<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE root>
<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">37220</article-id><article-id pub-id-type="doi">10.22363/1815-5235-2023-19-5-469-490</article-id><article-id pub-id-type="edn">HKRYFA</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Dynamics of structures and buildings</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Динамика конструкций и сооружений</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">Frequency response of the construction of a large-span building with a cylindrical-and-slab roof†</article-title><trans-title-group xml:lang="ru"><trans-title>Частотный отклик конструкции большепролетного здания с цилиндро-плитным покрытием</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0907-786X</contrib-id><name-alternatives><name xml:lang="en"><surname>Kuzhakhmetova</surname><given-names>Elvira R.</given-names></name><name xml:lang="ru"><surname>Кужахметова</surname><given-names>Эльвира Рафаэльевна</given-names></name></name-alternatives><bio xml:lang="en"><p>Engineer, Chief Specialist</p></bio><bio xml:lang="ru"><p>инженер, главный специалист КТБ «Железобетон»</p></bio><email>elja_09@bk.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4911-8515</contrib-id><name-alternatives><name xml:lang="en"><surname>Sutyrin</surname><given-names>Valerii I.</given-names></name><name xml:lang="ru"><surname>Сутырин</surname><given-names>Валерий Игоревич</given-names></name></name-alternatives><bio xml:lang="en"><p>Dr. Sci. Eng., Associate Professor, Professor in “Institute of High Technologies”</p></bio><bio xml:lang="ru"><p>доктор технических наук, доцент, профессор ОНК «Институт высоких технологий»</p></bio><email>vsutyrin@mail.ru</email><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">KTB Beton Group</institution></aff><aff><institution xml:lang="ru">Акционерное общество «Конструкторско-технологическое бюро бетона и железобетона» (АО КТБ «Железобетон»)</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Immanuel Kant Baltic Federal University</institution></aff><aff><institution xml:lang="ru">Балтийский федеральный университет имени Иммануила Канта</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2023-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2023</year></pub-date><volume>19</volume><issue>5</issue><issue-title xml:lang="en">VOL 19, NO5 (2023)</issue-title><issue-title xml:lang="ru">ТОМ 19, №5 (2023)</issue-title><fpage>469</fpage><lpage>490</lpage><history><date date-type="received" iso-8601-date="2023-12-28"><day>28</day><month>12</month><year>2023</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2023, Kuzhakhmetova E.R., Sutyrin V.I.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2023, Кужахметова Э.Р., Сутырин В.И.</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="en">Kuzhakhmetova E.R., Sutyrin V.I.</copyright-holder><copyright-holder xml:lang="ru">Кужахметова Э.Р., Сутырин В.И.</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/37220">https://journals.rudn.ru/structural-mechanics/article/view/37220</self-uri><abstract xml:lang="en"><p style="text-align: justify;">Relevance of the research. Numerical studies of structural frequency response of a large-span building with cylindrical-and-slab roof as a large mechanical system were carried out. Finite element model No. 1 “Superstructure-Fixed-end” . The purpose of the study was to develop the methodology for modal analysis of a large-span building structure with a cylindrical-and-slab roof as a mechanical system with a large number of degrees of freedom . Methods. Numerical analysis of the building dynamics was carried out with the use of the САЕ (Computer-aided engineering) software package Femap NX NASTRAN, which implements the finite element method. Results. The “dangerous” resonant frequencies and forms of harmonic oscillations of the structure were revealed, and the sensitivity of the buildings’ reactions to various structural changes was analyzed. Frequency analysis of harmonic response of the building allowed to obtain dependences of amplitude values of nodal displacements (accelerations) and stresses in finite elements from the frequency of the inducing external force. In the next article, it is proposed to conduct a dynamic analysis of a large-span building with a cylindrical-and-slab roof for seismic effects.</p></abstract><trans-abstract xml:lang="ru"><p style="text-align: justify;">Актуальность. Приведены численные исследования частотного отклика конструкций большепролетного здания с цилиндро-плитным покрытием как большой механической системы. Конечно-элементная модель № 1 «Здание - жесткая заделка» представляет надземную часть здания с жесткой заделкой опорных элементов на обрезе фундамента. Цель исследования заключалась в отработке методики модального анализа конструкции большепролетного здания с цилиндро-плитным покрытием как механической системы с большим числом степеней свободы. Методы. Численный анализ динамики здания проводился с применением программного комплекса САЕ (Computer-aided engineering) - класса Femap NX NASTRAN, реализующего метод конечных элементов. Результаты. Выявлены «опасные» резонансные частоты и формы гармонических колебаний конструкции, проанализирована чувствительность реакций здания к различным конструктивным изменениям. Частотный анализ гармонического отклика (harmonic response) здания позволил получить зависимости амплитудных значений узловых перемещений (ускорений) и напряжений в конечных элементах от частоты вынуждающей внешней силы. В следующей статье на данную тему предполагается провести динамический анализ большепролетного здания с цилиндро-плитным покрытием на сейсмическое воздействие.</p></trans-abstract><kwd-group xml:lang="en"><kwd>finite element method</kwd><kwd>system</kwd><kwd>building</kwd><kwd>structure</kwd><kwd>large-span building</kwd><kwd>largespan space structures</kwd><kwd>cylindrical roof</kwd><kwd>cylindrical-and-slab roof</kwd><kwd>frequency response</kwd><kwd>harmonic response</kwd><kwd>oscillation</kwd><kwd>“Superstructure - Fixed-end”</kwd><kwd>“Superstructure - Pile foundation - Soil base”</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>метод конечных элементов</kwd><kwd>расчетная схема здания</kwd><kwd>система</kwd><kwd>здание</kwd><kwd>сооружение</kwd><kwd>большепролетное здание</kwd><kwd>пространственное покрытие</kwd><kwd>цилиндрическое покрытие</kwd><kwd>цилиндро-плитное покрытие</kwd><kwd>гармонический анализ</kwd><kwd>частотный анализ</kwd><kwd>колебания</kwd><kwd>частота колебаний</kwd><kwd>здание - фундамент - основание</kwd><kwd>здание - жесткая заделка</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">Kuzhakhmetova E.R., Sapozhnikov A.I. Architectural expressiveness and physiological expediency of buildings with curvilinear surfaces. Building Materials, Equipment, Technologies of the 21st Century. 2012;11(166):42–45. (In Russ.) EDN: SKDXXH</mixed-citation><mixed-citation xml:lang="ru">Кужахметова Э.Р., Сапожников А.И. Архитектурная выразительность и физиологическая целесообразность зданий с криволинейными поверхностями // Строительные материалы, оборудование, технологии XXI века. 2012. № 11 (166). С. 42-45. EDN: SKDXXH</mixed-citation></citation-alternatives></ref><ref id="B2"><label>2.</label><citation-alternatives><mixed-citation xml:lang="en">Kuzhakhmetova E.R. Patent of the Russia No. 2740506. Long-span building with a dome-slab-cable-stayed roof. 2021;(2).</mixed-citation><mixed-citation xml:lang="ru">Кужахметова Э.Р. Большепролетное здание с купольно-плитно-вантовым покрытием // Патент РФ № 2740506. 2021. Бюл. № 2. 7 с.</mixed-citation></citation-alternatives></ref><ref id="B3"><label>3.</label><citation-alternatives><mixed-citation xml:lang="en">Mamieva I.A. Ruled algebraic surfaces with a main frame from three superellipses. Structural Mechanics of Engineering Constructions and Buildings. 2022;18(4):387–395. (In Russ.) http://doi.org/10.22363/1815-5235-2022-18-4-387–395</mixed-citation><mixed-citation xml:lang="ru">Мамиева И.А. Линейчатые алгебраические поверхности с главным каркасом из трех суперэллипсов // Строительная механика инженерных конструкций и сооружений. 2022. Т. 18. № 4. С. 387-395. https://doi.org/10.22363/1815-5235-2022-18-4-387-395</mixed-citation></citation-alternatives></ref><ref id="B4"><label>4.</label><citation-alternatives><mixed-citation xml:lang="en">Mamieva I.A. Analytical surfaces for parametric architecture in contemporary buildings and structures. Academia. Architecture and Construction. 2020;(1):150‒165. (In Russ.) EDN: KNYKTY</mixed-citation><mixed-citation xml:lang="ru">Мамиева И.А. Аналитические поверхности для параметрической архитектуры в современных зданиях и сооружениях // Academia. Архитектура и строительство. 2020. № 1. С. 150-165. EDN: KNYKTY</mixed-citation></citation-alternatives></ref><ref id="B5"><label>5.</label><citation-alternatives><mixed-citation xml:lang="en">Mamieva I.A. Analytical surfaces in the architecture of Moscow. Structural Mechanics of Engineering Constructions and Buildings. 2013;(4):9‒15. (In Russ.) EDN: QCXPUD</mixed-citation><mixed-citation xml:lang="ru">Мамиева И.А. Аналитические поверхности в архитектуре Москвы // Строительная механика инженерных конструкций и сооружений. 2013. № 4. С. 9-15. EDN: QCXPUD</mixed-citation></citation-alternatives></ref><ref id="B6"><label>6.</label><citation-alternatives><mixed-citation xml:lang="en">Krivoshapko S.N., Mamieva I.A. Umbrella surfaces and surfaces of umbrella type in architecture. Industrial and Civil Construction. 2011;(7‒1):27‒30. (In Russ.) EDN: NXOUOP</mixed-citation><mixed-citation xml:lang="ru">Кривошапко С.Н., Мамиева И.А. Зонтичные поверхности и поверхности зонтичного типа в архитектуре // Промышленное и гражданское строительство. 2011. № 7-1. С. 27-30. EDN: NXOUOP</mixed-citation></citation-alternatives></ref><ref id="B7"><label>7.</label><citation-alternatives><mixed-citation xml:lang="en">Mamieva I.A. Influence of the geometrical researches of rare type surfaces on design of new and unique structures. Building and Reconstruction. 2019;5(85):23‒34. (In Russ.) https://doi.org/10.33979/2073-7416-2019-85-5-23-34</mixed-citation><mixed-citation xml:lang="ru">Mamieva I.A. Influence of the geometrical researches of rare type surfaces on design of new and unique structures // Building and Reconstruction. 2019. No. 5 (85). P. 23-34. https://doi.org/10.33979/2073-7416-2019-85-5-23-34</mixed-citation></citation-alternatives></ref><ref id="B8"><label>8.</label><citation-alternatives><mixed-citation xml:lang="en">Sapozhnikov A.I. Features of the emergence of buildings and structures in the event of special natural phenomena. Building Materials, Equipment, Technologies of the 21st Century. 2015;1(192):27‒32. (In Russ.) EDN: THXVEF</mixed-citation><mixed-citation xml:lang="ru">Сапожников А.И. Особенности колебания зданий и сооружений при динамических воздействиях различной природы // Строительные материалы, оборудование, технологии XXI века. 2015. № 1(192). С. 27-32. EDN: THXVEF</mixed-citation></citation-alternatives></ref><ref id="B9"><label>9.</label><citation-alternatives><mixed-citation xml:lang="en">Chen G.Q., Lu J.X., Wu H. Dynamic behavior and retrofitting of RC frame building under vehicular bomb explosion. Engineering Failure Analysis. 2023;143:106925. https://doi.org/10.1016/j.engfailanal.2022.106925</mixed-citation><mixed-citation xml:lang="ru">Chen G.Q., Lu J.X., Wu H. Dynamic behavior and retrofitting of RC frame building under vehicular bomb explosion // Engineering Failure Analysis. 2023. Vol. 143. https://doi.org/10.1016/j.engfailanal.2022.106925</mixed-citation></citation-alternatives></ref><ref id="B10"><label>10.</label><citation-alternatives><mixed-citation xml:lang="en">Santos F. On the dynamic response of a building model equipped with multiple curved-surface sliders. Mechanics Research Communications. 2023;128:104058. https://doi.org/10.1016/j.mechrescom.2023.104058</mixed-citation><mixed-citation xml:lang="ru">Santos F. On the dynamic response of a building model equipped with multiple curved-surface sliders // Mechanics Research Communications. 2023. Vol. 128. https://doi.org/10.1016/j.mechrescom.2023.104058</mixed-citation></citation-alternatives></ref><ref id="B11"><label>11.</label><citation-alternatives><mixed-citation xml:lang="en">Tulebekova S., Malo K. A., Rønnquist A., Nåvik P. Modeling stiffness of connections and non-structural elements for dynamic response of taller glulam timber frame buildings. Engineering Structures. 2022;261:114209. https://doi.org/10.1016/j.engstruct.2022.114209</mixed-citation><mixed-citation xml:lang="ru">Tulebekova S., Malo K.A., Rønnquist A., Nåvik P. Modeling stiffness of connections and non-structural elements for dynamic response of taller glulam timber frame buildings // Engineering Structures. 2022. Vol. 261. https://doi.org/10.1016/j.engstruct.2022.114209</mixed-citation></citation-alternatives></ref><ref id="B12"><label>12.</label><citation-alternatives><mixed-citation xml:lang="en">Kamal M., Inel M., Cayci B.T. Seismic behavior of mid-rise reinforced concrete adjacent buildings considering soil-structure interaction. Journal of Building Engineering. 2022;51:104296. https://doi.org/10.1016/j.jobe.2022.104296.</mixed-citation><mixed-citation xml:lang="ru">Kamal M., Inel M., Cayci B.T. Seismic behavior of mid-rise reinforced concrete adjacent buildings considering soil-structure interaction // Journal of Building Engineering. 2022. Vol. 51. Article 104296. https://doi.org/10.1016/j.jobe.2022.104296.</mixed-citation></citation-alternatives></ref><ref id="B13"><label>13.</label><citation-alternatives><mixed-citation xml:lang="en">Zhi Xu-D., Fan F. and Shen S.-ZH. Failure mechanism of single-layer cylindrical reticulated shells under earthquake motion. International Journal of Structural Stability and Dynamics. 2012;12(02):233‒249. https://doi.org/10.1142/S0219455412500022</mixed-citation><mixed-citation xml:lang="ru">Zhi Xu-D., Fan F., Shen S.-ZH. Failure mechanism of single-layer cylindrical reticulated shells under earthquake motion // International Journal of Structural Stability and Dynamics. 2012. Vol. 12 (02). P. 233-249. https://doi.org/10.1142/S0219455412500022</mixed-citation></citation-alternatives></ref><ref id="B14"><label>14.</label><citation-alternatives><mixed-citation xml:lang="en">Bayraktar A., Hökelekli E., Yang T.T.Y. Seismic failure behavior of masonry domes under strong ground motions. Engineering Failure Analysis. 2022;142:106749. https://doi.org/10.1016/j.engfailanal.2022.106749</mixed-citation><mixed-citation xml:lang="ru">Bayraktar A., Hökelekli E., Yang T.T.Y. Seismic failure behavior of masonry domes under strong ground motions // Engineering Failure Analysis. 2022. Vol. 142. Article 106749. https://doi.org/10.1016/j.engfailanal.2022.106749</mixed-citation></citation-alternatives></ref><ref id="B15"><label>15.</label><citation-alternatives><mixed-citation xml:lang="en">Vasheghani M., Sadeghi J., Ghaffarpour S., Mahmoudi M. Modal based method to predict subway train-induced vibration in buildings. Structures. 2023;47:557‒572. https://doi.org/10.1016/j.istruc.2022.11.092</mixed-citation><mixed-citation xml:lang="ru">Vasheghani M., Sadeghi J., Ghaffarpour S., Mahmoudi M. Modal based method to predict subway train-induced vibration in buildings // Structures. 2023. Vol. 47. P. 557-572. https://doi.org/10.1016/j.istruc. 2022.11.092</mixed-citation></citation-alternatives></ref><ref id="B16"><label>16.</label><citation-alternatives><mixed-citation xml:lang="en">Au S.-K., Zhang F.-L., To P. Field observations on modal properties of two tall buildings under strong wind. Journal of Wind Engineering and Industrial Aerodynamics. 2012;101:12‒23. https://doi.org/10.1016/j.jweia.2011.12.002</mixed-citation><mixed-citation xml:lang="ru">Au S.-K., Zhang F.-L., To P. Field observations on modal properties of two tall buildings under strong wind // Journal of Wind Engineering and Industrial Aerodynamics. 2012. Vol. 101. P. 12-23. https://doi.org/10.1016/j.jweia.2011.12.002</mixed-citation></citation-alternatives></ref><ref id="B17"><label>17.</label><citation-alternatives><mixed-citation xml:lang="en">Au S.-K., Zhang F.-L. On assessing the posterior mode shape uncertainty in ambient modal identification. Probabilistic Engineering Mechanics. 2011;26:427‒434. https://doi.org/10.1016/j.probengmech.2010.11.009</mixed-citation><mixed-citation xml:lang="ru">Au S.-K., Zhang F.-L. On assessing the posterior mode shape uncertainty in ambient modal identification // Probabilistic Engineering Mechanics. 2011. Vol. 26. P. 427-434. https://doi.org/10.1016/j.probengmech.2010.11.009</mixed-citation></citation-alternatives></ref><ref id="B18"><label>18.</label><citation-alternatives><mixed-citation xml:lang="en">Brownjohn J.M.W. Ambient vibration studies for system identification of tall buildings. Earthquake Engineering and Structural Dynamics.2003;32:71‒95.</mixed-citation><mixed-citation xml:lang="ru">Brownjohn J.M.W. Ambient vibration studies for system identification of tall buildings // Earthquake Engineering and Structural Dynamics. 2003. Vol. 32. P. 71-95.</mixed-citation></citation-alternatives></ref><ref id="B19"><label>19.</label><citation-alternatives><mixed-citation xml:lang="en">Tetlak T.B., Gattas J.M., Maluk C. Experimental study on the effects of scale on the static and dynamic behaviour of Glulam and hybrid-Glulam beams. Construction and Building Materials. 2023;369:130563. https://doi.org/10.1016/j.conbuildmat.2023.130563</mixed-citation><mixed-citation xml:lang="ru">Tetlak T.B., Gattas J.M., Maluk C. Experimental study on the effects of scale on the static and dynamic behaviour of Glulam and hybrid-Glulam beams // Construction and Building Materials. 2023. Vol. 369. https://doi.org/10.1016/j.conbuildmat.2023.130563</mixed-citation></citation-alternatives></ref><ref id="B20"><label>20.</label><citation-alternatives><mixed-citation xml:lang="en">Peeters B., Roeck G.D. Stochastic system identification for operational modal analysis: A Review. Journal of Dynamic Systems, Measurement and Control. 2001;123(4):659‒667. https://doi.org/10.1115/1.1410370</mixed-citation><mixed-citation xml:lang="ru">Peeters B., Roeck G.D. Stochastic system identification for operational modal analysis: A Review // Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME. 2001. Vol. 123. Issue 4. P. 659-667. https://doi.org/10.1115/1.1410370</mixed-citation></citation-alternatives></ref><ref id="B21"><label>21.</label><citation-alternatives><mixed-citation xml:lang="en">Azzara R.M., Girardi M., Padovani C., Pellegrini D. Experimental and numerical investigations on the seismic behaviour of the San Frediano bell tower in Lucca. Annals of Geophysics. 2019;62(3):SE342. https://doi.org/10.4401/ ag-8025</mixed-citation><mixed-citation xml:lang="ru">Azzara R.M., Girardi M., Padovani C., Pellegrini D. Experimental and numerical investigations on the seismic behaviour of the San Frediano bell tower in Lucca // Annals of Geophysics. 2019. Vol. 62. No. 3. https://www. annalsofgeophysics.eu/index.php/annals/article/view/8025</mixed-citation></citation-alternatives></ref><ref id="B22"><label>22.</label><citation-alternatives><mixed-citation xml:lang="en">Ashayeri I., Biglari M., Formisano A., D’Amatoc M. Ambient vibration testing and empirical relation for natural period of historical mosques. Case study of eight mosques in Kermanshah, Iran. Construction and Building Materials. 2021;289:123191. https://doi.org/10.1016/j.conbuildmat.2021.123191</mixed-citation><mixed-citation xml:lang="ru">Ashayeri I., Biglari M., Formisano A., D’Amatoc M. Ambient vibration testing and empirical relation for natural period of historical mosques. Case study of eight mosques in Kermanshah, Iran // Construction and Building Materials. 2021. Vol. 289. Article 123191. https://doi.org/10.1016/j.conbuildmat.2021.123191</mixed-citation></citation-alternatives></ref><ref id="B23"><label>23.</label><citation-alternatives><mixed-citation xml:lang="en">Cavalieri F., Correia A.A., Crowley H., Pinho R. Seismic fragility analysis of URM buildings founded on piles: influence of dynamic soil-structure interaction models. Bulletin of Earthquake Engineering. 2020;18:4127–4156. https:// doi.org/10.1007/s10518-020-00853-9</mixed-citation><mixed-citation xml:lang="ru">Cavalieri F., Correia A.A., Crowley H., Pinho R. Seismic fragility analysis of URM buildings founded on piles: influence of dynamic soil-structure interaction models // Bulletin of Earthquake Engineering. 2020. Vol. 18. P. 4127-4156. https://doi.org/10.1007/s10518-020-00853-9</mixed-citation></citation-alternatives></ref><ref id="B24"><label>24.</label><citation-alternatives><mixed-citation xml:lang="en">Sutyrin V.I., Kuzhakhmetova E.R., Shinkarenko I.A. Patent of the Russia No. 184 676. Device for determining the damping coefficient of bulk materials and liquids. 2018;(31).</mixed-citation><mixed-citation xml:lang="ru">Сутырин В.И., Кужахметова Э.Р., Шинкаренко И.А. Устройство для определения коэффициента демпфирования сыпучих материалов и жидкостей // Патент РФ № 184676. 2018. Бюл. № 31. 7 с.</mixed-citation></citation-alternatives></ref><ref id="B25"><label>25.</label><citation-alternatives><mixed-citation xml:lang="en">Sutyrin V.I., Kuzhakhmetova E.R. Patent of the Russia No. 2 646 540. Experimental setup (stand) for studying the multifactorial dependence of the damping coefficient of a pile when interacting with soil.2018;(7):9.</mixed-citation><mixed-citation xml:lang="ru">Сутырин В.И., Кужахметова Э.Р. Экспериментальная установка (стенд) для изучения многофакторной зависимости коэффициента демпфирования сваи при взаимодействии с грунтом. Патент РФ № 2646540. Бюл. № 7. 9 с.</mixed-citation></citation-alternatives></ref><ref id="B26"><label>26.</label><citation-alternatives><mixed-citation xml:lang="en">Kuzhakhmetova E.R., Sutyrin V.I., Shinkarenko I.A. Patent of the Russia No. 2 699 311. Method for determining damping characteristics of liquids and bulk materials. 2019;(25):11.</mixed-citation><mixed-citation xml:lang="ru">Кужахметова Э.Р., Сутырин В.И., Шинкаренко И.А. Способ определения демпфирующих характеристик жидкостей и сыпучих материалов. Патент РФ № 2699311. 2019. Бюл. № 25. 11с.</mixed-citation></citation-alternatives></ref><ref id="B27"><label>27.</label><citation-alternatives><mixed-citation xml:lang="en">Sutyrin V.I., Shinkarenko I.A., Kuzhakhmetova E.R. Experimental stand for determining the damping properties of materials. Izvestiya KSTU. 2019;(52):177‒183. (In Russ.)</mixed-citation><mixed-citation xml:lang="ru">Сутырин В.И., Шинкаренко И.А., Кужахметова Э.Р. Экспериментальный стенд для определения демпфирующих свойств материалов // Известия КГТУ. 2019. № 52. С. 177-183.</mixed-citation></citation-alternatives></ref><ref id="B28"><label>28.</label><citation-alternatives><mixed-citation xml:lang="en">Sutyrin V.I., Kuzhakhmetova E.R., Shinkarenko I.A. Experimental determination of soil damping coefficients. Soil Mechanics and Foundation Engineering. 2022;(4):19‒25. (In Russ.) EDN: PSFNPB</mixed-citation><mixed-citation xml:lang="ru">Сутырин В.И., Кужахметова Э.Р., Шинкаренко И.А. Экспериментальное определение коэффициентов демпфирования грунтов // Основания, фундаменты и механика грунтов. 2022. № 4. С. 19-25. EDN: PSFNPB</mixed-citation></citation-alternatives></ref><ref id="B29"><label>29.</label><citation-alternatives><mixed-citation xml:lang="en">Sutyrin V.I., Kuzhakhmetova E.R., Shinkarenko I.A. Experimental determination of soil damping coefficients. Soil Mechanics and Foundation Engineering. 2022;59:362–370. https://doi.org/10.1007/s11204-022-09823-6</mixed-citation><mixed-citation xml:lang="ru">Sutyrin V.I., Kuzhakhmetova E.R., Shinkarenko I.A. Experimental Determination of Soil Damping Coefficients // Soil Mech. Found. Eng. 2022. Vol. 59. P. 362-370. https://doi.org/10.1007/s11204-022-09823-6</mixed-citation></citation-alternatives></ref><ref id="B30"><label>30.</label><citation-alternatives><mixed-citation xml:lang="en">Kuzhakhmetova E.R., Sutyrin V.I. Influence of the soil base on the stress-strain state of a large — span building with a cylinder-and-slab roof. Structural Mechanics of Engineering Constructions and Buildings. 2022;18(5):444–457. (In Russ.) http://doi.org/10.22363/1815-5235-2022-18-5-444-457.</mixed-citation><mixed-citation xml:lang="ru">Кужахметова Э.Р. Сутырин В.И. Влияние грунтового основания на напряженно-деформированное состояние большепролетного здания с цилиндро-плитным // Строительная механика инженерных конструкций и сооружений. 2022. Т. 18. № 5. С. 444-457. http://doi.org/10.22363/1815-5235-2022-18-5-444-457.</mixed-citation></citation-alternatives></ref><ref id="B31"><label>31.</label><citation-alternatives><mixed-citation xml:lang="en">Kuzhakhmetova E.R., Sutyrin V.I. Modal analysis of a large-span building with different boundary conditions. Structural Mechanics of Engineering Constructions and Buildings. 2023;19(1):17–34. (In Russ.) http://doi.org/10.22363/1815-5235-2023-19-1-17-34.</mixed-citation><mixed-citation xml:lang="ru">Кужахметова Э.Р., Сутырин В.И. Модальный анализ большепролетного здания с разными граничными условиями // Строительная механика инженерных конструкций и сооружений. 2023. Т. 19. № 1. С. 17-34. http://doi. org/10.22363/1815-5235-2023-19-1-17-34.</mixed-citation></citation-alternatives></ref><ref id="B32"><label>32.</label><citation-alternatives><mixed-citation xml:lang="en">Kuzhakhmetova E.R. Constructive solutions of guys location in cylindrical-slab-guy covering of building (construction). Bulletin of BSTU named after V.G. Shukhov. 2019;(5):77–89. (In Russ.) http://doi.org/10.34031/article_5ce292ca24bc23.91006970</mixed-citation><mixed-citation xml:lang="ru">Кужахметова Э.Р. Конструктивные решения расположения вант в цилиндро-плитно-вантовом (ЦПВ) покрытии здания (сооружения) // Вестник БГТУ имени В.Г. Шухова. 2019. № 5. С. 77-89. http://doi.org/10.34031/ article_5ce292ca24bc23.91006970</mixed-citation></citation-alternatives></ref><ref id="B33"><label>33.</label><citation-alternatives><mixed-citation xml:lang="en">Kuzhakhmetova E.R. Stress-strain state cylinder-plate-cable-stayed roof buildings (structures) with various forms of external support contour. Structural Mechanics of Engineering Constructions and Buildings. 2020;16(2):95–110. (In Russ.) http://doi.org/10.22363/1815-5235-2020-16-2-95-110</mixed-citation><mixed-citation xml:lang="ru">Кужахметова Э.Р. Напряженно-деформированное состояние цилиндро-плитно-вантового покрытия здания (сооружения) с различными формами наружного опорного контура // Строительная механика инженерных конструкций и сооружений. 2020. Т. 16. № 2. С. 95-110. http://doi.org/10.22363/1815-5235-2020-16-2-95-110</mixed-citation></citation-alternatives></ref><ref id="B34"><label>34.</label><citation-alternatives><mixed-citation xml:lang="en">Zienkiewich O.C. The finite element method in engineering science. Moscow: Mir Publ.; 1975. (In Russ.)</mixed-citation><mixed-citation xml:lang="ru">Зенкевич О.К. Метод конечных элементов в технике. М.: Изд-во «Мир», 1975. 540 c.</mixed-citation></citation-alternatives></ref><ref id="B35"><label>35.</label><citation-alternatives><mixed-citation xml:lang="en">Strang G., Fix G.J. The finite element method in one dimension. An analysis of the finite element method. Englewood Cliffs; 1973. P. 51–62.</mixed-citation><mixed-citation xml:lang="ru">Strang G., Fix G.J. The finite element method in one dimension. An analysis of the finite element method. Englewood Cliffs, 1973. P. 51-62.</mixed-citation></citation-alternatives></ref><ref id="B36"><label>36.</label><citation-alternatives><mixed-citation xml:lang="en">Rychkov S.P. Structural modeling in Femap with NX Nastran. Moscow: DMK Press; 2013. (In Russ.)</mixed-citation><mixed-citation xml:lang="ru">Рычков С.П. Моделирование конструкций в среде Femap with NX Nastran. М.: ДМК Пресс, 2013. 784 с.</mixed-citation></citation-alternatives></ref><ref id="B37"><label>37.</label><citation-alternatives><mixed-citation xml:lang="en">Shimkovich D.G. Structural analysis in MSC/NASTRAN for Windows. Moscow: DMK Press; 2003. (In Russ.)</mixed-citation><mixed-citation xml:lang="ru">Шимкович Д.Г. Расчет конструкций в MSC/NASTRAN for Windows. М.: ДМК Пресс, 2003. 448 с.</mixed-citation></citation-alternatives></ref><ref id="B38"><label>38.</label><citation-alternatives><mixed-citation xml:lang="en">Fox R.L., Kapoor M.P. Rates of Change of Eigenvalues and Eigenvectors. AIAA Journal. 1968;6(12):2426‒2429. https://doi.org/10.2514/3.5008</mixed-citation><mixed-citation xml:lang="ru">Fox R.L., Kapoor M.P. Rates of Change of Eigenvalues and Eigenvectors // AIAA Journal. 1968. Vol. 6 (12). P. 2426-2429. doi:10.2514/3.5008</mixed-citation></citation-alternatives></ref><ref id="B39"><label>39.</label><citation-alternatives><mixed-citation xml:lang="en">Ahmadi E., Khoshnoudian F., Hosseini M. Importance of soil material damping in seismic responses of soil-MDOF structure systems. Soils and Foundations. 2015;55:35‒44. https://doi.org/10.1016/j.sandf.2014.12.003</mixed-citation><mixed-citation xml:lang="ru">Ahmadi E., Khoshnoudian F., Hosseini M. Importance of soil material damping in seismic responses of soil-MDOF structure systems // Soils and Foundations. 2015. Vol. 55. P. 35-44. https://doi.org/10.1016/j.sandf.2014.12.003</mixed-citation></citation-alternatives></ref><ref id="B40"><label>40.</label><citation-alternatives><mixed-citation xml:lang="en">Zhang Z., Wei H., Qin X. Experimental study on damping characteristics of soil-structure interaction system based on shaking table test. Soil Dynamics and Earthquake Engineering. 2017;98:183‒190. https://doi.org/10.1016/j.soildyn. 2017.04.002</mixed-citation><mixed-citation xml:lang="ru">Zhang Z., Wei H., Qin X. Experimental study on damping characteristics of soil-structure interaction system based on shaking table test // Soil Dynamics and Earthquake Engineering. 2017. Vol. 98. P. 183-190. https://doi.org/10.1016/j.soildyn.2017.04.002</mixed-citation></citation-alternatives></ref><ref id="B41"><label>41.</label><citation-alternatives><mixed-citation xml:lang="en">Lu Y., Hajirasouliha I., Marshall A.M. Performance-based Seismic Design of Flexible-Base Multi-Storey Buildings Considering Soil-Structure Interaction. Engineering Structures. 2016;108:90‒103. https://doi.org/10.1016/j.engstruct. 2015.11.031</mixed-citation><mixed-citation xml:lang="ru">Lu Y., Hajirasouliha I., Marshall A.M. Performance-based Seismic Design of Flexible-Base Multi-Storey Buildings Considering Soil-Structure Interaction // Engineering Structures. 2016. Vol. 108. P. 90-103. https://doi.org/10.1016/j.engstruct.2015.11.031</mixed-citation></citation-alternatives></ref><ref id="B42"><label>42.</label><citation-alternatives><mixed-citation xml:lang="en">Mason H.B., Trombetta N.W., Chen Z., Bray J.D., Hutchinson T.C., Kutter B.L. Seismic soil–foundation–structure interaction observed in geotechnical centrifuge experiments. Soil Dynamics and Earthquake Engineering. 2013;48:162‒174. https://doi.org/10.1016/j.soildyn.2013.01.014</mixed-citation><mixed-citation xml:lang="ru">Mason H.B., Trombetta N.W., Chen Z., Bray J.D., Hutchinson T.C., Kutter B.L. Seismic soil-foundation-structure interaction observed in geotechnical centrifuge experiments // Soil Dynamics and Earthquake Engineering. 2013. Vol. 48. P.162-174. https://doi.org/10.1016/j.soildyn.2013.01.014</mixed-citation></citation-alternatives></ref><ref id="B43"><label>43.</label><citation-alternatives><mixed-citation xml:lang="en">Nazarimofrad E., Zahrai S.M. Fuzzy control of asymmetric plan buildings with active tuned mass damper considering soil-structure interaction. Soil Dynamics and Earthquake Engineering. 2018;115:838‒852. https://doi.org/ 10.1016/j.soildyn.2017.09.020</mixed-citation><mixed-citation xml:lang="ru">Nazarimofrad E., Zahrai S.M. Fuzzy control of asymmetric plan buildings with active tuned mass damper considering soil-structure interaction // Soil Dynamics and Earthquake Engineering. 2018. Vol. 115. P. 838-852. https://doi.org/10.1016/j.soildyn.2017.09.020</mixed-citation></citation-alternatives></ref><ref id="B44"><label>44.</label><citation-alternatives><mixed-citation xml:lang="en">Arboleda-Monsalve L.G., Mercado J.A., Terzic V., Mackie K.R. Soil-structure interaction effects on seismic performance and earthquake-induced losses in tall buildings. Journal of Geotechnical and Geoenvironmental Engineering. 2020;146(5):04020028. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002248</mixed-citation><mixed-citation xml:lang="ru">Arboleda-Monsalve L.G., Mercado J.A., Terzic V., Mackie K.R. Soil-structure interaction effects on seismic performance and earthquake-induced losses in tall buildings // Journal of Geotechnical and Geoenvironmental Engineering. 2020. Vol. 146 (5). https://doi.org/10.1061/(ASCE)GT.1943-5606.0002248</mixed-citation></citation-alternatives></ref><ref id="B45"><label>45.</label><citation-alternatives><mixed-citation xml:lang="en">Sarcheshmehpour M., Estekanchi H. E., Ghannad M. A. Optimum placement of supplementary viscous dampers for seismic rehabilitation of steel frames considering soil–structure interaction. Structural Design of Tall and Special Buildings. 2020;29(1):e1682. https://doi.org/10.1002/tal.1682</mixed-citation><mixed-citation xml:lang="ru">Sarcheshmehpour M., Estekanchi H.E., Ghannad M.A. Optimum placement of supplementary viscous dampers for seismic rehabilitation of steel frames considering soil-structure interaction // Structural Design of Tall and Special Buildings. 2020. Vol. 29 (1). https://doi.org/10.1002/tal.1682.</mixed-citation></citation-alternatives></ref><ref id="B46"><label>46.</label><citation-alternatives><mixed-citation xml:lang="en">Aydin E., Ozturk B., Bogdanovic A., Farsangi E.N. Influence of soil-structure interaction (SSI) on optimal design of passive damping devices. Structures. 2020;28:847‒862. https://doi.org/10.1016/j.istruc.2020.09.028</mixed-citation><mixed-citation xml:lang="ru">Aydin E., Ozturk B., Bogdanovic A., Farsangi E.N. Influence of soil-structure interaction (SSI) on optimal design of passive damping devices // Structures. 2020. Vol. 28. P. 847-862. https://doi.org/10.1016/j.istruc.2020.09.028</mixed-citation></citation-alternatives></ref><ref id="B47"><label>47.</label><citation-alternatives><mixed-citation xml:lang="en">Aydin E., Ozturk B., Dutkiewicz M. Analysis of efficiency of passive dampers in multistorey buildings. Journal of Sound and Vibration. 2019;439:17‒28. https://doi.org/10.1016/j.jsv.2018.09.031</mixed-citation><mixed-citation xml:lang="ru">Aydin E., Ozturk B., Dutkiewicz M. Analysis of efficiency of passive dampers in multistorey buildings // Journal of Sound and Vibration. 2019. Vol. 439. P.17-28. https://doi.org/10.1016/j.jsv.2018.09.031</mixed-citation></citation-alternatives></ref><ref id="B48"><label>48.</label><citation-alternatives><mixed-citation xml:lang="en">Wu Q., Ding X., Zhang Ya., Chen Z., Zhang Y. Numerical simulations on seismic response of soil-pile-superstructure in coral sand. Ocean Engineering. 2021;239:109808. https://doi.org/10.1016/j.oceaneng.2021.109808</mixed-citation><mixed-citation xml:lang="ru">Wu Q., Ding X., Zhang Ya., Chen Z., Zhang Y. Numerical simulations on seismic response of soil-pile-superstructure in coral sand // Ocean Engineering. 2021. Vol. 239. Article 109808. https://doi.org/10.1016/j.oceaneng.2021. 109808</mixed-citation></citation-alternatives></ref><ref id="B49"><label>49.</label><citation-alternatives><mixed-citation xml:lang="en">Ferdosi B., James M., Aubertin M. Effect of waste rock inclusions on the seismic stability of an upstream raised tailings impoundment: a numerical investigation. Canadian Geotechnical Journal. 2015;52(12):1930‒1944. https:// doi.org/10.1139/cgj-2014-044</mixed-citation><mixed-citation xml:lang="ru">Ferdosi B., James M., Aubertin M. Effect of waste rock inclusions on the seismic stability of an upstream raised tailings impoundment: a numerical investigation // Canadian Geotechnical Journal. 2015. Vol. 52 (12). P. 1930-1944. https://doi.org/10.1139/cgj-2014-044</mixed-citation></citation-alternatives></ref><ref id="B50"><label>50.</label><citation-alternatives><mixed-citation xml:lang="en">Murao H., Nakai K., Noda T., Yoshikawa T. Deformation-failure mechanism of saturated fill slopes due to resonance phenomena based on 1g shaking-table tests. Canadian Geotechnical Journal. 2018;55(11):1668‒1681. https:// doi.org/10.1139/cgj-2017-0385</mixed-citation><mixed-citation xml:lang="ru">Murao H., Nakai K., Noda T., Yoshikawa T. Deformation-failure mechanism of saturated fill slopes due to resonance phenomena based on 1g shaking-table tests // Canadian Geotechnical Journal. 2018. Vol. 55 (11). P. 1668-1681. https://doi.org/10.1139/cgj-2017-0385</mixed-citation></citation-alternatives></ref><ref id="B51"><label>51.</label><citation-alternatives><mixed-citation xml:lang="en">Nakai K., Noda T., Kato K. Seismic assessment of sheet pile reinforcement effect on river embankments constructed on a soft foundation ground including soft estuarine clay. Canadian Geotechnical Journal. 2017;54(10):1375‒ 1396. https://doi.org/10.1139/cgj2016-0019</mixed-citation><mixed-citation xml:lang="ru">Nakai K., Noda T., Kato K. Seismic assessment of sheet pile reinforcement effect on river embankments constructed on a soft foundation ground including soft estuarine clay // Canadian Geotechnical Journal. 2017. Vol. 54 (10). P. 1375-1396. https://doi.org/10.1139/cgj2016-0019</mixed-citation></citation-alternatives></ref><ref id="B52"><label>52.</label><citation-alternatives><mixed-citation xml:lang="en">Yazdandoust M. Seismic performance of soil-nailed walls using a 1g shaking table. Canadian Geotechnical Journal. 2017;55(1):1‒18. https://doi.org/10.1139/cgj-2016-0358</mixed-citation><mixed-citation xml:lang="ru">Yazdandoust M. Seismic performance of soil-nailed walls using a 1g shaking table // Canadian Geotechnical Journal. 2017. Vol. 55 (1). P. 1-18. https://doi.org/10.1139/cgj-2016-0358</mixed-citation></citation-alternatives></ref><ref id="B53"><label>53.</label><citation-alternatives><mixed-citation xml:lang="en">Uzdin A. M, Frolova E. D. On the Experimental Determination of Soil Damping Coefficients. Soil Mechanics and Foundation Engineering. 2022;59(4):371–375. https://doi.org/10.1007/s11204-022-09824-5</mixed-citation><mixed-citation xml:lang="ru">Uzdin A.M, Frolova E.D. On the Experimental Determination of Soil Damping Coefficients // Soil Mechanics and Foundation Engineering. 2022. Vol. 59 (4). P. 371-375</mixed-citation></citation-alternatives></ref><ref id="B54"><label>54.</label><citation-alternatives><mixed-citation xml:lang="en">Bogdanovic A., Rakicevic Z., Farsangi E. N. Shake table tests and numerical investigation of a resilient damping device for seismic response control of building structures. Structural Control and Health Monitoring. 2019;26(11). https://doi.org/10.1002/stc.2443</mixed-citation><mixed-citation xml:lang="ru">Bogdanovic A., Rakicevic Z., Farsangi E.N. Shake table tests and numerical investigation of a resilient damping device for seismic response control of building structures // Structural Control and Health Monitoring. 2019. Vol. 26 (11). https://doi.org/10.1002/stc.2443</mixed-citation></citation-alternatives></ref><ref id="B55"><label>55.</label><citation-alternatives><mixed-citation xml:lang="en">Chatterjee K., Choudhury D., Poulos H.G. Seismic analysis of laterally loaded pile under influence of vertical loading using finite element method. Computers and Geotechnics. 2015;67:172‒186. https://doi.org/10.1016/j.compgeo. 2015.03.004</mixed-citation><mixed-citation xml:lang="ru">Chatterjee K., Choudhury D., Poulos H.G. Seismic analysis of laterally loaded pile under influence of vertical loading using finite element method // Computers and Geotechnics. 2015. Vol. 67. P. 172-186. https://doi.org/10.1016/j.compgeo.2015.03.004</mixed-citation></citation-alternatives></ref><ref id="B56"><label>56.</label><citation-alternatives><mixed-citation xml:lang="en">Chiou J.-S., Hung W.-Y., Lee Y.-T., Young Z.-H. Combined dynamic structure-pile-soil interaction analysis considering inertial and kinematic effects. Computers and Geotechnics. 2020;125:103671. https://doi.org/10.1016/ j.compgeo.2020.103671</mixed-citation><mixed-citation xml:lang="ru">Chiou J.-S., Hung W.-Y., Lee Y.-T., Young Z.-H. Combined dynamic structure-pile-soil interaction analysis considering inertial and kinematic effects // Computers and Geotechnics. 2020. Vol. 125. https://doi.org/10.1016/j.compgeo.2020.103671</mixed-citation></citation-alternatives></ref><ref id="B57"><label>57.</label><citation-alternatives><mixed-citation xml:lang="en">Le Y., Wang N., Hu W., Geng D., Jiang Y. Torsional dynamic impedance of a stepped pile based on the wedged soil model. Computers and Geotechnics. 2020;128:103854. https://doi.org/10.1016/j.compgeo.2020.103854</mixed-citation><mixed-citation xml:lang="ru">Le Y., Wang N., Hu W., Geng D., Jiang Y. Torsional dynamic impedance of a stepped pile based on the wedged soil model // Computers and Geotechnics. 2020. Vol. 128. https://doi.org/10.1016/j.compgeo.2020.103854</mixed-citation></citation-alternatives></ref><ref id="B58"><label>58.</label><citation-alternatives><mixed-citation xml:lang="en">Ferdosi B., James M., Aubertin M. Numerical simulations of seismic and post-seismic behavior of tailings. Canadian Geotechnical Journal. 2015;53(1):85‒92. https://doi.org/10.1139/cgj-2014-0345</mixed-citation><mixed-citation xml:lang="ru">Ferdosi B., James M., Aubertin M. Numerical simulations of seismic and post-seismic behavior of tailings // Canadian Geotechnical Journal. 2015. Vol. 53 (1). P. 85-92. https://doi.org/10.1139/cgj-2014-0345</mixed-citation></citation-alternatives></ref><ref id="B59"><label>59.</label><citation-alternatives><mixed-citation xml:lang="en">Hasheminezhad A., Bahadori H. Seismic response of shallow foundations over liquefiable soils improved by deep soil mixing columns. Computers and Geotechnics. 2019;110:251‒273. https://doi.org/10.1016/j.compgeo.2019.02.019</mixed-citation><mixed-citation xml:lang="ru">Hasheminezhad A., Bahadori H. Seismic response of shallow foundations over liquefiable soils improved by deep soil mixing columns // Computers and Geotechnics. 2019. Vol. 110. P. 251-273. https://doi.org/10.1016/j.compgeo.2019.02.019</mixed-citation></citation-alternatives></ref><ref id="B60"><label>60.</label><citation-alternatives><mixed-citation xml:lang="en">He B., Zhang J.-M., Wang W., Li R. Numerical analysis of LEAP centrifuge tests on sloping liquefiable ground: influence of dilatancy and post-liquefaction shear deformation. Soil Dynamics and Earthquake Engineering. 2020; 137:106288. https://doi.org/10.1016/j.soildyn.2020.106288</mixed-citation><mixed-citation xml:lang="ru">He B., Zhang J.-M., Wang W.Li, R. Numerical analysis of LEAP centrifuge tests on sloping liquefiable ground: influence of dilatancy and post-liquefaction shear deformation // Soil Dynamics and Earthquake Engineering. 2020. Vol. 137. https://doi.org/10.1016/j.soildyn.2020.106288</mixed-citation></citation-alternatives></ref><ref id="B61"><label>61.</label><citation-alternatives><mixed-citation xml:lang="en">Lim H., Jeong S. Effect of bedrock acceleration on dynamic and pseudo-static analyses of soil-pile systems, Computers and Geotechnics. 2020;126:103657. https://doi.org/10.1016/j.compgeo.2020.103657</mixed-citation><mixed-citation xml:lang="ru">Lim H., Jeong S. Effect of bedrock acceleration on dynamic and pseudo-static analyses of soil-pile systems // Computers and Geotechnics. 2020. Vol. 126. https://doi.org/10.1016/j.compgeo.2020.103657</mixed-citation></citation-alternatives></ref><ref id="B62"><label>62.</label><citation-alternatives><mixed-citation xml:lang="en">Zou Y.X., Zhang J. M., Wang R. Seismic analysis of stone column improved liquefiable ground using a plasticity model for coarse-grained soil. Computers and Geotechnics.2020;125:103690. https://doi.org/10.1016/j.compgeo.2020. 103690</mixed-citation><mixed-citation xml:lang="ru">Zou Y. X., Zhang J. M., Wang R. Seismic analysis of stone column improved liquefiable ground using a plasticity model for coarse-grained soil // Computers and Geotechnics. 2020. Vol. 125. https://doi.org/10.1016/j.compgeo.2020. 103690</mixed-citation></citation-alternatives></ref><ref id="B63"><label>63.</label><citation-alternatives><mixed-citation xml:lang="en">Hu X., Zhang R., Ren X., Pan C., Zhang X., Li H. Simplified design method for structure with viscous damper based on the specified damping distribution pattern. Journal of Earthquake Engineering. 2020;26(3):1367‒1387. https:// doi.org/10.1080/13632469.2020.1719239</mixed-citation><mixed-citation xml:lang="ru">Hu X., Zhang R., Ren X., Pan C., Zhang X., Li H. Simplified design method for structure with viscous damper based on the specified damping distribution pattern // Journal of Earthquake Engineering. 2020. Vol. 26 (3). P. 1367-1387. https://doi.org/10.1080/13632469.2020.1719239</mixed-citation></citation-alternatives></ref><ref id="B64"><label>64.</label><citation-alternatives><mixed-citation xml:lang="en">Kuzhakhmetova E.R., Sutyrin V.I. Study of the strength of a reinforced concrete cylindrical shell in a large span building (structure) with a cylinder-slab-cable-stayed roof. AIP Conference Proceedings 2497: Proceedings of the ii scientific conference “Modelling and methods of structural analysis”; 2021, 11–13 November; Moscow. Russian Federation 2023. Article 020058. https://doi.org/10.1063/5.0103610</mixed-citation><mixed-citation xml:lang="ru">Kuzhakhmetova E.R., Sutyrin V.I. Study of the strength of a reinforced concrete cylindrical shell in a large span building (structure) with a cylinder-slab-cable-stayed roof // AIP Conference Proceedings 2497: Proceedings of the ii scientific conference “Modelling and methods of structural analysis”; 2021, 11-13 November; Moscow. Russian Federation 2023. https://doi.org/10.1063/5.0103610</mixed-citation></citation-alternatives></ref></ref-list></back></article>
