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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">ipolytech</journal-id><journal-title-group><journal-title xml:lang="ru">iPolytech Journal</journal-title><trans-title-group xml:lang="en"><trans-title>iPolytech Journal</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2782-4004</issn><issn pub-type="epub">2782-6341</issn><publisher><publisher-name>Irkutsk National Research Technical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21285/1814-3520-2025-4-492-501</article-id><article-id custom-type="edn" pub-id-type="custom">HAEDBL</article-id><article-id custom-type="elpub" pub-id-type="custom">ipolytech-989</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>МАШИНОСТРОЕНИЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MECHANICAL ENGINEERING</subject></subj-group></article-categories><title-group><article-title>Верификации созданных и применяемых конечноэлементных моделей и программ при расчёте ресурса конструкций лопаток турбомашин с учётом геометрической расстройки параметров</article-title><trans-title-group xml:lang="en"><trans-title>Turbomachine blade life assessment with geometric mistuning</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2560-2721</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Репецкий</surname><given-names>О. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Repetskii</surname><given-names>O. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Репецкий Олег Владимирович, д.т.н., профессор,проректор по международным связям</p><p>664038, г. Иркутск</p></bio><bio xml:lang="en"><p>Oleg V. Repetskii, Dr. Sci. (Eng.), Professor, Vice-Rector for International Relations</p><p>Irkutsk 664038</p></bio><email xlink:type="simple">repetckii@igsha.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Нгуен</surname><given-names>Ван Мань</given-names></name><name name-style="western" xml:lang="en"><surname>Nguyen</surname><given-names>Van Manh</given-names></name></name-alternatives><bio xml:lang="ru"><p>Нгуен Ван Мань, аспирант</p><p>664038, г. Иркутск</p></bio><bio xml:lang="en"><p>Van Manh Nguyen, Postgraduate Student</p><p>Irkutsk 664038</p></bio><email xlink:type="simple">manhzhucov@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Иркутский государственный аграрный университет имени А.А. Ежевского</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Irkutsk State Agrarian University named after A.A. Ezhevsky</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>03</day><month>01</month><year>2026</year></pub-date><volume>29</volume><issue>4</issue><fpage>492</fpage><lpage>501</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Репецкий О.В., Нгуен В., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Репецкий О.В., Нгуен В.</copyright-holder><copyright-holder xml:lang="en">Repetskii O.V., Nguyen V.</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://ipolytech.elpub.ru/jour/article/view/989">https://ipolytech.elpub.ru/jour/article/view/989</self-uri><abstract><p>Целью настоящего исследования является проверка математических моделей, численных методов и комплекса программ для подтверждения их адекватности и возможности применения в оценке долговечности реальных рабочих колес турбомашин. Анализ прочностных характеристик высоконагруженных элементов роторов турбомашин с учетом расстройки параметров является одной из актуальных и ключевых задач в энергетическом и транспортном двигателестроении. Основным методом изучения данных характеристик является метод конечных элементов в трехмерной постановке. Дополнительно в работе используются теории упругости и колебаний, механика деформируемого твердого тела, методы суммирования повреждений и гипотезы накопления усталостных напряжений. Применены матричные вычисления, численное интегрирование и методы решения алгебраических систем уравнений. В данной работе представлен анализ долговечности модели рабочего колеса паровой турбины с использованием трехмерных конечных элементов TET10 в коммерческом программном комплексе ANSYS WORKBENCH с применением авторских программ. Полученные численные результаты в рамках созданных конечноэлементных моделей для всех видов расстройки сопоставлены с экспериментом, аналитическим решением и расчетными данными в программе ABAQUS с учетом геометрической расстройки. Это позволяет расширить их применение с модельных конструкций паровых турбин на реальные промышленные изделия. В результате вычислительного эксперимента получены новые научные результаты по верификации авторского программного обеспечения и интерфейса, связывающего эти программы с известными коммерческими пакетами, при анализе ресурса модели паровой турбины с расстройкой геометрических параметров. Практическая значимость работы заключается в возможности применения данного подхода к оценке долговечности реальных конструкций осевых и радиальных турбомашин при их проектировании и доводке, что существенно сокращает временные и финансовые затраты для создания новых компрессоров и турбин.</p></abstract><trans-abstract xml:lang="en"><p>This study aims to verify the mathematical models, numerical methods, and software suite developed for assessing the service life of actual turbomachine rotors and confirm their adequacy for industrial applications. The strength analysis of highly loaded turbomachine rotor components, accounting for parameter mistuning, represents a critical challenge in power generation and aerospace engine design. The primary investigative method employed is the finite element method (FEM) in a three-dimensional formulation. The research utilizes theories of elasticity and vibration, mechanics of deformable solids, damage summation methods, and fatigue accumulation hypotheses. The computational framework involves matrix computations, numerical integration, and methods for solving systems of algebraic equations. A durability analysis of a steam turbine wheel model was carried out using TET10 three-dimensional finite elements within the commercial ANSYS WORKBENCH software, enhanced with custom-developed codes. The numerical results from these finite element models for all mistuning types were compared with the experimental data, analytical solutions, and computational results from the ABAQUS software, which incorporated geometric mistuning. This integrated validation confirms the accuracy of the models and facilitates their application not only to simplified steam turbine models but also to real industrial components. The computational experiments verified the proprietary software and the interface that connects it with conventional commercial software for analyzing the service life of a steam turbine with geometric mistuning. The practical significance of this work lies in the applicability of the developed approach for durability assessment in the design and fine-tuning of real axial and radial turbomachinery. This methodology substantially reduces the time and financial costs associated with the development of new compressors and turbines.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>верификация</kwd><kwd>конечноэлементная модель</kwd><kwd>расстройка</kwd><kwd>долговечность</kwd><kwd>рабочие лопатки</kwd><kwd>турбомашины</kwd><kwd>напряжения</kwd></kwd-group><kwd-group xml:lang="en"><kwd>verification</kwd><kwd>finite element model</kwd><kwd>mistuning</kwd><kwd>durability</kwd><kwd>rotor blades</kwd><kwd>turbomachines</kwd><kwd>stresses</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Данная работа выполнена в рамках гранта РНФ № 24-29-20061. Авторы благодарят РНФ за поддержку настоящих исследований.</funding-statement><funding-statement xml:lang="en">This work was carried out within the framework of the Russian Science Foundation Grant № 24-29-20061. 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