<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">construction</journal-id><journal-title-group><journal-title xml:lang="ru">Строительство и реконструкция</journal-title><trans-title-group xml:lang="en"><trans-title>Building and Reconstruction</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2073-7416</issn><publisher><publisher-name>Орловский государственный университет имени И.С. Тургенева</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.33979/2073-7416-2026-125-3-46-59</article-id><article-id custom-type="edn" pub-id-type="custom">IHLPLS</article-id><article-id custom-type="elpub" pub-id-type="custom">construction-1076</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>БЕЗОПАСНОСТЬ ЗДАНИЙ И СООРУЖЕНИЙ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>BUILDING AND STRUCTURE SAFETY</subject></subj-group></article-categories><title-group><article-title>Установление форматов безопасности для динамического нелинейного конечно-элементного анализа железобетонной конструкции при внезапном удалении несущей колонны</article-title><trans-title-group xml:lang="en"><trans-title>Establishment of safety formats for dynamic nonlinear finite element analysis of a reinforced concrete structure under sudden load-bearing column removal</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5755-8345</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ву</surname><given-names>Туен Нгок</given-names></name><name name-style="western" xml:lang="en"><surname>Vu</surname><given-names>Tuyen Ngoc</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ву Нгок Туен, кандидат технических наук, доцент кафедры фундаментального образования</p><p>Scopus ID: 57215934802</p><p>г. Москва</p></bio><bio xml:lang="en"><p>Vu Ngoc Tuyen, Candidate of Technical Sciences, Associate Professor of the Department of Fundamental Education</p><p>Scopus ID: 57215934802</p><p>Moscow</p></bio><email xlink:type="simple">WuNgokTuen@gic.mgsu.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/0000-0002-8896-0246</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Лизогуб</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Lizahub</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Лизогуб Александр Александрович, магистр технических наук, старший преподаватель кафедры теоретической и прикладной механики</p><p>Scopus ID: 57220836043</p><p>г. Брест</p></bio><bio xml:lang="en"><p>Aliaksandr Al. Lizahub, Master of Engineering Sciences, Senior Lecturer of the Department of Theoretical and Applied Mechanics</p><p>Scopus ID: 57220836043</p><p>Brest</p></bio><email xlink:type="simple">p_332_14lizogub@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 «Национальный исследовательский Московский государственный строительный университет»&#13;
(НИУ МГСУ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow State University of Civil Engineering</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Брестский государственный технический университет</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Brest State Technical University</institution><country>Belarus</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>19</day><month>07</month><year>2026</year></pub-date><volume>0</volume><issue>3</issue><fpage>46</fpage><lpage>59</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ву Т.Н., Лизогуб А.А., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Ву Т.Н., Лизогуб А.А.</copyright-holder><copyright-holder xml:lang="en">Vu T.N., Lizahub A.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://construction.elpub.ru/jour/article/view/1076">https://construction.elpub.ru/jour/article/view/1076</self-uri><abstract><p>В данном исследовании устанавливаются и оцениваются три формата безопасности для нелинейного конечно-элементного анализа, применяемого к задаче прогрессирующего разрушения железобетонной рамной конструкции в сценарии внезапного удаления несущей колонны. Рассматриваемые форматы включают: метод частных коэффициентов, метод оценки коэффициента вариации и метод общего коэффициента сопротивления. Данные форматы применяются в рамках общей методики оценки сопротивления для определения расчётной несущей способности конструкции. Три метода применяются к железобетонной рамной конструкции для сравнительного и критического анализа результатов прогнозирования несущей способности. Результаты показывают существенные различия между методами. Метод частных коэффициентов и метод общего коэффициента сопротивления, требующие единственного нелинейного конечно-элементного анализа, обеспечивают консервативную оценку несущей способности конструкции, что подтверждается полным разрушением рассматриваемой рамы в обоих случаях. Метод оценки коэффициента вариации, основанный на двух нелинейных конечно-элементных анализах со средними и характеристическими значениями прочности материалов, позволяет более детально учесть изменчивость свойств материалов. Полученные результаты демонстрируют существенное различие в перемещениях конструкции в зависимости от уровня прочности материалов</p></abstract><trans-abstract xml:lang="en"><p>This study establishes and evaluates three safety formats for nonlinear finite element analysis applied to the problem of progressive collapse of a reinforced concrete frame structure under the scenario of sudden removal of a load-bearing column. The considered safety formats include the partial factor method, the method of estimating the coefficient of variation, and the global resistance factor method. These formats are applied within the framework of a global resistance assessment approach to determine the design resistance of the structure. The three methods are applied to a reinforced concrete frame structure for comparative and critical analysis of the predicted structural resistance. The results show significant differences between the methods. The partial factor method and the global resistance factor method, each requiring a single nonlinear finite element analysis, provide a conservative estimate of the structural resistance, which is confirmed by the complete collapse of the examined frame in both cases. The method of estimating the coefficient of variation, based on two nonlinear finite element analyses with mean and characteristic values of material strengths, allows for a more detailed consideration of the variability of material properties. The obtained results demonstrate a significant difference in structural displacements depending on the level of material strength.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>нелинейный конечно-элементный анализ</kwd><kwd>форматы безопасности</kwd><kwd>расчетное глобальное сопротивление</kwd><kwd>железобетонные конструкции</kwd><kwd>структурная надежность</kwd><kwd>коэффициент безопасности</kwd><kwd>прогрессирующее обрушение</kwd></kwd-group><kwd-group xml:lang="en"><kwd>NLFEAs</kwd><kwd>Safety formats</kwd><kwd>Design global resistance</kwd><kwd>Reinforced concrete structure</kwd><kwd>Structural reliability</kwd><kwd>Safety factor</kwd><kwd>Progressive collapse</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено за счет гранта Российского научного фонда No 24-49-10010, https://rscf.ru//project/24-49-10010/ . Исследование выполнено в рамках гранта Белорусского республиканского фонда фундаментальных исследований No Т23РНФМ-060.</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">Adam J.M., Parisi F., Sagaseta J., Lu X. Research and practice on progressive collapse and robustness of building structures in the 21st century // Engineering Structures. 2018. № 173. С. 122–149. DOI:10.1016/j.engstruct.2018.06.082.</mixed-citation><mixed-citation xml:lang="en">Adam J.M., Parisi F., Sagaseta J., Lu X. Research and practice on progressive collapse and robustness of building structures in the 21st century. Engineering Structures. 2018. No. 173. Pp. 122–149.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Byfield M., Mudalige W., Morison C., Stoddart E. A review of progressive collapse research and regulations // Proceedings of the Institution of Civil Engineers - Structures and Buildings. 2014. № 8(167). С. 447–456. DOI:10.1680/STBU.12.00023.</mixed-citation><mixed-citation xml:lang="en">Byfield M., Mudalige W., Morison C., Stoddart E. A review of progressive collapse research and regulations. Proceedings of the Institution of Civil Engineers - Structures and Buildings. 2014. Vol. 167. No. 8. Pp. 447–456.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Abdelwahed B. A review on building progressive collapse, survey and discussion // Case Studies in Construction Materials. 2019. № 11. С. e00264. DOI:10.1016/J.CSCM.2019.E00264.</mixed-citation><mixed-citation xml:lang="en">Abdelwahed B. A review on building progressive collapse, survey and discussion. Case Studies in Construction Materials. 2019. No. 11.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Kang S.B., Wang S., Gao S. Analytical study on one-way reinforced concrete beam-slab sub-structures under compressive arch action and catenary action // Engineering Structures. 2020. № 206. С. 110032. DOI:10.1016/J.ENGSTRUCT.2019.110032.</mixed-citation><mixed-citation xml:lang="en">Kang S.B., Wang S., Gao S. Analytical study on one-way reinforced concrete beam-slab sub-structures under compressive arch action and catenary action. Engineering Structures. 2020. No. 206.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Kiureghian A. Der, Ditlevsen O. Aleatory or epistemic? Does it matter? // Structural Safety. 2009. № 2(31). С. 105–112. DOI:10.1016/j.strusafe.2008.06.020.</mixed-citation><mixed-citation xml:lang="en">Kiureghian A. Der, Ditlevsen O. Aleatory or epistemic? Does it matter?. Structural Safety. 2009. Vol.31. No. 2. Pp. 105–112.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Castaldo P., Gino D., Carbone V.I., Mancini G. Framework for definition of design formulations from empirical and semi-empirical resistance models // Structural Concrete. 2018. № 4(19). С. 980–987. DOI:10.1002/suco.201800083.</mixed-citation><mixed-citation xml:lang="en">Castaldo P., Gino D., Carbone V.I., Mancini G. Framework for definition of design formulations from empirical and semi-empirical resistance models. Structural Concrete. 2018. Vol. 19. No. 4. Pp. 980–987.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Castaldo P., Gino D., Bertagnoli G., Mancini G. Partial safety factor for resistance model uncertainties in 2D non-linear finite element analysis of reinforced concrete structures // Engineering Structures. 2018. № 176. С. 746–762. DOI:10.1016/j.engstruct.2018.09.041.</mixed-citation><mixed-citation xml:lang="en">Castaldo P., Gino D., Bertagnoli G., Mancini G. Partial safety factor for resistance model uncertainties in 2D non-linear finite element analysis of reinforced concrete structures. Engineering Structures. 2018. No. 176. Pp. 746–762.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Fib-federation internationale du beton. fib model code for concrete structures 2010. – John Wiley &amp; Sons; 2013.</mixed-citation><mixed-citation xml:lang="en">Fib-federation internationale du beton. fib model code for concrete structures 2010. – John Wiley &amp; Sons; 2013.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Muttoni A., Ruiz M.F. Levels-of-a pproximation approach in codes of practice // Structural Engineering International: Journal of the International Association for Bridge and Structural Engineering (IABSE). 2012. № 2(22). С. 190–194. DOI:10.2749/101686612X13291382990688.</mixed-citation><mixed-citation xml:lang="en">Muttoni A., Ruiz M.F. Levels-of-a pproximation approach in codes of practice. Structural Engineering International: Journal of the International Association for Bridge and Structural Engineering (IABSE). 2012. Vol. 22. No. 2. Pp. 190–194.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Mancini G., Carbone V.I., Bertagnoli G., Gino D. Reliability-based evaluation of bond strength for tensed lapped joints and anchorages in new and existing reinforced concrete structures // Structural Concrete. 2018. № 3(19). С. 904–917. DOI:10.1002/suco.201700082.</mixed-citation><mixed-citation xml:lang="en">Mancini G., Carbone V.I., Bertagnoli G., Gino D. Reliability-based evaluation of bond strength for tensed lapped joints and anchorages in new and existing reinforced concrete structures. Structural Concrete. 2018. Vol.19. No. 3. Pp. 904–917.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Cervenka V. Reliability-based non-linear analysis according to fib Model Code 2010 // Structural Concrete. 2013. № 1(14). С. 19–28. DOI:10.1002/SUCO.201200022.</mixed-citation><mixed-citation xml:lang="en">Cervenka V. Reliability-based non-linear analysis according to fib Model Code 2010. Structural Concrete. 2013. Vol. 14. No. 1. Pp. 19–28.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">fib Bulletin N°45: Practitioner’s guide to finite element modelling of reinforced concrete structures – State of the art report, Lausanne; 2008.</mixed-citation><mixed-citation xml:lang="en">fib Bulletin No 45: Practitioner’s guide to finite element modelling of reinforced concrete structures – State of the art report, Lausanne; 2008.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">NIST GCR 17-917-46v3. Guidelines for Nonlinear Structural Analysis for Design of Buildings, U.S. Department of Commerce, Engineering Laboratory National Institute of Standards and Technology, Gaithersburg, USA; 2017.</mixed-citation><mixed-citation xml:lang="en">NIST GCR 17-917-46v3. Guidelines for Nonlinear Structural Analysis for Design of Buildings, U.S. Department of Commerce, Engineering Laboratory National Institute of Standards and Technology, Gaithersburg, USA; 2017.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Pham A.T., Tan K.H., Yu J. Numerical investigations on static and dynamic responses of reinforced concrete sub-assemblages under progressive collapse // Engineering Structures. 2017. № 149. С. 2–20. DOI:10.1016/j.engstruct.2016.07.042.</mixed-citation><mixed-citation xml:lang="en">Pham A.T., Tan K.H., Yu J. Numerical investigations on static and dynamic responses of reinforced concrete sub-assemblages under progressive collapse. Engineering Structures. 2017. No. 149. Pp. 2–20.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Allaix D.L., Carbone V.I., Mancini G. Global safety format for non-linear analysis of reinforced concrete structures // Structural Concrete. 2013. № 1(14). С. 29–42. DOI:10.1002/suco.201200017.</mixed-citation><mixed-citation xml:lang="en">Allaix D.L., Carbone V.I., Mancini G. Global safety format for non-linear analysis of reinforced concrete structures. Structural Concrete. 2013. Vol. 14. No. 1. Pp. 29–42.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Castaldo P., Gino D. M.G. Safety formats for non-linear finite element analysis of reinforced concrete structures: discussion, comparison and proposals // Engineering Structures. 2019. № 193. С. 136–153. DOI:10.1016/J.ENGSTRUCT.2019.05.029.</mixed-citation><mixed-citation xml:lang="en">Castaldo P., Gino D. M.G. Safety formats for non-linear finite element analysis of reinforced concrete structures: discussion, comparison and proposals. Engineering Structures. 2019. No. 193. Pp. 136–153.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">CEN Comité Européen de Normalisation. EN 1990: Eurocode - basis of structural design. Brussels (Belgium): CEN; 2002.</mixed-citation><mixed-citation xml:lang="en">CEN Comité Européen de Normalisation. EN 1990: Eurocode - basis of structural design. Brussels (Belgium): CEN; 2002.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Castaldo P., Gino D., Bertagnoli G., Mancini G. Partial safety factor for resistance model uncertainties in 2D non-linear finite element analysis of reinforced concrete structures // Engineering Structures. 2018. № 176. C. 746–762. DOI:10.1016/j.engstruct.2018.09.041.</mixed-citation><mixed-citation xml:lang="en">Castaldo P., Gino D., Bertagnoli G., Mancini G. Partial safety factor for resistance model uncertainties in 2D non-linear finite element analysis of reinforced concrete structures // Engineering Structures. 2018. № 176. C. 746–762. DOI:10.1016/j.engstruct.2018.09.041.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Tur A., Tur V., Derechennik S., Lizahub A. An innovative safety format for structural system robustness checking // Budownictwo i Architektura / Civil and Architectural Engineering. 2020. № 4(19). С. 067–079. DOI:10.35784/BUD-ARCH.2133.</mixed-citation><mixed-citation xml:lang="en">Tur A., Tur V., Derechennik S., Lizahub A. An innovative safety format for structural system robustness checking. Budownictwo i Architektura / Civil and Architectural Engineering. 2020. Vol. 19. No. 4. Pp. 067–079.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">CEN Comité Européen de Normalisation. EN 1992-1-1: Eurocode 3: design of concrete structures – Part 1–1: general rules and rules for buildings. Brussels (Belgium): CEN; 2004.</mixed-citation><mixed-citation xml:lang="en">CEN Comité Européen de Normalisation. EN 1992-1-1: Eurocode 3: design of concrete structures – Part 1–1: general rules and rules for buildings. Brussels (Belgium): CEN; 2004.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
