><trans-title>A Hybrid Methodology for Predicting the Load-Bearing Capacity of Rectangular Concrete-Filled Steel Tube Columns Under Eccentric Compression</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6182-786X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Аль-Згуль</surname><given-names>С. Х.</given-names></name><name name-style="western" xml:lang="en"><surname>Al-Zgul</surname><given-names>S. Kh.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Аль-Згуль Самир Хусейнович, аспирант кафедры «Строительная механика и теория сооружений»,</p><p>344000, г. Ростов-на-Дону, площадь Гагарина, 1</p></bio><bio xml:lang="en"><p>Samir Kh. Al-Zgul, Postgraduate Student of the Department of Structural Mechanics and Theory of Structures,</p><p>1 Gagarin Square, Rostov-on-Don 344000</p></bio><email xlink:type="simple">alzgulsamirfx@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3518-8942</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кондратьева</surname><given-names>Т. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Kondratieva</surname><given-names>T. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кондратьева Татьяна Николаевна, кандидат технических наук, доцент кафедры «Математика и информатика»,</p><p>344000, г. Ростов-на-Дону, площадь Гагарина, 1</p></bio><bio xml:lang="en"><p>Tatiana N. Kondratieva, Cand. Sci. (Eng.), Assoc. Prof., Department of Mathematics and Computer Science,</p><p>1 Gagarin Square, Rostov-on-Don 344000</p></bio><email xlink:type="simple">ktn618@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5205-1446</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Языев</surname><given-names>Б. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Yazyev</surname><given-names>B. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Языев Батыр Меретович, доктор технических наук, профессор кафедры «Строительная механика и теория сооружений»,</p><p>344000, г. Ростов-на-Дону, площадь Гагарина, 1</p></bio><bio xml:lang="en"><p>Batyr M. Yazyev, Dr. Sci. (Eng.), Prof., Department of Structural Mechanics and Theory of Structures,</p><p>1 Gagarin Square, Rostov-on-Don 344000</p></bio><email xlink:type="simple">ps62@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9133-8546</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Чепурненко</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Chepurnenko</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Чепурненко Антон Сергеевич, доктор технических наук, профессор кафедры «Строительная механика и теория сооружений»,</p><p>344000, г. Ростов-на-Дону, площадь Гагарина, 1</p></bio><bio xml:lang="en"><p>Anton S. Chepurnenko, Dr. Sci. (Eng.), Prof., Department of Structural Mechanics and Theory of Structures,</p><p>1 Gagarin Square, Rostov-on-Don 344000</p></bio><email xlink:type="simple">anton_chepurnenk@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Донской государственный технический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Don State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>30</day><month>04</month><year>2026</year></pub-date><volume>53</volume><issue>1</issue><fpage>200</fpage><lpage>213</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Аль-Згуль С.Х., Кондратьева Т.Н., Языев Б.М., Чепурненко А.С., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Аль-Згуль С.Х., Кондратьева Т.Н., Языев Б.М., Чепурненко А.С.</copyright-holder><copyright-holder xml:lang="en">Al-Zgul S.K., Kondratieva T.N., Yazyev B.M., Chepurnenko A.S.</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.dgtu.ru/jour/article/view/2023">https://vestnik.dgtu.ru/jour/article/view/2023</self-uri><abstract><sec><title>Цель</title><p>Цель. Целью исследования является разработка гибридной методологии прогнозирования несущей способности внецентренно сжатых прямоугольных трубобетонных колонн, основанную на интеграции аналитических расчетных моделей, нелинейного конечно-элементного моделирования и методов машинного обучения.</p></sec><sec><title>Метод</title><p>Метод. Исследование базируется на комбинированном вычислительном подходе, включающем предварительную аналитическую оценку по методу предельного равновесия и уточняющий нелинейный конечно-элементный анализ с использованием теории пластичности бетона Гениева и итерационной схемы Ньютона–Рафсона. Сформирован синтетический датасет, примененный для машинного обучения CatBoost с использованием метрики RMSLE.</p></sec><sec><title>Результат</title><p>Результат. Разработан алгоритм генерации и валидации расчетной базы данных, обеспечивающий физическую обоснованность и репрезентативность обучающей выборки. Сформирован структурированный датасет, охватывающий широкий диапазон геометрических и прочностных параметров колонн. Полученная модель машинного обучения демонстрирует высокую точность прогнозирования предельной несущей способности при внецентренном сжатии.</p></sec><sec><title>Вывод</title><p>Вывод. Разработанная гибридная методология позволяет с высокой точностью прогнозировать несущую способность трубобетонных колонн при внецентренном сжатии за счет объединения аналитических моделей, конечно-элементного анализа и машинного обучения. Полученные результаты могут быть использованы для создания цифровых инструментов расчета и оптимизации конструкций, а также для совершенствования существующих инженерных методик.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Objective</title><p>Objective. To develop a hybrid methodology for predicting the load-bearing capacity of rectangular concrete-filled steel tube (CFST) columns under eccentric compression, based on the integration of analytical calculation models, nonlinear finite-element modeling, and machine learning techniques.</p></sec><sec><title>Method</title><p>Method. The study is based on a combined computational approach that includes a preliminary analytical assessment using the limit equilibrium method and a refining nonlinear finite-element analysis employing Geniev's theory of concrete plasticity and the Newton–Raphson iterative scheme. A synthetic dataset was generated from the obtained results and used to train a CatBoost machine learning model, with performance evaluated using the Root Mean Squared Logarithmic Error (RMSLE) metric.</p></sec><sec><title>Result</title><p>Result. An algorithm for the generation and validation of a computational database was developed, ensuring the physical plausibility and representativeness of the training sample. A structured dataset was formed, covering a wide range of geometric and strength parameters of the columns. The resulting machine learning model demonstrates high accuracy in predicting the ultimate load-bearing capacity under eccentric compression.</p></sec><sec><title>Conclusion</title><p>Conclusion. The developed hybrid methodology enables high-accuracy prediction of the load-bearing capacity of CFST columns under eccentric compression by combining analytical models, finite-element analysis, and machine learning. The obtained results can be used to create digital tools for structural analysis and optimization, as well as to improve existing engineering design practices.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>трубобетонные колонны (ТБК)</kwd><kwd>гибридная методология</kwd><kwd>внецентренное сжатие</kwd><kwd>конечно-элементное моделирование</kwd><kwd>машинное обучение</kwd><kwd>CatBoost</kwd><kwd>несущая способность</kwd></kwd-group><kwd-group xml:lang="en"><kwd>concrete-filled steel tube columns (CFST)</kwd><kwd>hybrid methodology</kwd><kwd>eccentric compression</kwd><kwd>finite-element modeling</kwd><kwd>machine learning</kwd><kwd>CatBoost</kwd><kwd>load-bearing capacity</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">Акаев А.И., Магомедов М.Г., Пайзулаев М.М. 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