<?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">mgssuvest</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник МГСУ</journal-title><trans-title-group xml:lang="en"><trans-title>Vestnik MGSU</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1997-0935</issn><issn pub-type="epub">2304-6600</issn><publisher><publisher-name>Moscow State University of Civil Engineering (National Research University) (MGSU)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22227/1997-0935.2024.3.367-376</article-id><article-id custom-type="elpub" pub-id-type="custom">mgssuvest-210</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>Проектирование и конструирование строительных систем. Строительная механика. Основания и фундаменты, подземные сооружения</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Construction system design and layout planning. Construction mechanics. Bases and foundations, underground structures</subject></subj-group></article-categories><title-group><article-title>Аналитический метод определения напряженно-деформированного состояния модульных зданий</article-title><trans-title-group xml:lang="en"><trans-title>Analytical method for determining the stress-strain state of modular buildings</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>Вячеслав Сергеевич Широков — старший преподаватель кафедры металлических и деревянных конструкций</p><p>443100, г. Самара, ул. Молодогвардейская, д. 244</p><p>РИНЦ ID: 665300, ResearcherID: N-5278-2016</p></bio><bio xml:lang="en"><p>Viacheslav S. Shirokov — senior lecturer at the Department of Metal and Wooden Structures</p><p>244 Molodogvardeyskaya st., Samara, 443100</p><p>ID RSCI: 665300, ResearcherID: N-5278-2016</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 — доктор технических наук, профессор кафедры строительных сооружений, конструкций и материалов</p><p>109428, г. Москва, 2-я Институтская ул., д. 6</p><p>РИНЦ ID: 66498</p></bio><bio xml:lang="en"><p>Tatyana A. Belash — Doctor of Technical Sciences, Professor of the Department of Building Structures, Constructions and Materials</p><p>6 2nd Institutskaya st., Moscow, 109428</p><p>ID RSCI: 66498</p></bio><email xlink:type="simple">Belashta@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гордеева</surname><given-names>Т. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Gordeeva</surname><given-names>T. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Татьяна Евгеньевна Гордеева — кандидат технических наук, доцент, декан строительно-технологического факультета</p><p>443100, г. Самара, ул. Молодогвардейская, д. 244</p><p>РИНЦ ID: 301105</p></bio><bio xml:lang="en"><p>Tatyana E. Gordeeva — Candidate of Technical Sciences, Associate Professor, Dean of the Faculty of Construction and Technology</p><p>244 Molodogvardeyskaya st., Samara, 443100</p><p>ID RSCI: 301105</p></bio><email xlink:type="simple">nfyuj@rambler.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Самарский государственный технический университет (СамГТУ)<country>Россия</country></aff><aff xml:lang="en">Samara State Technical University (SamGTU)<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">НИЦ «Строительство»<country>Россия</country></aff><aff xml:lang="en">Research Center “Construction”<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>30</day><month>03</month><year>2024</year></pub-date><volume>19</volume><issue>3</issue><fpage>367</fpage><lpage>376</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Широков В.С., Белаш Т.А., Гордеева Т.Е., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Широков В.С., Белаш Т.А., Гордеева Т.Е.</copyright-holder><copyright-holder xml:lang="en">Shirokov V.S., Belash T.A., Gordeeva T.E.</copyright-holder><license 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://www.vestnikmgsu.ru/jour/article/view/210">https://www.vestnikmgsu.ru/jour/article/view/210</self-uri><abstract><sec><title>Введение</title><p>Введение. Активное внедрение модульных зданий в практику современного строительства вызывает необходимость развития методов их расчета. Однако отсутствуют какие-либо специализированные руководства по проектированию модульных зданий. При разработке рекомендаций проектирования невозможно обойтись только численными методами расчета. Поэтому создание аналитического метода расчета модульных зданий — актуальное направление исследований. Рассматривается вопрос определения усилий в элементах модульных зданий с несущими колоннами и жесткими внутримодульными соединениями.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы. Определение усилий в элементах модульных зданий от вертикальных нагрузок с высокой точностью можно проводить с помощью известных выражений строительной механики. Главной трудностью является установление динамических воздействий (пульсация ветра и сейсмика). Предлагается использовать консольную схему сооружения с разложением масс в уровне перекрытий. В результате вычислений образуется набор инерционных сил от пульсации и сейсмического воздействия. Для большего упрощения вычислений написана программа Modular. Программа удобна для проведения предварительных и вариантных расчетов и исследований конструкций модульных зданий.</p></sec><sec><title>Результаты</title><p>Результаты. Представленный аналитический метод определения усилий в элементах модульных зданий показывает хорошую сходимость результатов с методом конечных элементов. На конкретном примере показано, что расхождение в определении усилий от вертикальных нагрузок практически отсутствует. Расхождение от суммарного воздействия статической и пульсационной составляющих составляет 4,2–16,6 % для изгибающих моментов и 1,3–6 % для продольных сил. Погрешность определения усилий от сейсмического воздействия укладывается в интервал 5–10 % как для изгибающих моментов, так и для продольных сил.</p></sec><sec><title>Выводы</title><p>Выводы. Метод удобен для применения на стадии качественной оценки проектных решений, вариантных расчетов и поиска рациональных конструктивных решений модульных зданий.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. Active introduction of modular buildings into the practice of modern construction causes the necessity to develop methods of their calculation. At the same time, there are no specialized guidelines for the design of modular buildings. It is impossible to manage only with numerical methods of calculation for forming design recommendations. Therefore, the creation of an analytical method of calculation of modular buildings is an important area of research. The question of determination of forces in elements of modular buildings with bearing columns and rigid intramodular connections is considered.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. The determination of forces in the elements of modular buildings from vertical loads can be carried out with high accuracy using well-known formulas of building mechanics. The main difficulty is the determination of dynamic effects (wind pulsation and seismic load). It is proposed to use a cantilever construction scheme with the decomposition of masses at the floor level. As a result of calculations, a set of inertial forces is formed from pulsation and seismic action. Modular programme was written to simplify the calculations. The programme is convenient for making preliminary and variant calculations and research of modular building structures.</p></sec><sec><title>Results</title><p>Results. The presented analytical method for determining the forces in the elements of modular buildings shows good convergence of the results with the finite element method. On a concrete example, it is shown that there is practically no discrepancy in determination of forces from vertical loads. The discrepancy from the combined effect of the static and pulsation components is 4.2–16.6 % for bending moments and 1.3–6 % for longitudinal forces. The discrepancy in determining the forces from the seismic load is within the range of 5–10 % for both bending moments and longitudinal forces.</p></sec><sec><title>Conclusions</title><p>Conclusions. The method is convenient for application at the stage of qualitative assessment of design solutions, variant calculations and search for rational design solutions of modular buildings.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>модульные здания</kwd><kwd>частота собственных колебаний</kwd><kwd>методы расчета</kwd><kwd>нагрузки</kwd><kwd>усилия</kwd></kwd-group><kwd-group xml:lang="en"><kwd>modular buildings</kwd><kwd>natural vibration frequency</kwd><kwd>calculation methods</kwd><kwd>loads</kwd><kwd>internal forces</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">Абрамян С.Г., Илиев А.Б. Особенности технологий быстровозводимых зданий и сооружений // Научные исследования высшей школы в области строительства и архитектуры : сб. ст. Междунар. науч.-практ. конф. 2018. С. 22–27. EDN YQHWNF.</mixed-citation><mixed-citation xml:lang="en">Abramyan S.G., Iliev A.B. Features of technologies of prefabricated buildings and structures. Scientific research of higher school in the field of construction and architecture : the international scientific-practical conference. 2018; 22-27. EDN YQHWNF. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Захарова М.В., Пономарев А.Б. Опыт строительства зданий и сооружений по модульной технологии // Вестник Пермского национального исследовательского политехнического университета. Строительство и архитектура. 2017. Т. 8. № 1. С. 148–155. DOI: 10.15593/2224-9826/2017.1.13.EDNYLXSPN.</mixed-citation><mixed-citation xml:lang="en">Zakharova M.V., Ponomarev A.B. Experience in constructing buildings and structures using modular technology. Bulletin of Perm National Research Polytechnic University. Construction and Architecture. 2017; 8(1):148-155. DOI: 10.15593/2224-9826/2017.1.13.EDN YLXSPN. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Захарова А.С. Обустройство месторождений нефтегазовой промышленности и их инфраструктура // Инженерный вестник Дона. 2020. № 11(71). С. 329–338. EDN NWFFYL.</mixed-citation><mixed-citation xml:lang="en">Zaharova A.S. Arrangement of oil and gas fields and their infrastructure. Engineering Journal of Don. 2020; 11(71):329-338. EDN NWFFYL. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Иванов А.А. Анализ рынка блочно-модульных зданий из металлоконструкций для нефтегазовой сферы // Начало в науке : мат. IV Междунар. науч.-практ. конф. школьников, студентов, магистрантов и аспирантов. 2017. С. 219–222. EDN YJEBSN.</mixed-citation><mixed-citation xml:lang="en">Ivanov A.A. Analysis of the market for block-modular buildings from metal structures for the oil and gas sector. Beginning in science : materials of the IV international scientific-practical conference of schoolchildren, students, undergraduates and graduate students. 2017; 219-222. EDN YJEBSN. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Lawson R., Ogden R., Pedreschi R., Grubb P., Popo-Ola S. Developments in pre-fabricated systems in light steel and modular construction // The Structural engineer. 2005. Vol. 83. Pp. 28–35.</mixed-citation><mixed-citation xml:lang="en">Lawson R., Ogden R., Pedreschi R., Grubb P., Popo-Ola S. Developments in pre-fabricated systems in light steel and modular construction. The Structural engineer. 2005; 83:28-35.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Lawson R.M., Richards J. Modular design for high-rise buildings // Proceedings of the Institution of Civil Engineers — Structures and Buildings. 2010. Vol. 163. Issue 3. Pp. 151–164. DOI: 10.1680/stbu.2010.163.3.151</mixed-citation><mixed-citation xml:lang="en">Lawson R.M., Richards J. Modular design for high-rise buildings. Proceedings of the Institution of Civil Engineers — Structures and Buildings. 2010; 163(3):151-164. DOI: 10.1680/stbu.2010.163.3.151</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Thai H.-T., Ngo T., Uy B. A review on modular construction for high-rise buildings // Structures. 2020. Vol. 28. Pp. 1265–1290. DOI: 10.1016/j.istruc.2020.09.070</mixed-citation><mixed-citation xml:lang="en">Thai H.-T., Ngo T., Uy B. A review on modular construction for high-rise buildings. Structures. 2020; 28:1265-1290. DOI: 10.1016/j.istruc.2020.09.070</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Ferdous W., Bai Y., Ngo T.D., Manalo A., Mendis P. New advancements, challenges and opportunities of multi-storey modular buildings : a state-of-the-art review // Engineering Structures. 2019. Vol. 183. Pp. 883–893. DOI: 10.1016/j.engstruct.2019.01.061</mixed-citation><mixed-citation xml:lang="en">Ferdous W., Bai Y., Ngo T.D., Manalo A., Mendis P. New advancements, challenges and opportunities of multi-storey modular buildings : a state-of-the-art review. Engineering Structures. 2019; 183:883-893. DOI: 10.1016/j.engstruct.2019.01.061</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Innovation in modular building construction. The Hong Kong Institute of Steel Construction, 2018. DOI: 10.18057/ICASS2018.K.05</mixed-citation><mixed-citation xml:lang="en">Innovation in modular building construction. The Hong Kong Institute of Steel Construction, 2018. DOI: 10.18057/ICASS2018.K.05</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Liew J.Y.R., Dai Z., Chua Y.S. Steel concrete composite systems for modular construction of high-rise buildings // Proceedings 12th international conference on Advances in Steel-Concrete Composite Structures — ASCCS 2018. 2018. DOI: 10.4995/ASCCS2018.2018.7220</mixed-citation><mixed-citation xml:lang="en">Liew J.Y.R., Dai Z., Chua Y.S. Steel concrete composite systems for modular construction of high-rise buildings. Proceedings 12th international conference on Advances in Steel-Concrete Composite Structures — ASCCS 2018. 2018. DOI: 10.4995/ASCCS2018.2018.7220</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Liew J.Y.R., Chua Y.S., Dai Z. Steel concrete composite systems for modular construction of high-rise buildings // Structures. 2019. Vol. 21. Pp. 135–149. DOI: 10.1016/j.istruc.2019.02.010</mixed-citation><mixed-citation xml:lang="en">Liew J.Y.R., Chua Y.S., Dai Z. Steel concrete composite systems for modular construction of high-rise buildings. Structures. 2019; 21:135-149. DOI: 10.1016/j.istruc.2019.02.010</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Annan C.D., Youssef M.A., El Naggar M.H. Seismic overstrength in braced frames of modular steel buildings // Journal of Earthquake Engineering. 2008. Vol. 13. Issue 1. Pp. 1–21. DOI: 10.1080/13632460802212576</mixed-citation><mixed-citation xml:lang="en">Annan C.D., Youssef M.A., El Naggar M.H. Seismic overstrength in braced frames of modular steel buildings. Journal of Earthquake Engineering. 2008; 13(1):1-21. DOI: 10.1080/13632460802212576</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Zhao F., Yu Y., Lin S., Ding F. Evaluation of the working mechanisms and simplified models of endplate-type inter-module connections // Structures. 2021. Vol. 32. Pp. 562–577. DOI: 10.1016/j.istruc.2021.03.034</mixed-citation><mixed-citation xml:lang="en">Zhao F., Yu Y., Lin S., Ding F. Evaluation of the working mechanisms and simplified models of endplate-type inter-module connections. Structures. 2021; 32:562-577. DOI: 10.1016/j.istruc.2021.03.034</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Lacey A.W., Chen W., Hao H., Bi K. Effect of inter-module connection stiffness on structural response of a modular steel building subjected to wind and earthquake load // Engineering Structures. 2020. Vol. 213. P. 110628. DOI: 10.1016/j.engstruct.2020.110628</mixed-citation><mixed-citation xml:lang="en">Lacey A.W., Chen W., Hao H., Bi K. Effect of inter-module connection stiffness on structural response of a modular steel building subjected to wind and earthquake load. Engineering Structures. 2020; 213:110628. DOI: 10.1016/j.engstruct.2020.110628</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Lacey A.W., Chen W., Hao H., Bi K. Lateral behaviour of modular steel building with simplified models of new inter-module connections // Engineering Structures. 2021. Vol. 236. P. 112103. DOI: 10.1016/j.engstruct.2021.112103</mixed-citation><mixed-citation xml:lang="en">Lacey A.W., Chen W., Hao H., Bi K. Lateral behaviour of modular steel building with simplified models of new inter-module connections. Engineering Structures. 2021; 236:112103. DOI: 10.1016/j.engstruct.2021.112103</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Lacey A.W., Chen W., Hao H., Bi K. Numerical study of the structural response to wind loading: modular building case study // 13th International Conference on Steel, Space and Composite Structures. 2018.</mixed-citation><mixed-citation xml:lang="en">Lacey A.W., Chen W., Hao H., Bi K. Numerical study of the structural response to wind loading: modular building case study. 13th International Conference on Steel, Space and Composite Structures. 2018.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Lacey A.W., Chen W., Hao H., Bi K. Structural Response of Modular Buildings : an Overview // Journal of Building Engineering. 2018. Vol. 16. Pp. 45–56. DOI: 10.1016/j.jobe.2017.12.008</mixed-citation><mixed-citation xml:lang="en">Lacey A.W., Chen W., Hao H., Bi K. Structural response of modular buildings : an overview. Journal of Building Engineering. 2018; 16:45-56. DOI: 10.1016/j.jobe.2017.12.008</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Shirokov V.S., Kholopov I.S., Solovejv A.V. Determination of the frequency of natural vibrations of a modular building // Procedia Engineering. 2016. Vol. 153. Pp. 655–661. DOI: 10.1016/j.proeng.2016.08.218</mixed-citation><mixed-citation xml:lang="en">Shirokov V.S., Kholopov I.S., Solovejv A.V. Determination of the frequency of natural vibrations of a modular building. Procedia Engineering. 2016; 153:655-661. DOI: 10.1016/j.proeng.2016.08.218</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Shirokov V.S., Gordeeva T.E., Bocharov A.Yu. Analytic method of structural analysis of modular buildings // IOP Conference Series: Materials Science and Engineering. 2020. Vol. 775. Issue 1. P. 012148. DOI: 10.1088/1757-899X/775/1/012148</mixed-citation><mixed-citation xml:lang="en">Shirokov V.S., Gordeeva T.E., Bocharov A.Yu. Analytic method of structural analysis of modular buildings. IOP Conference Series: Materials Science and Engineering. 2020; 775(1):012148. DOI: 10.1088/1757-899X/775/1/012148</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Gatheeshgar P., Parker S., Askew K., Poologanathan K., Navaratnam S., McIntosh A. Flexural behaviour and design of modular construction optimised beams // Structures. 2021. Vol. 32. Pp. 1048–1068. DOI: 10.1016/j.istruc.2021.03.009</mixed-citation><mixed-citation xml:lang="en">Gatheeshgar P., Parker S., Askew K., Poologanathan K., Navaratnam S., McIntosh A. Flexural behaviour and design of modular construction optimised beams. Structures. 2021; 32:1048-1068. DOI: 10.1016/j.istruc.2021.03.009</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>
