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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Structural Mechanics of Engineering Constructions and Buildings</journal-id><journal-title-group><journal-title xml:lang="en">Structural Mechanics of Engineering Constructions and Buildings</journal-title><trans-title-group xml:lang="ru"><trans-title>Строительная механика инженерных конструкций и сооружений</trans-title></trans-title-group></journal-title-group><issn publication-format="print">1815-5235</issn><issn publication-format="electronic">2587-8700</issn><publisher><publisher-name xml:lang="en">Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">43688</article-id><article-id pub-id-type="doi">10.22363/1815-5235-2024-20-6-613-627</article-id><article-id pub-id-type="edn">DNPMBH</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Seismic resistence</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Сейсмостойкость 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">Energy-Based Evaluation of Dynamic Soil-Structure Interaction Process Under Seismic Impact from Explosion</article-title><trans-title-group xml:lang="ru"><trans-title>Энергетическая оценка процесса взаимодействия в динамической системе «грунт - сооружение» при сейсмовзрывных воздействиях</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6285-2063</contrib-id><name-alternatives><name xml:lang="en"><surname>Rakhmonov</surname><given-names>Bakhodir S.</given-names></name><name xml:lang="ru"><surname>Рахмонов</surname><given-names>Баходир Собирович</given-names></name></name-alternatives><bio xml:lang="en"><p>Doctor of Technical Sciences, Professor of the Department of Construction</p></bio><bio xml:lang="ru"><p>доктор технических наук, профессор кафедры строительства</p></bio><email>rah-bahodir@yandex.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Sagdiev</surname><given-names>Khamidulla S.</given-names></name><name xml:lang="ru"><surname>Сагдиев</surname><given-names>Хамидулла Сагдиевич</given-names></name></name-alternatives><bio xml:lang="en">Candidate of Technical Sciences, leading researcher at the Laboratory of Experimental Studies of Structural Strength and Seismic Resistance of Structures</bio><bio xml:lang="ru">кандидат технических наук, ведущий научный сотрудник лаборатории экспериментальных исследований прочности конструкций и сейсмостойкости сооружений</bio><email>imssan@mail.ru</email><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8787-826X</contrib-id><contrib-id contrib-id-type="spin">9467-5034</contrib-id><name-alternatives><name xml:lang="en"><surname>Ter-Martirosyan</surname><given-names>Armen Z.</given-names></name><name xml:lang="ru"><surname>Тер-Мартиросян</surname><given-names>Армен Завенович</given-names></name></name-alternatives><bio xml:lang="en"><p>Doctor of Technical Sciences, Professor of the Department of Soil Mechanics and Geotechnics, Vice Rector</p></bio><bio xml:lang="ru"><p>доктор технических наук, профессор кафедры механики грунтов и геотехники, проректор</p></bio><email>gic-mgsu@mail.ru</email><xref ref-type="aff" rid="aff3"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6193-0928</contrib-id><contrib-id contrib-id-type="spin">1454-1154</contrib-id><name-alternatives><name xml:lang="en"><surname>Mirsayapov</surname><given-names>Ilizar T.</given-names></name><name xml:lang="ru"><surname>Мирсаяпов</surname><given-names>Илизар Талгатович</given-names></name></name-alternatives><bio xml:lang="en"><p>Corresponding Member of RAASN, Doctor of Technical Sciences, Head of the Department of Foundations, Structural Dynamics and Engineering Geology</p></bio><bio xml:lang="ru"><p>член-корреспондент РААСН, доктор технических наук, заведующий кафедрой оснований, фундаментов, динамики сооружений и инженерной геологии</p></bio><email>mirsayapov1@mail.ru</email><xref ref-type="aff" rid="aff4"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8407-8144</contrib-id><contrib-id contrib-id-type="spin">4425-5045</contrib-id><name-alternatives><name xml:lang="en"><surname>Erofeev</surname><given-names>Vladimir T.</given-names></name><name xml:lang="ru"><surname>Ерофеев</surname><given-names>Владимир Трофимович</given-names></name></name-alternatives><bio xml:lang="en"><p>Academician of RAASN, Doctor of Technical Sciences, Professor of the Department of Building Materials Science</p></bio><bio xml:lang="ru"><p>академик РААСН, доктор технических наук, профессор кафедры строительного материаловедения</p></bio><email>rofeevvt@bk.ru</email><xref ref-type="aff" rid="aff3"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Urgench State University</institution></aff><aff><institution xml:lang="ru">Ургенчский государственный университет</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">M.T. Urazbayev Institute of Mechanics and Seismic Resistance of Structures of the Academy of Sciences of the Republic of Uzbekistan</institution></aff><aff><institution xml:lang="ru">Институт механики и сейсмостойкости сооружений им. М.Т. Уразбаева АН РУз</institution></aff></aff-alternatives><aff-alternatives id="aff3"><aff><institution xml:lang="en">Moscow State University of Civil Engineering (National Research University)</institution></aff><aff><institution xml:lang="ru">Национальный исследовательский Московский государственный строительный университет</institution></aff></aff-alternatives><aff-alternatives id="aff4"><aff><institution xml:lang="en">Kazan State University of Architecture and Civil Engineering</institution></aff><aff><institution xml:lang="ru">Казанский государственный архитектурно-строительный университет</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2024-12-31" publication-format="electronic"><day>31</day><month>12</month><year>2024</year></pub-date><volume>20</volume><issue>6</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>613</fpage><lpage>627</lpage><history><date date-type="received" iso-8601-date="2025-04-06"><day>06</day><month>04</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2024, Rakhmonov B.S., Sagdiev K.S., Ter-Martirosyan A.Z., Mirsayapov I.T., Erofeev V.T.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2024, Рахмонов Б.С., Сагдиев Х.С., Тер-Мартиросян А.З., Мирсаяпов И.Т., Ерофеев В.Т.</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="en">Rakhmonov B.S., Sagdiev K.S., Ter-Martirosyan A.Z., Mirsayapov I.T., Erofeev V.T.</copyright-holder><copyright-holder xml:lang="ru">Рахмонов Б.С., Сагдиев Х.С., Тер-Мартиросян А.З., Мирсаяпов И.Т., Ерофеев В.Т.</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/43688">https://journals.rudn.ru/structural-mechanics/article/view/43688</self-uri><abstract xml:lang="en"><p>This study presents the results of instrumental observations of the interaction process of an underground structure with the soil environment under explosion-induced seismic impact. During seismic impact, the soil imparts kinetic energy to underground structures, the value of which depends on the contact area of the structure and the soil and the conditions of interaction. In this regard, the energy-based evaluation of the process of joint vibration of the underground structure and the environment under explosive seismic waves is of great significance. The analysis of energy release in terms of frequencies shows that the energy of seismic radiation at different frequencies of the spectrum is not the same, and there is a well-defined maximum in the energy spectrum at small equivalent distances, i.e. at a certain frequency value much more energy is released than at other frequencies. Mathematical expressions are provided for calculating the total energy of ground vibrations, estimated proportion of energy propagating in the soil, and the energy received by the underground structure during their interaction. A formula is proposed for calculating a dimensionless coefficient of the vibration process, indicating the share of energy transmitted through the soil to the underground structures. Three zones are identified that characterize the relationships of the forces of interaction in the contact area. The first is the zone with a linear relationship between the force and the deflection of the structure. Then, in the next zone, the proportionality between the values is violated with the loss of the elastic nature of the interaction. In the third zone, the underground structure slides relative to the ground. Aspects of the interaction of a thin-walled structure with the soil are considered. Calculations show that the obtained relationships can be used with sufficient accuracy to evaluate the seismic intensity of explosive seismic waves.</p></abstract><trans-abstract xml:lang="ru"><p>Приведены результаты инструментальных наблюдений по исследованию процесса взаимодействия подземного сооружения с грунтовой средой, при сейсмовзрывных воздействиях. При сейсмических воздействиях грунт сообщает подземным сооружениям кинетическую энергию, величина которой зависит от площади контакта сооружения и грунта, условий взаимодействия. В этой связи большое значение имеет энергетическая оценка процесса совместного колебания подземного сооружения и среды при действии сейсмовзрывных волн. Приведены дискретные спектры энерговыделений на разных частотах, построенные на основе экспериментально полученных результатов. Анализ энерговыделения по частотам показывает, что энергия сейсмического излучения на различных частотах спектра не одинакова, а в энергетическом спектре при малых приведенных расстояниях имеется четко выраженный максимум, т.е. на определенной величине частот выделяется значительно больше энергии, чем в других частотах. Приведены математические выражения для расчета общей энергии колебаний грунтовой среды, оценки соотношения энергии, протекающей в грунте, и энергии, получаемой подземным сооружением при их взаимодействии. Предло- жена формула для расчета безразмерного коэффициента колебательного процесса, показывающего долю энергии, передаваемой через грунт на подземные сооружения. Выделены три зоны, характеризующие зависимости сил взаимодействия в контактной области. Первая зона характеризуется линейной зависимостью между силой и относительным перемещением сооружения. Затем в следующей зоне пропорциональность между значениями нарушается с потерей упругого характера взаимодействия. В третьей же зоне происходит скольжение подземного сооружения относительно грунта. Рассмотрены особенности взаимодействия тонкостенного сооружения с грунтовой средой. Расчеты показывают, что полученные зависимости с достаточной точностью могут быть использованы при оценке сейсмической интенсивности сейсмовзрывных волн.</p></trans-abstract><kwd-group xml:lang="en"><kwd>calculation of vibration energy</kwd><kwd>underground explosions</kwd><kwd>seismic waves</kwd><kwd>vibrations of the structure of the structure</kwd><kwd>kinetic energy</kwd><kwd>discrete spectra</kwd><kwd>seismic and explosive vibrations</kwd><kwd>stress modeling</kwd><kwd>deformation diagram</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>расчет энергии колебаний</kwd><kwd>подземные взрывы</kwd><kwd>сейсмические волны</kwd><kwd>колебания конструкции сооружения</kwd><kwd>кинетическая энергия</kwd><kwd>дискретные спектры</kwd><kwd>сейсмовзрывные колебания</kwd><kwd>моделирование напряжений</kwd><kwd>диаграмма деформирования</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">Ter-Martirosyan A.Z., Sobolev E.S. 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