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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">41547</article-id><article-id pub-id-type="doi">10.22363/1815-5235-2024-20-4-374-387</article-id><article-id pub-id-type="edn">LWBXNO</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">Calculation of a Vibration-Isolated Building System with Non-Linear Characteristics Under Kinematic Action (Base Displacement)</article-title><trans-title-group xml:lang="ru"><trans-title>Расчет виброизолирующей системы здания с нелинейными характеристиками при кинематическом воздействии (смещении основания)</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3875-9413</contrib-id><contrib-id contrib-id-type="spin">8790-7877</contrib-id><name-alternatives><name xml:lang="en"><surname>Qbaily</surname><given-names>Jaafar</given-names></name><name xml:lang="ru"><surname>Кбейли</surname><given-names>Джаафар</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Technical Sciences, Design Engineer of the Design Sector PIO</p></bio><bio xml:lang="ru"><p>кандидат технических наук, инженер-конструктор проектного сектора ПИО</p></bio><email>jaafarqbaily@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0808-9981</contrib-id><contrib-id contrib-id-type="spin">2375-6712</contrib-id><name-alternatives><name xml:lang="en"><surname>Chernov</surname><given-names>Yury T.</given-names></name><name xml:lang="ru"><surname>Чернов</surname><given-names>Юрий Тихонович</given-names></name></name-alternatives><bio xml:lang="en"><p>Doctor of Technical Sciences, Professor of the Structural Mechanics Department</p></bio><bio xml:lang="ru"><p>доктор технических наук, профессор кафедры строительной и теоретической механики</p></bio><email>chernovyt@mgsu.ru</email><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Inggeoservice</institution></aff><aff><institution xml:lang="ru">ИнжГеоСервис</institution></aff></aff-alternatives><aff-alternatives id="aff2"><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><pub-date date-type="pub" iso-8601-date="2024-11-15" publication-format="electronic"><day>15</day><month>11</month><year>2024</year></pub-date><volume>20</volume><issue>4</issue><issue-title xml:lang="en">VOL 20, NO4 (2024)</issue-title><issue-title xml:lang="ru">ТОМ 20, №4 (2024)</issue-title><fpage>374</fpage><lpage>387</lpage><history><date date-type="received" iso-8601-date="2024-11-14"><day>14</day><month>11</month><year>2024</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2024, Qbaily J., Chernov Y.T.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2024, Кбейли Д., Чернов Ю.Т.</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="en">Qbaily J., Chernov Y.T.</copyright-holder><copyright-holder xml:lang="ru">Кбейли Д., Чернов Ю.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/41547">https://journals.rudn.ru/structural-mechanics/article/view/41547</self-uri><abstract xml:lang="en"><p>Vibration isolation systems play a major role in protecting buildings from seismic damage. Since they consist of elements with non-linear characteristics, the calculation models of the vibration isolation system require taking into account changes in the dynamic characteristics of the structure (stiffness or compliance matrix), frequencies and forms of natural vibrations. The study proposes an algorithm and dependencies which are based on the possibility of the disconnection or the destruction of the additional connections (elements with non-linear characteristics) due to certain seismic forces and displacement of structures under seismic impact. The results showed that the amplitude-frequency response, displacement, and shear force at the base of the structure decreased when additional connections were disconnected or destroyed. Thus, the proposed method, which takes into account the operation of vibration isolation systems with nonlinear connections, allows reducing the material, economic and human damage during seismic action. The obtained results of the example show that the dependences of the calculation algorithm developed in the work can be used in engineering practice when evaluating the dynamic behavior of a vibration-insulated building system (amplitude-frequency response) during vibrations under seismic influence.</p></abstract><trans-abstract xml:lang="ru"><p>Виброизолирующие системы играют важную роль в защите зданий от сейсмических повреждений. Так как они состоят из элементов с нелинейными характеристиками, расчетные модели виброизолирующих системы требуют разработки методов с учетом изменения динамических характеристик сооружения (матрицы жесткости или податливости), частот и форм собственных колебаний. В исследовании предложен алгоритм и зависимости, основанные на возможности выключения или разрушения дополнительных связей (элементы с нелинейными характеристиками) при определении сейсмических сил и перемещений сооружений при сейсмическом воздействии. Результаты тестовых расчетов показали, что амплитудно-частотная характеристика, перемещение и поперечная сила в основании сооружения уменьшились при выключении или разрушении дополнительных связей. Таким образом, предлагаемая методика, учитывающая работу виброизолирующих систем с нелинейными связями, позволяет снизить материальный, экономический и человеческий ущерб при сейсмическом воздействии. Полученные результаты показали, что зависимости алгоритма расчета, разработанные в работе, можно использовать в инженерной практике при оценке динамического поведения виброизолированной системы здания (амплитудно-частотная характеристика) в процессе колебаний при сейсмическом воздействии.</p></trans-abstract><kwd-group xml:lang="en"><kwd>dynamic impacts</kwd><kwd>seismic impacts</kwd><kwd>building seismic isolation</kwd><kwd>amplitude-frequency response</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>динамические характеристики</kwd><kwd>сейсмические воздействия</kwd><kwd>сейсмоизоляция здания</kwd><kwd>амплитудночастотная характеристика</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">Chernov Yu.T. Vibrations of building structures. 2nd ed. Moscow: ACB Publ.; 2011. (In Russ.) EDN: QNPJJR</mixed-citation><mixed-citation xml:lang="ru">Чернов Ю.Т. 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