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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Structural Mechanics of Engineering Constructions and Buildings</journal-id><journal-title-group><journal-title xml:lang="en">Structural Mechanics of Engineering Constructions and Buildings</journal-title><trans-title-group xml:lang="ru"><trans-title>Строительная механика инженерных конструкций и сооружений</trans-title></trans-title-group></journal-title-group><issn publication-format="print">1815-5235</issn><issn publication-format="electronic">2587-8700</issn><publisher><publisher-name xml:lang="en">Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">46934</article-id><article-id pub-id-type="doi">10.22363/1815-5235-2025-21-4-294-306</article-id><article-id pub-id-type="edn">BOTCDZ</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Analytical and numerical methods of analysis of structures</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Аналитические и численные методы расчета конструкций</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Numerical Simulation of the Restoring Effect from Post-Stress in the Slab of a Cast-in-Situ Reinforced Concrete Frame</article-title><trans-title-group xml:lang="ru"><trans-title>Численное моделирование восстанавливающего эффекта от постнапряжения в плите перекрытия монолитного железобетонного каркаса</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3913-9694</contrib-id><contrib-id contrib-id-type="spin">6812-9718</contrib-id><name-alternatives><name xml:lang="en"><surname>Gaidzhurov</surname><given-names>Peter P.</given-names></name><name xml:lang="ru"><surname>Гайджуров</surname><given-names>Петр Павлович</given-names></name></name-alternatives><bio xml:lang="en"><p>Advisor of the Russian Academy of Architecture and Construction Sciences, Doctor of Technical Sciences, Professor of the Department of Structural Mechanics and Theory of Structures</p></bio><bio xml:lang="ru"><p>советник РААСН, доктор технических наук, профессор кафедры строительной механики и теории сооружений</p></bio><email>gpp-161@yandex.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8702-5168</contrib-id><contrib-id contrib-id-type="spin">8437-8080</contrib-id><name-alternatives><name xml:lang="en"><surname>Savelyeva</surname><given-names>Nina A.</given-names></name><name xml:lang="ru"><surname>Савельева</surname><given-names>Нина Александровна</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Technical Sciences, Senior Lecturer of the Department of Structural Mechanics and Theory of Structures</p></bio><bio xml:lang="ru"><p>кандидат технических наук, старший преподаватель кафедры строительной механики и теории сооружений</p></bio><email>ninasav86@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0005-1886-8777</contrib-id><name-alternatives><name xml:lang="en"><surname>Bris Robin</surname><given-names>Zu Bi Ti</given-names></name><name xml:lang="ru"><surname>Брис Робин</surname><given-names>Зу Би Ти</given-names></name></name-alternatives><bio xml:lang="en"><p>post-graduate student of the Department of Industrial and Civil Engineering, Geotechnology and Foundation Construction</p></bio><bio xml:lang="ru"><p>аспирант кафедры промышленного, гражданского строительства, геотехники и фундаментостроения</p></bio><email>robin.zu.92@inbox.ru</email><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Don State Technical University</institution></aff><aff><institution xml:lang="ru">Донской государственный технический университет</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Platov South Russian State Polytechnic University</institution></aff><aff><institution xml:lang="ru">Южно-Российский государственный политехнический университет (НПИ) имени М.И. Платова</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2025-11-05" publication-format="electronic"><day>05</day><month>11</month><year>2025</year></pub-date><volume>21</volume><issue>4</issue><issue-title xml:lang="en">VOL 21, NO4 (2025)</issue-title><issue-title xml:lang="ru">ТОМ 21, №4 (2025)</issue-title><fpage>294</fpage><lpage>306</lpage><history><date date-type="received" iso-8601-date="2025-11-05"><day>05</day><month>11</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2025, Gaidzhurov P.P., Savelyeva N.A., Bris Robin Z.B.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2025, Гайджуров П.П., Савельева Н.А., Брис Робин З.Б.</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="en">Gaidzhurov P.P., Savelyeva N.A., Bris Robin Z.B.</copyright-holder><copyright-holder xml:lang="ru">Гайджуров П.П., Савельева Н.А., Брис Робин З.Б.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/structural-mechanics/article/view/46934">https://journals.rudn.ru/structural-mechanics/article/view/46934</self-uri><abstract xml:lang="en"><p>A technique has been developed for finite element modeling of reinforcement of a cast-in-situ floor slab of a repeating fragment of a cast-in-situ frame with pre-stressed cables without adhesion to concrete. The analysis of the stress-strain state of the fragment, taking into account post-stress, is performed in linearly elastic setting. Three-dimensional plate and beam finite elements of the ANSYS Mechanical computational software were used to assemble the studied frame structure. The proposed concept of modeling the restoring force from a prestressed cable to concrete is based on the following sequence of steps: first, using truss and combined finite elements of the ANSYS Mechanical software, the plane problem of determining vertical and horizontal reactions caused by cable tension is solved, then spline interpolation of the obtained values of vertical reactions for setting the appropriate nodal forces on the slab elements is performed. The numerical simulation of the resulting restoring effect from the post-stress created in the floor slab is implemented using two-dimensional interpolation of the displacement distributions from the pre-stress according to two specified schemes onto an auxiliary regular finite element grid with subsequent superposition. The calculation results were compared using the proposed approach and methodology of the A.A. Gvozdev Scientific Research, Design and Technological Institute of Concrete (NIIZHB).</p></abstract><trans-abstract xml:lang="ru"><p>Разработана методика конечно-элементного моделирования усиления монолитной плиты перекрытия повторяющегося фрагмента монолитного каркаса предварительно напряженными тросами без сцепления с бетоном. Анализ напряженно-деформированного состояния фрагмента с учетом постнапряжения выполнен в линейно-упругой постановке. Для ансамблирования исследуемой пластинчато-стержневой конструкции использовались трехмерные пластинчатые и балочные конечные элементы вычислительного комплекса ANSYS Mechanical. Предлагаемая концепция моделирования восстанавливающего усилия от предварительно напряженного троса бетону базируется на следующей последовательности шагов: сначала с использованием ферменных и комбинированных конечных элементов комплекса ANSYS Mechanical решается плоская задача определения вертикальных и горизонтальных реакций, обусловленных натяжением троса, затем осуществляется сплайновая интерполяция полученных значений вертикальных реакций для задания соответствующих узловых усилий на элементы перекрытия. Численное моделирование результирующего восстанавливающего эффекта от постнапряжения, создаваемого в плите перекрытия, реализовано с применением двумерной интерполяции полей перемещений от предварительного напряжения по двум заданным схемам на вспомогательную регулярную конечно-элементную сетку с последующей суперпозицией. Выполнено сравнение результатов расчета с использованием предлагаемого подхода и методики Научно-исследовательского, проектно-конструкторского и технологического института бетона (НИИЖБ) им. А.А. Гвоздева.</p></trans-abstract><kwd-group xml:lang="en"><kwd>finite element method</kwd><kwd>cast-in-situ reinforced concrete frame</kwd><kwd>pre-tension</kwd><kwd>cable reinforcement</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>метод конечных элементов</kwd><kwd>монолитный железобетонный каркас</kwd><kwd>предварительное напряжение</kwd><kwd>тросовая арматура</kwd></kwd-group><funding-group/></article-meta><fn-group/></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Lin T.Y., Burns N.H. Design of prestressed concrete structures. Wiley Publ.; 1981. ISBN-10 9812531173</mixed-citation><mixed-citation xml:lang="ru">Lin T.Y., Burns N.H. Design of prestressed concrete structures. Wiley Publ.; 1981. 646 p. ISBN 10 9812531173</mixed-citation></citation-alternatives></ref><ref id="B2"><label>2.</label><citation-alternatives><mixed-citation xml:lang="en">Mikhailov K.V., Volkov Yu.S. 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