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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">RUDN Journal of Engineering Research</journal-id><journal-title-group><journal-title xml:lang="en">RUDN Journal of Engineering Research</journal-title><trans-title-group xml:lang="ru"><trans-title>Вестник Российского университета дружбы народов. Серия: Инженерные исследования</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2312-8143</issn><issn publication-format="electronic">2312-8151</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">48344</article-id><article-id pub-id-type="doi">10.22363/2312-8143-2025-26-4-399-411</article-id><article-id pub-id-type="edn">CXVECY</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</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">Influence of Axial Load on the Performance of Ball Radial Bearings</article-title><trans-title-group xml:lang="ru"><trans-title>Влияние осевой нагрузки на работоспособность шариковых радиальных подшипников</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7591-8313</contrib-id><contrib-id contrib-id-type="spin">7102-6966</contrib-id><name-alternatives><name xml:lang="en"><surname>Belousov</surname><given-names>Yuriy V.</given-names></name><name xml:lang="ru"><surname>Белоусов</surname><given-names>Юрий Вениаминович</given-names></name></name-alternatives><bio xml:lang="en"><p>PhD (Technical Sciences), Associate Professor of the Department of Fundamentals of Machine Design, Bauman Moscow State Technical University (National Research University); Associate Professor of the Department of Construction Technology and Structural Materials, Academy of Engineering, RUDN University</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент кафедры основ конструирования машин, Московский государственный технический университет им. Н.Э. Баумана (национальный исследовательский университет); доцент кафедры технологий строительства и конструкционных материалов, инженерная академия, Российский университет дружбы народов</p></bio><email>juvbelousov@bmstu.ru</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9923-176X</contrib-id><contrib-id contrib-id-type="spin">5568-0834</contrib-id><name-alternatives><name xml:lang="en"><surname>Shambina</surname><given-names>Svetlana L.</given-names></name><name xml:lang="ru"><surname>Шамбина</surname><given-names>Светлана Львовна</given-names></name></name-alternatives><bio xml:lang="en"><p>PhD (Technical Sciences), Associate Professor of the Department of Construction Technology and Structural Materials, Academy of Engineering</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент кафедры технологий строительства и конструкционных материалов, инженерная академия</p></bio><email>shambina_sl@mail.ru</email><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8584-6755</contrib-id><name-alternatives><name xml:lang="en"><surname>Rekach</surname><given-names>Fedor V.</given-names></name><name xml:lang="ru"><surname>Рекач</surname><given-names>Федор Владимирович</given-names></name></name-alternatives><bio xml:lang="en"><p>PhD (Technical Sciences), Associate Professor of the Department of Construction Technology and Structural Materials, Academy of Engineering</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент кафедры технологий строительства и конструкционных материалов, инженерная академия</p></bio><email>rekfedor@yandex.ru</email><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0002-1523-9439</contrib-id><name-alternatives><name xml:lang="en"><surname>Kireev</surname><given-names>Oleg L.</given-names></name><name xml:lang="ru"><surname>Киреев</surname><given-names>Олег Леонидович</given-names></name></name-alternatives><bio xml:lang="en"><p>Senior Lecturer of the Department of Construction Technology and Structural Materials, Academy of Engineering</p></bio><bio xml:lang="ru"><p>старший преподаватель кафедры технологий строительства и конструкционных материалов, инженерная академия</p></bio><email>kireev_ol@pfur.ru</email><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Bauman Moscow State Technical University (National Research University)</institution></aff><aff><institution xml:lang="ru">Московский государственный технический университет им. Н.Э. Баумана (национальный исследовательский университет)</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">RUDN University</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2025-12-25" publication-format="electronic"><day>25</day><month>12</month><year>2025</year></pub-date><volume>26</volume><issue>4</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>399</fpage><lpage>411</lpage><history><date date-type="received" iso-8601-date="2026-02-02"><day>02</day><month>02</month><year>2026</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2025, Belousov Y.V., Shambina S.L., Rekach F.V., Kireev O.L.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2025, Белоусов Ю.В., Шамбина С.Л., Рекач Ф.В., Киреев О.Л.</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="en">Belousov Y.V., Shambina S.L., Rekach F.V., Kireev O.L.</copyright-holder><copyright-holder xml:lang="ru">Белоусов Ю.В., Шамбина С.Л., Рекач Ф.В., Киреев О.Л.</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/engineering-researches/article/view/48344">https://journals.rudn.ru/engineering-researches/article/view/48344</self-uri><abstract xml:lang="en"><p>Ball radial bearings are often used as shaft supports. They are designed to withstand radial loads. However, they are also quite efficient under axial loads. To determine the degree of influence of axial loads on the performance of these bearings, the nature of the interaction of rolling elements with the rings of single-row ball radial bearings installed in a thrust manner under a combined load is considered. A method for determining the ultimate radial and axial loads for these bearings has been developed. Expressions have been obtained that relate the axial load to the unused radial load. Specific examples have shown that the greatest reaction of supports with single-row ball radial bearings under a combined load on the shaft, when the axial load is ultimate, can be twice as great as a similar reaction of supports under only a radial load of the same magnitude on the shaft. An excessively large error in determining the reactions of shaft supports significantly reduces the performance of the bearings selected for it, accelerating their failure. In addition, when a calculation scheme for a shaft supported by radial ball bearings is drawn up, the shaft is always represented as a beam on two hinged supports. One of the supports was a fixed hinge, and the other was a movable hinge. It has been established that under the action of a combined load, both supports operate as fixed hinges because both perceive an axial load. In this case, one part of the shaft between the supports was stretched, and the other was compressed. The boundary between the stretched and compressed zones was the point of application of the axial force.</p></abstract><trans-abstract xml:lang="ru"><p>В качестве опор валов часто используются шариковые радиальные подшипники. Они предназначены для восприятия радиальной нагрузки, однако оказываются достаточно работоспособными при действии также и осевой нагрузки. Для определения степени влияния осевой нагрузки на работоспособность указанных подшипников рассмотрен характер взаимодействия тел качения с кольцами шариковых радиальных однорядных подшипников, установленных враспор, под действием комбинированной нагрузки. Разработана методика определения предельной радиальной и осевой нагрузки для данных подшипников. Получены выражения, связывающие осевую нагрузку с неиспользованной радиальной. На конкретных примерах показано, что наибольшая реакция опор с шариковыми радиальными однорядными подшипниками при действии на вал комбинированной нагрузки, когда осевая нагрузка является предельной, может превышать в два раза аналогичную реакцию опор при действии на вал только радиальной нагрузки той же величины. Слишком большая погрешность в определении реакций опор вала сильно снижает работоспособность подобранных для него подшипников, ускоряя их выход из строя. Кроме того, при составлении расчетной схемы вала, в качестве опор которого используются шариковые радиальные подшипники, вал всегда представляется как балка на двух шарнирных опорах. Одна из опор - неподвижный шарнир, другая - подвижный шарнир. Установлено, что при действии комбинированной нагрузки обе опоры работают как неподвижные шарниры, поскольку обе воспринимают осевую нагрузку. При этом одна часть вала между опорами оказывается растянутой, а другая - сжатой. Границей между растянутой и сжатой зонами является точка приложения осевой силы.</p></trans-abstract><kwd-group xml:lang="en"><kwd>reaction of supports</kwd><kwd>rolling elements</kwd><kwd>radial and axial load</kwd><kwd>free contact angle</kwd><kwd>articulated supports</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>реакция опор</kwd><kwd>тела качения</kwd><kwd>радиальная и осевая нагрузка</kwd><kwd>свободны угол контакта</kwd><kwd>шарнирные опоры</kwd></kwd-group><funding-group/></article-meta><fn-group/></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Belousov YuV, Kirilovskiy VV. Investigation of the influence of the degree of contact of rolling surfases on contact stresses in ball radial bearing. RUDN Journal of Engineering Research.2022;23(3):213-223/ (In Russ.) https://doi.org/10.22363/2312-8143-2022-23-3-213-223</mixed-citation><mixed-citation xml:lang="ru">Белоусов Ю.В., Кириловский В.В., Рекач Ф.В. 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