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<article article-type="research-article" dtd-version="1.3" 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" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">mirtr</journal-id><journal-title-group><journal-title xml:lang="ru">Мир транспорта</journal-title><trans-title-group xml:lang="en"><trans-title>World of Transport and Transportation</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1992-3252</issn><publisher><publisher-name>Russian University of Transport (RUT)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.30932/1992-3252-2024-22-3-6</article-id><article-id custom-type="elpub" pub-id-type="custom">mirtr-2728</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>НАУКА И ТЕХНИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>SCIENCE AND ENGINEERING</subject></subj-group></article-categories><title-group><article-title>Влияние жидкого груза на частотные характеристики оболочки котла вагона-цистерны</article-title><trans-title-group xml:lang="en"><trans-title>Study of Liquid Cargo Influence on Frequency Characteristics of Tank Wagon Boiler Shell</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5841-341X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Григорьев</surname><given-names>П. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Grigorev</surname><given-names>P. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Григорьев Павел Сергеевич – кандидат технических наук, доцент кафедры электропоездов и локомотивов Института транспортной техники и систем управления</p><p>Москва</p><p>Scopus Author ID: 57966694500; РИНЦ Author ID: 841994</p></bio><bio xml:lang="en"><p>Grigorev, Pavel S., Ph.D. (Eng), Associate Professor at the Department of Electric Trains and Locomotives of the Institute of Transport Engineering and Control Systems</p><p>Moscow</p><p>Scopus Author ID: 57966694500;</p><p>Russian Science Citation Index Author ID: 841994</p></bio><email xlink:type="simple">grigorev.p@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0003-4783-3413</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Коржин</surname><given-names>С. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Korzhin</surname><given-names>S. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Коржин Сергей Николаевич – кандидат технических наук, доцент кафедры вагонов и вагонного хозяйства Института транспортной техники и систем управления</p><p>Москва</p><p>Scopus Author ID: 57223093144; </p><p>РИНЦ Author ID: 4350996</p></bio><bio xml:lang="en"><p>Korzhin, Sergey N., Ph.D. (Eng), Associate Professor at the Department of Wagons and Wagon Facilities of the Institute of Transport Engineering and Control Systems </p><p>Moscow</p><p>Scopus Author ID: 57223093144;</p><p>Russian Science Citation Index Author ID: 4350996</p></bio><email xlink:type="simple">korjin@miit.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1436-3844</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ибодуллоев</surname><given-names>Ш. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Ibodulloev</surname><given-names>Sh. R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ибодуллоев Шерзод Рустамович – старший преподаватель кафедры механики и компьютерного моделирования Национального исследовательского университета</p><p>Ташкент</p><p>Scopus Author ID: 57982866900; </p><p>РИНЦ Author ID: 947316</p></bio><bio xml:lang="en"><p>Ibodulloev, Sherzod R., Senior Lecturer at the Department of Mechanics and Computer Modelling</p><p>Tashkent</p><p>Scopus Author ID: 57982866900;</p><p>Russian Science Citation Index Author ID: 947316</p></bio><email xlink:type="simple">sherzod_uzmu@inbox.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Российский университет транспорта</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Russian University of Transport</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Ташкентский институт инженеров ирригации и механизации сельского хозяйства</institution><country>Узбекистан</country></aff><aff xml:lang="en"><institution>National Research University «Tashkent Institute of Irrigation and Agricultural Mechanisation Engineers»</institution><country>Uzbekistan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>08</day><month>04</month><year>2025</year></pub-date><volume>22</volume><issue>3</issue><fpage>45</fpage><lpage>51</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Григорьев П.С., Коржин С.Н., Ибодуллоев Ш.Р., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Григорьев П.С., Коржин С.Н., Ибодуллоев Ш.Р.</copyright-holder><copyright-holder xml:lang="en">Grigorev P.S., Korzhin S.N., Ibodulloev S.R.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://mirtr.elpub.ru/jour/article/view/2728">https://mirtr.elpub.ru/jour/article/view/2728</self-uri><abstract><p>Статья посвящена исследованию влияния уровня заполнения жидким грузом на частотные характеристики оболочки котла вагона-цистерны.</p><p>В рамках работы применен подход, используемый для оценки частот и форм собственных колебаний стальных резервуаров под воздействием сейсмических нагрузок. Данный подход предполагает учет двух компонентов собственных частот: импульсивной и конвективной. Для определения перечисленных частот и форм собственных колебаний выбран метод конечных элементов с использованием акустических элементов FLUID221. Выбор метода обоснован в ранее проведенных исследованиях авторов.</p><p>С использованием выбранного метода были исследованы конвективные собственные частоты колебаний свободной поверхности жидкости и импульсные частоты собственных колебаний с различным уровнем заполнения жидким грузом котла вагона-цистерны. Подтверждение достоверности результатов для импульсных частот оболочки, содержащей жидкость, обеспечивается согласованностью с данными, полученными авторами в предшествующих работах с использованием полубезмоментной теории оболочек.</p></abstract><trans-abstract xml:lang="en"><p>The article is devoted to the study of the effect of the fill level of liquid cargo on frequency characteristics of the shell of a tank wagon boiler.</p><p>The study has applied within its framework an approach used to estimate the frequencies and modes of natural oscillations of steel tanks under the influence of seismic loads. This approach assumes considering two components of natural frequencies: pulse and convective ones. To determine the listed frequencies and modes of natural oscillations, the finite element method using FLUID221 acoustic elements was selected. The choice of the method is justified in the previous studies of the authors.</p><p>Using the selected method, convective natural frequencies of oscillations of the free surface of the liquid and pulsed frequencies of natural oscillations with different fill levels of the tank wagon boiler with liquid cargo were studied. Confirmation of reliability of the results for pulse frequencies of the shell containing the liquid is ensured by consistency with the data obtained by the authors in previous works using the semi-momentless theory of shells.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>железнодорожный транспорт</kwd><kwd>вагон-цистерна</kwd><kwd>котел вагона-цистерны</kwd><kwd>частоты колебаний</kwd><kwd>формы колебаний</kwd><kwd>свободная поверхность</kwd><kwd>конвективные частоты</kwd><kwd>импульсные частоты</kwd></kwd-group><kwd-group xml:lang="en"><kwd>railways</kwd><kwd>tank wagon</kwd><kwd>tank wagon boiler</kwd><kwd>oscillation frequencies</kwd><kwd>oscillation forms</kwd><kwd>free surface</kwd><kwd>convective frequencies</kwd><kwd>pulse frequencies</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Housner, G. W. Earthquake Pressures on Fluid Containers. 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