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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">caht</journal-id><journal-title-group><journal-title xml:lang="ru">Научный вестник МГТУ ГА</journal-title><trans-title-group xml:lang="en"><trans-title>Civil Aviation High Technologies</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2079-0619</issn><issn pub-type="epub">2542-0119</issn><publisher><publisher-name>Moscow State Technical University of Civil Aviation (MSTU CA)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26467/2079-0619-2023-26-6-75-87</article-id><article-id custom-type="elpub" pub-id-type="custom">caht-2270</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>Анализ используемых подходов расчета эвольвентных шлицевых соединений и методы учета их влияния на динамическое поведение систем</article-title><trans-title-group xml:lang="en"><trans-title>Analysis of the approaches used for calculating involute splined couplings and the methods of considering their influence on the dynamic behavior of systems</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Николаев</surname><given-names>И. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Nikolaev</surname><given-names>I. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Илья Витальевич Николаев, аспирант</p><p>кафедра конструкции и проектирования двигателей</p><p>Москва</p></bio><bio xml:lang="en"><p>Ilya V. Nikolaev, Postgraduate Student</p><p>Engine Design and Engineering Chair</p><p>Moscow</p></bio><email xlink:type="simple">nikolka831@mail.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>Леонтьев</surname><given-names>М. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Leontiev</surname><given-names>M. K.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Михаил Константинович Леонтьев, д. т. н., профессор</p><p>кафедра конструкции и проектирования двигателей</p><p>Москва</p></bio><bio xml:lang="en"><p>Michael K. Leontiev, Doctor of Technical Sciences, Professor</p><p>Engine Design and Engineering Chair</p><p>Moscow</p></bio><email xlink:type="simple">lemk@alfatran.com</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>Попов</surname><given-names>В. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Popov</surname><given-names>V. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Валерий Васильевич Попов, старший преподаватель</p><p>кафедра прикладной механики</p><p>Москва</p></bio><bio xml:lang="en"><p>Valery V. Popov, Senior Lecturer</p><p>Applied Mechanics Chair</p><p>Moscow</p></bio><email xlink:type="simple">vvpopov.bmstu@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский авиационный институт (национальный исследовательский университет)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow Aviation Institute (National Research University)</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>МГТУ им. Н.Э. Баумана</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Bauman Moscow State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>25</day><month>12</month><year>2023</year></pub-date><volume>26</volume><issue>6</issue><fpage>75</fpage><lpage>87</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Николаев И.В., Леонтьев М.К., Попов В.В., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Николаев И.В., Леонтьев М.К., Попов В.В.</copyright-holder><copyright-holder xml:lang="en">Nikolaev I.V., Leontiev M.K., Popov V.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://avia.mstuca.ru/jour/article/view/2270">https://avia.mstuca.ru/jour/article/view/2270</self-uri><abstract><p>   Шлицевые соединения ввиду своих высоких параметров надежности и прочности широко распространены не только в машиностроении. Возможность обеспечивать передачу большого крутящего момента при достаточно большом ресурсе работы привела к активному использованию данных соединений в авиастроении. Поскольку в авиационных газотурбинных двигателях данный узел испытывает большие нагрузки, особое внимание уделяется не только прочностным характеристикам, но и влиянию на динамические параметры роторной системы. Для минимизации рисков разрушения и возникновения дефектов проводится большое количество исследований, позволяющих проводить оценку работы роторной системы со шлицами и прогнозировать ее поведение при возникновении различных факторов, приводящих к изменению работы шлицев. В данной статье проведен обзор различных методов, методик и моделей эвольвентных шлицевых соединений, использующихся при анализе динамического поведения роторных систем. Рассмотрены аналитические модели, позволяющие учитывать соединение в различных системах, и конечно-элементные модели, демонстрирующие описание различных процессов в шлицах. Исследованы работы, посвященные сравнению конечно-элементных моделей с аналитическими, подтверждающие результаты, связанные с динамическими характеристиками систем с ростом радиального и углового перекосов. Также представлены результаты сравнения вышеперечисленных моделей и их результатов с экспериментальными исследованиями для верификации и подтверждения различных эффектов. Приведенные исследования роторных систем с перекосом позволяют сделать вывод о существенном влиянии шлицев, поскольку они могут приводить к изменению жесткости соединения, перераспределению контакта, увеличению нагрузок в зацеплении, росту амплитуд вибраций, изменению спектра возбуждаемых частот и автоколебательным процессам вследствие различных факторов.</p></abstract><trans-abstract xml:lang="en"><p>   Spline couplings, due to their high reliability and strength parameters, are widespread not only in mechanical engineering. The ability to transmit high torque with a sufficiently long service life has led to the extensive use of these couplings in the aircraft industry. Since this unit is under heavy loads in aircraft gas turbine engines, much attention is paid not only to strength characteristics, but also to the influence on the dynamic parameters of the rotor system. To mitigate the risks of destruction and the occurrence of defects, a large number of studies are carried out allowing us to evaluate the rotor system operation with splines and make a forecast of its behavior in the event of various factors leading to a change in the operation of splines. This paper provides a review of various methods, techniques and models of involute spline couplings used in the analysis of the dynamic behavior of rotor systems. The analytical models that allow us to take into account the coupling in various systems as well as finite element models that demonstrate the description of various processes in splines. The publications, devoted to the comparison of finite element models with analytical ones confirming the results associated with the dynamic characteristics of systems with an increase in radial and angular swashes, have been considered. The results of comparing the above models and their results with experimental research to verify and confirm various effects are also presented. The given research of rotor systems with swash allows for a conclusion about a significant spline influence, since they can cause a change in the coupling rigidity, redistribution of contact, increased loads in meshing, increased vibration amplitudes, change in the spectrum of excited frequencies and self-oscillatory processes due to various factors.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>шлицевые соединения</kwd><kwd>верификация</kwd><kwd>автоколебания</kwd><kwd>перекос</kwd><kwd>моделирование</kwd></kwd-group><kwd-group xml:lang="en"><kwd>spline couplings</kwd><kwd>verification</kwd><kwd>self-oscillations</kwd><kwd>swash</kwd><kwd>simulation</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">Биргер И.А., Шорр Б.Ф., Иосилевич Г.Б. Расчет на прочность деталей машин : справочник. 3-е изд., перераб. и доп. 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