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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">44559</article-id><article-id pub-id-type="doi">10.22363/1815-5235-2025-21-1-3-17</article-id><article-id pub-id-type="edn">IBTMJL</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Analysis and design of building structures</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Расчет и проектирование строительных 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">Influence of Joint Type on Member Forces in Metal Ribbed-Ring Dome Frame Taking into Account Different Number of Supporting Columns</article-title><trans-title-group xml:lang="ru"><trans-title>Влияние узловых сопряжений на усилия в элементах металлического каркаса ребристо-кольцевого купола с учетом разного количества поддерживающих его колонн</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3926-8701</contrib-id><contrib-id contrib-id-type="spin">5297-2700</contrib-id><name-alternatives><name xml:lang="en"><surname>Lebed</surname><given-names>Evgeny V.</given-names></name><name xml:lang="ru"><surname>Лебедь</surname><given-names>Евгений Васильевич</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Technical Sciences, Associate Professor of the Department of Metal and Timber Structures</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент кафедры металлических и деревянных конструкций</p></bio><email>evglebed@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Moscow State University of Civil Engineering (National Research University)</institution></aff><aff><institution xml:lang="ru">Национальный исследовательский Московский государственный строительный университет</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2025-04-25" publication-format="electronic"><day>25</day><month>04</month><year>2025</year></pub-date><volume>21</volume><issue>1</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>3</fpage><lpage>17</lpage><history><date date-type="received" iso-8601-date="2025-06-11"><day>11</day><month>06</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2025, Lebed E.V.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2025, Лебедь Е.В.</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="en">Lebed E.V.</copyright-holder><copyright-holder xml:lang="ru">Лебедь Е.В.</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/44559">https://journals.rudn.ru/structural-mechanics/article/view/44559</self-uri><abstract xml:lang="en"><p>The influence of the type of joint on the internal forces in the elements of the metal frame of a ribbed-ring dome, and specifically considering different number of supporting columns, was studied. In this respect, cyclic symmetry of the columns along the entire contour of the dome is preserved. All elements of the dome frame and the columns are made of steel pipes. The objects of the study were dome frames, which differed from each other, both in different nodal connections and in different numbers of supporting columns. The domes have the same geometric structure and dimensions, the same cross-sections of the same type of frame elements and carry the same loads. The study was performed by analyzing computer models of the frames. Models with different joints were obtained by gradually converting the originally assigned hinges into rigid connections, and variation in the number of columns was implemented by regularly removing them from the original computer model. In the calculation process, internal forces N and M in the frame elements of all models were determined, which were compared with each other. Comparative diagrams of internal forces N and M in the frame elements of the original and all transformed models are obtained. The behavior of the elements of ribbed-ring domes with different nodal connections for frames with different numbers of columns is evaluated. According to the results of the study, significant changes in bending moments M in the lower ring and axial forces N in the columns were noted. Moreover, the nature of these changes depends on the type of nodal connection.</p></abstract><trans-abstract xml:lang="ru"><p>Исследовалось влияние узловых сопряжений на величины внутренних усилий в элементах металлического каркаса ребристо-кольцевого купола, в том числе и при разном количестве поддерживающих его колонн. При этом сохранялась циклическая симметрия колонн по всему контуру купола. Все элементы купольного каркаса и колонны приняты из стальных труб. Объектами исследования служили купольные каркасы, которые отличались друг от друга как разными узловыми сопряжениями, так и разным количеством поддерживающих его колонн. Купола имеют одинаковое геометрическое строение и размеры, одинаковые сечения однотипных элементов каркаса и воспринимают одинаковые нагрузки. Исследования проводились посредством расчетов компьютерных моделей каркасов. Модели с разными узловыми сопряжениями получены постепенным преобразованием изначально назначенных шарнирных узлов в жесткие, а разное количество колонн создавалось регулярным их удалением из исходной компьютерной модели. В процессе расчетов определялись внутренние усилия N и M в элементах каркасов всех моделей, которые сравнивались между собой. Получены сравнительные диаграммы внутренних усилий N и M в элементах каркасов исходной и всех преобразованных моделей. Дана оценка работы элементов ребристо-кольцевых куполов с разными узловыми сопряжениями для каркасов с разным количеством колонн. По результатам исследования отмечены значительные изменения изгибающих моментов M в нижнем кольце и продольных сил N в колоннах. Причем характер изменения усилий зависит от вида узловых сопряжений.</p></trans-abstract><kwd-group xml:lang="en"><kwd>computer model</kwd><kwd>meridional ribs</kwd><kwd>upper ring</kwd><kwd>lower ring</kwd><kwd>columns</kwd><kwd>hinged and rigid nodes</kwd><kwd>static calculation</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>компьютерная модель</kwd><kwd>меридиональные ребра</kwd><kwd>верхнее кольцо</kwd><kwd>нижнее кольцо</kwd><kwd>колонны</kwd><kwd>шарнирные и жесткие узлы</kwd><kwd>статический расчет</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Tur V.I. Dome Structures: Morphogenesis, Analysis, Design, Increase In Effectiveness. Moscow: ASV Publ.; 2004. (In Russ.) ISBN 5-93093-249-2</mixed-citation><mixed-citation xml:lang="ru">Тур В.И. Купольные конструкции : формообразование, расчет, конструирование, повышение эффективности. Москва : Издательство АСВ, 2004. 96 с. ISBN 5-93093-249-2</mixed-citation></citation-alternatives></ref><ref id="B2"><label>2.</label><citation-alternatives><mixed-citation xml:lang="en">Krivoshapko S.N. Metal ribbed-and-circular and lattice shells from the XIXth until the first half of the XXth centurie. Structural Mechanics of Engineering Constructions and Buildings. 2014;(6):4–15. (In Russ.) EDN: SYZJFN</mixed-citation><mixed-citation xml:lang="ru">Кривошапко С.Н. Металлические ребристо-кольцевые и сетчато-стержневые оболочки XIX - первой половины XX-го веков // Строительная механика инженерных конструкций и сооружений. 2014. № 6. C. 4-15. EDN: SYZJFN</mixed-citation></citation-alternatives></ref><ref id="B3"><label>3.</label><citation-alternatives><mixed-citation xml:lang="en">Krivoshapko S.N. On application of parabolic shells of revolution in civil engineering in 2000-2017. Structural Mechanics of Engineering Constructions and Buildings. 2017;(4):4–14. (In Russ.) https://doi.org/10.22363/1815-5235-20174-4-14 EDN: ZHAIXB</mixed-citation><mixed-citation xml:lang="ru">Кривошапко С.Н. К вопросу о применении параболических оболочек вращения в строительстве в 2000-2017 годах // Строительная механика инженерных конструкций и сооружений. 2017. № 4. C. 4-14. https://doi.org/10.22363/1815-5235-2017-4-4-14 EDN: ZHAIXB</mixed-citation></citation-alternatives></ref><ref id="B4"><label>4.</label><citation-alternatives><mixed-citation xml:lang="en">Kuznetsov V.V. Metal Structures. In 3 vols. Vol. 2. Steel structures of buildings and constructions. Reference book the designer. Moscow: ASV Publ.; 1998. (In Russ.) ISBN: 5-87829-081-2</mixed-citation><mixed-citation xml:lang="ru">Кузнецов В.В. Металлические конструкции: справочник проектировщика: в 3 томах. Т. 2 : Стальные конструкции зданий и сооружений. Москва : Изд-во АСВ, 1998. 512 с. ISBN: 5-87829-081-2</mixed-citation></citation-alternatives></ref><ref id="B5"><label>5.</label><citation-alternatives><mixed-citation xml:lang="en">Lebed E.V., Alukaev A.U. Large-span metal dome roofs and their construction. Structural Mechanics of Engineering Constructions and Buildings. 2018;14(1):4–16. (In Russ.) https://doi.org/10.22363/1815-5235-2018-14-1-4-16 EDN: YOJITL</mixed-citation><mixed-citation xml:lang="ru">Лебедь Е.В., Алукаев А.Ю. Большепролетные металлические купольные покрытия и их возведение // Строительная механика инженерных конструкций и сооружений. 2018. Т. 14. № 1. C. 4-16. https://doi.org/10.22363/18155235-2018-14-1-4-16 EDN: YOJITL</mixed-citation></citation-alternatives></ref><ref id="B6"><label>6.</label><citation-alternatives><mixed-citation xml:lang="en">Lebed E.V. Behavior of metal frame of ribbed-ring dome with decrease in number of supporting columns. Structural Mechanics of Engineering Constructions and Buildings. 2024;20(1):14–26. (In Russ.) https://doi.org/10.22363/1815-52352024-20-1-14-26 EDN: YPWZQU</mixed-citation><mixed-citation xml:lang="ru">Лебедь Е.В. Работа металлического каркаса ребристо-кольцевого купола при уменьшении количества поддерживающих его колонн // Строительная механика инженерных конструкций и сооружений. 2024. Т. 20. № 1. С. 14-26. https://doi.org/10.22363/1815-5235-2024-20-1-14-26 EDN: YPWZQU</mixed-citation></citation-alternatives></ref><ref id="B7"><label>7.</label><citation-alternatives><mixed-citation xml:lang="en">Anuj Ch. Analysis and design of steel dome using software. International Journal of Research in Engineering and Technology (IJRET). 2014;03(03):35–39. https://doi.org/10.15623/ijret.2014.0303006</mixed-citation><mixed-citation xml:lang="ru">Anuj C. Analysis and design of steel dome using software // International Journal of Research in Engineering and Technology (IJRET). 2014. Vol. 03. Issue 03. P. 35-39. https://doi.org/10.15623/ijret.2014.0303006</mixed-citation></citation-alternatives></ref><ref id="B8"><label>8.</label><citation-alternatives><mixed-citation xml:lang="en">Chacko P., Dipu V.S., Manju P.M. Finite Element Analysis of Ribbed Dome. International Journal of Engineering Research and Applications (IJERA). 2014;2248-9622:25–32.</mixed-citation><mixed-citation xml:lang="ru">Chacko P., Dipu V.S., Manju P.M. Finite Element Analysis of Ribbed Dome // International Journal of Engineering Research and Applications (IJERA). 2014. P. 25-32. ISSN: 2248-9622</mixed-citation></citation-alternatives></ref><ref id="B9"><label>9.</label><citation-alternatives><mixed-citation xml:lang="en">Jasim N.A., Saleh I.S., Faleh S.K. Structural analysis of ribbed domes using finite element method. International Journal of Civil Engineering Research. 2017;8(2):113–130. Available from: https://faculty.uobasrah.edu.iq/uploads/publications/1644004697.pdf (accessed: 15.08.2024)</mixed-citation><mixed-citation xml:lang="ru">Jasim N.A., Saleh I.S., Faleh S.K. Structural Analysis of Ribbed Domes Using Finite Element Method // International Journal of Civil Engineering Research. 2017. Vol. 8. No. 2. P. 113-130. URL: https://faculty.uobasrah.edu.iq/uploads/publications/1644004697.pdf (accessed: 15.08.2024)</mixed-citation></citation-alternatives></ref><ref id="B10"><label>10.</label><citation-alternatives><mixed-citation xml:lang="en">Anu J.S., Preethi M. Parametric Analysis of Single layer Ribbed dome with Diagonal members. International Research Journal of Engineering and Technology (IRJET). 2017;04(08):870–877.</mixed-citation><mixed-citation xml:lang="ru">Anu J.S., Preethi M. Parametric Analysis of Single layer Ribbed dome with Diagonal members // International Research Journal of Engineering and Technology (IRJET). 2017. Vol. 04. Issue 08. P. 870-877.</mixed-citation></citation-alternatives></ref><ref id="B11"><label>11.</label><citation-alternatives><mixed-citation xml:lang="en">Eldhose M., Rajesh A.K., Ramadass S. Finite Element Analysis and Parametric Study of Schwedler Dome Using ABAQUS Software. International Journal of Engineering Trends and Technology (IJETT). 2015;28(7):333–338. Available from: http://www.ijettjournal.org (accessed: 15.08.2024)</mixed-citation><mixed-citation xml:lang="ru">Eldhose M., Rajesh A.K., Ramadass S. Finite Element Analysis and Parametric Study of Schwedler Dome Using ABAQUS Software // International Journal of Engineering Trends and Technology (IJETT). 2015. Vol. 28. No. 7. P. 333-338. URL: http://www.ijettjournal.org (accessed: 15.08.2024)</mixed-citation></citation-alternatives></ref><ref id="B12"><label>12.</label><citation-alternatives><mixed-citation xml:lang="en">Lebed E.V. The influence of bracing on the stress state of the ribbed-ring dome framework. Structural Mechanics of Engineering Constructions and Buildings. 2022;18(5):417–427. (In Russ.) http://doi.org/10.22363/1815-5235-2022-18-5417-427 EDN: MVUUGT</mixed-citation><mixed-citation xml:lang="ru">Лебедь Е.В. Влияние связей на напряженное состояние каркаса ребристо-кольцевого купола // Строительная механика инженерных конструкций и сооружений. 2022. Т. 18. № 5. С. 417-427. http://doi.org/10.22363/1815-52352022-18-5-417-427 EDN: MVUUGT</mixed-citation></citation-alternatives></ref><ref id="B13"><label>13.</label><citation-alternatives><mixed-citation xml:lang="en">Lebed E.V. Influence of the size of the upper ring on the stressed state of the ribbed-ring metal dome. Structural Mechanics of Engineering Constructions and Buildings. 2023;19(5):450–458. http://doi.org/10.22363/1815-5235-2023-195-450-458 EDN: DTILTG</mixed-citation><mixed-citation xml:lang="ru">Lebed E.V. Influence of the size of the upper ring on the stressed state of the ribbed-ring metal dome // Строительная механика инженерных конструкций и сооружений. 2023. Т. 19. № 5. C. 450-458. http://doi.org/10.22363/18155235-2023-19-5-450-458 EDN: DTILTG</mixed-citation></citation-alternatives></ref><ref id="B14"><label>14.</label><citation-alternatives><mixed-citation xml:lang="en">Jeleniewicz K., Jaworski J., Żółtowski M., Izabela Uziębło I., Stefańska A., Dixit S. Steel ribbed dome structural performance with different node connections and bracing system. Scientific Reports. 2024;14:14013. https://doi.org/10.1038/s41598-024-64811-0 EDN: DXKSNY</mixed-citation><mixed-citation xml:lang="ru">Jeleniewicz K., Jaworski J., Żółtowski M., Izabela Uziębło I., Stefańska A., Dixit S. Steel ribbed dome structural performance with different node connections and bracing system // Scientific Reports. 2024. Vol. 14. Article no. 14013. https://doi.org/10.1038/s41598-024-64811-0 EDN: DXKSNY</mixed-citation></citation-alternatives></ref><ref id="B15"><label>15.</label><citation-alternatives><mixed-citation xml:lang="en">Karpilovskiy V.S., Kriksunov E.Z., Malyarenko A.A., Perel’muter A.V., Perel’muter M.A. SCAD Office. Computer system SCAD. Moscow: ASV Publ.; 2006. (In Russ.) ISBN: 5-93093-289-1 EDN: QNMHYR</mixed-citation><mixed-citation xml:lang="ru">Карпиловский В.С., Криксунов Э.З., Маляренко А.А., Перельмутер А.В., Перельмутер М.А. SCAD Office. Вычислительный комплекс SCAD. Москва : Изд-во АСВ. 2006. 592 с. ISBN: 5-93093-289-1 EDN: QNMHYR</mixed-citation></citation-alternatives></ref><ref id="B16"><label>16.</label><citation-alternatives><mixed-citation xml:lang="en">Gorodetskiy A.S., Evzerov I.D. Computer models of structures. Kiev: Fakt Publ.; 2005. (In Russ.) Available from: https://dwg.ru/dnl/1952 (accessed: 15.08.2024)</mixed-citation><mixed-citation xml:lang="ru">Городецкий А.С., Евзеров И.Д. Компьютерные модели конструкций. Киев : Изд-во Факт, 2005. 344 с. URL: https://dwg.ru/dnl/1952 (дата обращения: 15.08.2024)</mixed-citation></citation-alternatives></ref></ref-list></back></article>
