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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">23960</article-id><article-id pub-id-type="doi">10.22363/1815-5235-2020-16-3-209-218</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">Evaluation of the pile interaction at vertical vibrations of foundation</article-title><trans-title-group xml:lang="ru"><trans-title>Оценка взаимного влияния свай при вертикальных колебаниях фундамента</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Kolesnikov</surname><given-names>Aleksei O.</given-names></name><name xml:lang="ru"><surname>Колесников</surname><given-names>Алексей Олегович</given-names></name></name-alternatives><bio xml:lang="en"><p>Cand. Sc. (Technical), Associate Professor, Department of Engineering Geology, Bases and Foundations</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент, кафедра инженерной геологии, оснований и фундаментов</p></bio><email>ao_kolesnikov@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Popov</surname><given-names>Vladimir N.</given-names></name><name xml:lang="ru"><surname>Попов</surname><given-names>Владимир Николаевич</given-names></name></name-alternatives><bio xml:lang="en"><p>Dr. Sc. (Physics-Mathematical), chief researcher</p></bio><bio xml:lang="ru"><p>доктор физико-математических наук, главный научный сотрудник</p></bio><email>ao_kolesnikov@mail.ru</email><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Kostiuk</surname><given-names>Tatiana N.</given-names></name><name xml:lang="ru"><surname>Костюк</surname><given-names>Татьяна Николаевна</given-names></name></name-alternatives><bio xml:lang="en"><p>master student, Department of Engineering Geology, Bases and Foundations</p></bio><bio xml:lang="ru"><p>магистрант, кафедра инженерной геологии, оснований и фундаментов</p></bio><email>ao_kolesnikov@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Novosibirsk State University of Architecture and Civil Engineering (Sibstrin)</institution></aff><aff><institution xml:lang="ru">Новосибирский государственный архитектурно-строительный университет (Сибстрин)</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Khristianovich Institute of Theoretical and Applied Mechanics of SB RAS</institution></aff><aff><institution xml:lang="ru">Институт теоретической и прикладной механики имени С.А. Христиановича СО РАН</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2020-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2020</year></pub-date><volume>16</volume><issue>3</issue><issue-title xml:lang="en">VOL 16, NO3 (2020)</issue-title><issue-title xml:lang="ru">ТОМ 16, №3 (2020)</issue-title><fpage>209</fpage><lpage>218</lpage><history><date date-type="received" iso-8601-date="2020-06-12"><day>12</day><month>06</month><year>2020</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2020, Kolesnikov A.O., Popov V.N., Kostiuk T.N.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2020, Колесников А.О., Попов В.Н., Костюк Т.Н.</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="en">Kolesnikov A.O., Popov V.N., Kostiuk T.N.</copyright-holder><copyright-holder xml:lang="ru">Колесников А.О., Попов В.Н., Костюк Т.Н.</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/">http://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/structural-mechanics/article/view/23960">https://journals.rudn.ru/structural-mechanics/article/view/23960</self-uri><abstract xml:lang="en"><p>The aim of the work - to research changes in the dynamic stiffness of pile foundations from the distance between the piles during vertical vibrations using experimental data from literature sources and solving wave models describing the vertical vibrations of a thin plate with round cuts. Methods. To verify the reliability of solutions of wave models describing changes in dynamic stiffness during vertical vibrations of pile foundations, it is used data obtained in experiments to determine the eigenfrequencies of 3×3 groups of friction piles with different distances between them. Also the data obtained from forced vertical oscillations of 2×2 groups of friction piles connected by pile-caps at different loads and distances between piles was used. In the processing of available amplitude-frequency curves for determining the dynamic stiffness the inverse problem is solved using the theory of nonlinear oscillations. The correspondence between the measured and predicted data is evaluated, when describing the behavior of the pile-ground system. Results. It is established that the relations that take into account the mutual influence of piles in the group, obtained in the framework of wave models solutions and used for calculating dynamic stiffness in vertical vibrations of pile foundations, allow us to obtain satisfactory results in accuracy. The deviation of the calculation results from the experimental data does not exceed 15%.</p></abstract><trans-abstract xml:lang="ru"><p>Цель исследования - изучение изменения динамической жесткости свайного фундамента от расстояния между сваями при вертикальных колебаниях с использованием экспериментальных данных из литературных источников и решения волновых моделей, описывающих вертикальные колебания тонкой пластины с круглыми вырезами. Методы. Для проверки достоверности решений волновых моделей, описывающих изменение динамических жесткостей при вертикальных колебаниях свайных фундаментов, используются данные, полученные в экспериментах по определению собственных частот связанных ростверками групп 3×3 висячих свай с различными расстояниями между ними. Также использованы данные, полученные при вынужденных вертикальных колебаниях связанных ростверками групп свай 2×2 при различных нагрузках и расстояниях между сваями. При обработке имеющихся амплитудно-частотных кривых решается обратная задача с использованием теории нелинейных колебаний для определения динамической жесткости. Оценивается соответствие между измеренными и прогнозируемыми данными при описании поведения свайно-грунтовой системы. Результаты. Установлено, что соотношения, учитывающие взаимное влияние висячих свай в кусте, полученные в рамках решений волновых моделей и применяемые для расчета динамических жесткостей при вертикальных колебаниях свайных фундаментов, позволяют получать удовлетворительные результаты по точности. Отклонение результатов расчетов от данных экспериментальных исследований не превышает 15 %.</p></trans-abstract><kwd-group xml:lang="en"><kwd>pile foundation</kwd><kwd>mutual influence of piles in a group</kwd><kwd>distance between piles</kwd><kwd>pile-ground system</kwd><kwd>wave model</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>свайный фундамент</kwd><kwd>взаимное влияние свай в группе</kwd><kwd>расстояние между сваями</kwd><kwd>свайно-грунтовая система</kwd><kwd>волновая модель</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">Prakash S., Puri V.K. 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