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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">veststu</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Сибирского государственного университета путей сообщения</journal-title><trans-title-group xml:lang="en"><trans-title>Bulletin of Siberian State University of Transport</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1815-9265</issn><publisher><publisher-name>Сибирский государственный университет путей сообщения</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.52170/1815-9265_2026_81_14</article-id><article-id custom-type="elpub" pub-id-type="custom">veststu-976</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>Сейсмостойкость неразрезных монолитных мостов  с учетом натяжения арматурных канатов постнатяжения  при взаимодействии опор с грунтом</article-title><trans-title-group xml:lang="en"><trans-title>Seismic resistance of continuous monolithic bridges, considering the tension of post-tensioning reinforcement tendons during support-soil interaction</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мирзаев</surname><given-names>И.</given-names></name><name name-style="western" xml:lang="en"><surname>Mirzaev</surname><given-names>I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ибрахим Мирзаев – доктор физико-математических наук, профессор, профессор кафедры «Прикладная механика»</p><p>Ташкент</p></bio><bio xml:lang="en"><p>Ibrakhim Mirzaye – Doctor of Physical and Mathematical Sciences, Professor, Professor of the Applied Mechanics Department</p><p>Tashkent</p></bio><email xlink:type="simple">ibrakhim.mir@mail.ru</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>Шермухамедов</surname><given-names>У. З.</given-names></name><name name-style="western" xml:lang="en"><surname>Shermukhamedov</surname><given-names>U. Z.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Улугбек Забихуллаевич Шермухамедов – доктор технических наук, профессор, заведующий кафедрой «Мосты и тоннели»</p><p>Ташкент</p></bio><bio xml:lang="en"><p>Ulugbek Z. Shermukhamedov– Doctor of Engineering, Professor, Head of the Bridges and Tunnels Department</p><p>Tashkent</p></bio><email xlink:type="simple">ulugbekjuve@mail.ru</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>Абдуллаев</surname><given-names>А. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Abdullaev</surname><given-names>A. R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Абдурахим Ровшан ўғли Абдуллаев – PhD, старший преподаватель кафедры «Мосты и тоннели»</p><p>Ташкент</p></bio><bio xml:lang="en"><p>Abdurakhim R. Abdullaev– PhD, Senior Lecturer of the Bridges and Tunnels Department</p><p>Tashkent</p></bio><email xlink:type="simple">abdurahim.abdullayev.94@mail.ru</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>Каримова</surname><given-names>А. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Karimova</surname><given-names>A. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Анора Бахтиеровна Каримова – PhD, доцент кафедры «Мосты и тоннели»</p><p>Ташкент</p></bio><bio xml:lang="en"><p>Anora B. Karimova – PhD, Associate Professor of the Bridges and Tunnels Department</p><p>Tashkent</p></bio><email xlink:type="simple">4tillaboyeva_anora_karimova@mail.ru</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>Овчинников</surname><given-names>И. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Ovchinnikov</surname><given-names>I. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Овчинников Игорь Георгиевич  – доктор технических наук, профессор, академик РАТ, академик РИА, профессор базовой кафедры АО «Мостострой-11»; профессор кафедры «Автомобильные дороги, мосты и транспортные сооружения»</p><p>Тюмень</p><p>Уфа</p></bio><bio xml:lang="en"><p>Igor G. Ovchinnikov – Doctor of Engineering, Professor, Academician of the Russian Academy of Transport, Russian Academy of Architecture, Professor of the Basic Department of Mostostroy-11; Professor of the Highways, Bridges, and Transport Structures Department</p><p>Tyumen</p><p>Ufa</p></bio><email xlink:type="simple">bridgesar@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Ташкентский государственный транспортный университет</institution><country>Узбекистан</country></aff><aff xml:lang="en"><institution>Tashkent State Transport University</institution><country>Uzbekistan</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Тюменский индустриальный университет; Уфимский государственный нефтяной технический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Tyumen Industrial University; Ufa State Petroleum Technological 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>15</day><month>10</month><year>2026</year></pub-date><volume>80</volume><issue>4</issue><issue-title>Спецвыпуск</issue-title><fpage>14</fpage><lpage>25</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Мирзаев И., Шермухамедов У.З., Абдуллаев А.Р., Каримова А.Б., Овчинников И.Г., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Мирзаев И., Шермухамедов У.З., Абдуллаев А.Р., Каримова А.Б., Овчинников И.Г.</copyright-holder><copyright-holder xml:lang="en">Mirzaev I., Shermukhamedov U.Z., Abdullaev A.R., Karimova A.B., Ovchinnikov I.G.</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://www.vestnikstu.ru/jour/article/view/976">https://www.vestnikstu.ru/jour/article/view/976</self-uri><abstract><p>Обеспечение сейсмостойкости транспортных сооружений является одной из приоритетных задач современного инженерного проектирования, особенно в сейсмоопасных регионах Центральной Азии. В настоящей работе рассмотрены особенности численного расчета сейсмостойкости неразрезного монолитного автодорожного путепровода с учетом напряжения арматурных канатов постнатяжения и взаимодействия опор с грунтовым основанием. Объектом исследования является трехпролетный неразрезной монолитный железобетонный путепровод пролетной схемой 35  50  35 м, расположенный в г. Джизаке, в районе 8-балльной сейсмической интенсивности, над высокоскоростной линией Ташкент – Самарканд (Республика Узбекистан). Промежуточные опоры – двухстоечные, высотой 12 м; в поперечном сечении плиты пролетного строения предусмотрено 19 каналообразователей с арматурными канатами постнатяжения. Расчеты выполнены в двух программных комплексах: ШАРК (метод прямого пошагового динамического интегрирования по акселерограммам реального Газлийского землетрясения 1976 г. интенсивностью более 9 баллов по шкале MSK-64) и MIDAS Civil (спектральный метод). Грунтовое основание смоделировано в соответствии с моделью Винклера посредством вязкоупругих связей, параметры которых определены по характеристикам лессовидных суглинков III категории по сейсмическим свойствам (КМК 2.01.03-19). Представлены результаты расчетов нормальных напряжений в верхней и нижней частях пролетного строения путепровода. Максимальное сжимающее напряжение в верхней части пролетного строения составило −10,10 МПа (MIDAS Civil) и −3,30 МПа (ШАРК); растягивающее напряжение в нижней части – 2,32 и 2,25 МПа соответственно. Выявленное расхождение результатов обусловлено принципиальным различием расчетных методов: спектральный метод дает консервативную (завышенную) оценку, тогда как прямое динамическое интегрирование воспроизводит реальную картину напряженно-деформированного состояния. В результате расчетов установлено, что все значения напряжений не превышают допустимых норм по ШНК 2.05.03–2022: путепровод сохраняет эксплуатационные характеристики при землетрясении интенсивностью более 9 баллов по шкале MSK-64. </p></abstract><trans-abstract xml:lang="en"><p>Ensuring the seismic stability of transport structures is a high-priority task in modern engineering design, especially in the seismically active regions of Central Asia. This paper examines the features of the numerical analysis of the seismic stability of a continuous monolithic highway overpass, considering the prestressing of post-tensioning reinforcement strands and the interaction between the piers and the soil foundation. The object of study is a three-span continuous monolithic reinforced concrete overpass with a 35+ 50 + 35 m span arrangement, located in the city of Jizzakh in a seismic intensity zone of 8 points, over the Tashkent-Samarkand high-speed railway line (Republic of Uzbekistan). The intermediate piers are double-column, 12 m in height; the cross-section of the superstructure slab includes 19 ducts with post-tensioning reinforcement strands. The analyses were performed using two software packages: SHARK (the direct step-by-step dynamic integration method using accelerograms from the actual 1976 Gazli earthquake, with an intensity exceeding 9 points on the MSK-64 scale) and MIDAS Civil (the response spectrum method). The soil foundation was modeled according to the Winkler model using viscoelastic links, the parameters of which were determined from the characteristics of Category III loess-like loams based on their seismic properties (KMK 2.01.03-19). The results of the normal stress calculations in the upper and lower parts of the overpass superstructure are presented. The maximum compressive stress in the upper part of the superstructure was -10.10 MPa (MIDAS Civil) and -3.30 MPa (SHARK); the tensile stress in the lower part was 2.32 and 2.25 MPa, respectively. The identified discrepancy in the results is due to the fundamental difference between the analysis methods: the response spectrum method provides a conservative (overestimated) assessment, whereas direct dynamic integration reproduces a more realistic picture of the stress-strain state. The analyses established that all stress values do not exceed the permissible limits set by SHNK 2.05.03-2022, indicating that the overpass maintains its operational performance during an earthquake with an intensity of more than 9 points on the MSK-64 scale.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>неразрезная схема</kwd><kwd>монолитный</kwd><kwd>автодорожный путепровод</kwd><kwd>железобетон</kwd><kwd>пролетное строение</kwd><kwd>грунт</kwd><kwd>акселерограммы реальных землетрясений</kwd></kwd-group><kwd-group xml:lang="en"><kwd>continuous scheme</kwd><kwd>monolithic</kwd><kwd>highway overpass</kwd><kwd>reinforced concrete</kwd><kwd>span structure</kwd><kwd>soil</kwd><kwd>accelerograms of real earthquakes</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">Priestley M. J. N., Seible F., Calvi G. M. Seismic Design and Retrofit of Bridges. New York : John Wiley &amp; Sons, 1996. 686 p.</mixed-citation><mixed-citation xml:lang="en">Priestley M. J. N., Seible F., Calvi G. M. Seismic Design and Retrofit of Bridges. New York: John Wiley &amp; Sons; 1996. 686 p.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Calvi G. M., Pinto P. E. Experimental and numerical investigations on the seismic response of bridges and recommendations for code provisions // Proceedings of the 2nd International Workshop on Seismic Design and Retrofitting of Reinforced Concrete Bridges. Queenstown, 1994. P. 1–32.</mixed-citation><mixed-citation xml:lang="en">Calvi G. M., Pinto P. E. Experimental and numerical investigations on the seismic response of bridges and recommendations for code provisions. Proceedings of the 2nd International Workshop on Seismic Design and Retrofitting of Reinforced Concrete Bridges. Queenstown; 1994. P. 1–32.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Kawashima K. Seismic design and retrofit of bridges // Bulletin of the New Zealand Society for Earthquake Engineering. 2000. Vol. 33, No. 3. P. 265–285.</mixed-citation><mixed-citation xml:lang="en">Kawashima K. Seismic design and retrofit of bridges. Bulletin of the New ealand Society for Earthquake Engineering. 2000;33(3):265–285.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Mander J. B., Priestley M. J. N., Park R. Theoretical stress-strain model for confined concrete // Journal of Structural Engineering. 1988. Vol. 114, no. 8. P. 1804–1826.</mixed-citation><mixed-citation xml:lang="en">Mander J. B., Priestley M. J. N., Park R. Theoretical stress-strain model for confined concrete. Journal of Structural Engineering. 1988;114(8):1804–1826.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Pecker A. Advanced Earthquake Engineering Analysis. Vienna : Springer, 2007. 222 p.</mixed-citation><mixed-citation xml:lang="en">Pecker A. Advanced Earthquake Engineering Analysis. Vienna: Springer; 2007. 222 p.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Gazetas G. Analysis of machine foundation vibrations: state of the art // International Journal of Soil Dynamics and Earthquake Engineering. 1983. Vol. 2, no. 1. P. 2–42.</mixed-citation><mixed-citation xml:lang="en">Gazetas G. Analysis of machine foundation vibrations: state of the art. International Journal of Soil Dynamics and Earthquake Engineering. 1983;2(1):2–42.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Elnashai A. S., Di Sarno L. Fundamentals of Earthquake Engineering. Chichester : Wiley, 2008. 337 p.</mixed-citation><mixed-citation xml:lang="en">Elnashai A. S., Di Sarno L. Fundamentals of Earthquake Engineering. Chichester: Wiley; 2008. 337 p.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Meng J. Y., Lui E. M. Seismic analysis and assessment of a skew highway bridge // Engineering Structures. 2000. Vol. 22. P. 1433–1452. DOI 10.1016/S0141-0296(99)00097-8.</mixed-citation><mixed-citation xml:lang="en">Meng J. Y., Lui E. M. Seismic analysis and assessment of a skew highway bridge. Engineering Structures. 2000;22:1433–1452. DOI 10.1016/S0141-0296(99)00097-8.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Maleki S. Deck modeling for seismic analysis of skewed slab-girder bridges // Engineering Structures. 2002. Vol. 24, no. 10. P. 1315–1326. DOI 10.1016/S0141-0296(02)00066-4.</mixed-citation><mixed-citation xml:lang="en">Maleki S. Deck modeling for seismic analysis of skewed slab-girder bridges. Engineering Structures. 2002;24(10):1315–1326. DOI 10.1016/S0141-0296(02)00066-4.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Choi E., DesRoches R., Nielson B. Seismic fragility of typical bridges in moderate seismic zones // Engineering Structures. 2004. Vol. 26, no. 2. P. 187–199. DOI 10.1016/j.engstruct.2003.09.006.</mixed-citation><mixed-citation xml:lang="en">Choi E., DesRoches R., Nielson B. Seismic fragility of typical bridges in moderate seismic zones. Engineering Structures. 2004;26(2):187–199. DOI 10.1016/j.engstruct.2003.09.006.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Nielson B. G., DesRoches R. Analytical seismic fragility curves for typical bridges in the central and southeastern United States // Earthquake Spectra. 2007. Vol. 23, no. 3. P. 615–633. DOI 10.1193/1.2756815.</mixed-citation><mixed-citation xml:lang="en">Nielson B. G., DesRoches R. Analytical seismic fragility curves for typical bridges in the central and southeastern United States. Earthquake Spectra. 2007;23(3):615–633. DOI 10.1193/1.2756815.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">КМК 2.01.03–19. Строительство в сейсмических районах. Ташкент : Государственный комитет Республики Узбекистан по архитектуре и строительству, 2019. 140 с.</mixed-citation><mixed-citation xml:lang="en">KMK 2.01.03–19. Construction in seismic regions. Tashkent: State Committee of the Republic of Uzbekistan for Architecture and Construction; 2019. 140 p. (In Russ).</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Influence of the vertical earthquake component on the shear vibration of buildings on sliding foundations / I. Мirzaev, Anvar Yuvmitov, Malikjon Turdiev, Jakhongir Shomurodov // E3S Web of Conferences. EDP Sciences, 2021. Vol. 264. P. 02022.</mixed-citation><mixed-citation xml:lang="en">Mirzaev I., Anvar Yuvmitov, Malikjon Turdiev and Jakhongir Shomurodov. Influence of the vertical earthquake component on the shear vibration of buildings on sliding foundations. E3S Web of Conferences. EDP Sciences, 2021. Vol. 264. P. 02022.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Kosimov E., Mirzaev I., Bekmirzaev D. Comparison of the impacts of harmonic and seismic waves on an underground pipeline during the Gazli earthquake // IOP Conference Series: Materials Science and Engineering. IOP Publishing, 2021. Vol. 1030, no. 1. P. 012082.</mixed-citation><mixed-citation xml:lang="en">Kosimov E., Mirzaev I., Bekmirzaev D. Comparison of the impacts of harmonic and seismic waves on an underground pipeline during the Gazli earthquake. IOP Conference Series: Materials Science and Engineering. IOP Publishing, 2021. Vol. 1030, No. 1. P. 012082.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Internet site for European strong-motion data / N. N. Ambraseys, P. Smit, J. Douglas [et al.] // Bollettino di Geofisica Teorica ed Applicata. 2004. Vol. 45, no. 3. P. 113–129.</mixed-citation><mixed-citation xml:lang="en">Ambraseys N. N., Smit P., Douglas J. [et al.]. Internet site for European strong-motion data. Bollettino di Geofisica Teorica ed Applicata. 2004;45(3):113–129.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">ШНК 2.05.03–2022. Мосты и трубы. Ташкент : Министерство транспорта Республики Узбекистан, 2022. 396 с.</mixed-citation><mixed-citation xml:lang="en">SHNK 2.05.03–2022. Bridges and pipes. Tashkent: Ministry of Transport of the Republic of Uzbekistan; 2022. 396 p. (In Russ).</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>
