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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">pribor</journal-id><journal-title-group><journal-title xml:lang="ru">Известия высших учебных заведений. Приборостроение</journal-title><trans-title-group xml:lang="en"><trans-title>Journal of Instrument Engineering</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0021-3454</issn><issn pub-type="epub">2500-0381</issn><publisher><publisher-name>Национальный исследовательский университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/0021-3454-2026-69-2-172-184</article-id><article-id custom-type="elpub" pub-id-type="custom">pribor-470</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>ПРОЕКТИРОВАНИЕ И ТЕХНОЛОГИЯ ПРОИЗВОДСТВА ПРИБОРОВ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>DESIGN AND PRODUCTION TECHNOLOGY OF INSTRUMENTS</subject></subj-group></article-categories><title-group><article-title>Моделирование узла натяжения ленты препрега для автоматизированной выкладки</article-title><trans-title-group xml:lang="en"><trans-title>Modeling of the Tension Node of the Prepreg Tape for Automated Placement Process</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>Ловлин</surname><given-names>С. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Lovlin</surname><given-names>S. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сергей Юрьевич Ловлин — канд. техн. наук, доцент, факультет систем управления и робототехники; доцент,</p><p>Санкт-Петербург.</p></bio><bio xml:lang="en"><p>Sergei Yu. Lovlin — PhD, Associate Professor, Faculty of Control Systems and Robotics,</p><p>St. Petersburg.</p></bio><email xlink:type="simple">sjlovlin@itmo.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>Ювшин</surname><given-names>А. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Iuvshin</surname><given-names>A. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Александр Михайлович Ювшин — канд. техн. наук; ведущий инженер-конструктор, </p><p>Санкт-Петербург.</p></bio><bio xml:lang="en"><p>Aleksandr M. Iuvshin — PhD, Leading Design Engineer,</p><p>St. Petersburg.</p></bio><email xlink:type="simple">yuvshin.alex@yandex.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Иванов</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Ivanov</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Алексей Сергеевич Иванов — магистр; Научно-производственный комплекс „Беспилотные авиационные морские системы“, ведущий инженер-конструктор, </p><p>Санкт-Петербург.</p></bio><bio xml:lang="en"><p>Aleksei S. Ivanov — MSc; Department of Unmanned Aero-Hydraulic Systems, Leading Design Engineer,</p><p>St. Petersburg.</p></bio><email xlink:type="simple">Aleksey.ivanof98@gmail.com</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Университет ИТМО</institution><country>Россия</country></aff><aff xml:lang="en"><institution>ITMO University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>АО „Цифровая сборка“</institution><country>Россия</country></aff><aff xml:lang="en"><institution>JSC Digital Assembly</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>НПП „Радар ММС”</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Radar MMS</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>13</day><month>03</month><year>2026</year></pub-date><volume>69</volume><issue>2</issue><fpage>172</fpage><lpage>184</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Национальный исследовательский университет ИТМО, 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Национальный исследовательский университет ИТМО</copyright-holder><copyright-holder xml:lang="en">Национальный исследовательский университет ИТМО</copyright-holder><license xlink:href="https://pribor.ifmo.ru/jour/about/submissions#copyrightNotice" xlink:type="simple"><license-p>https://pribor.ifmo.ru/jour/about/submissions#copyrightNotice</license-p></license></permissions><self-uri xlink:href="https://pribor.ifmo.ru/jour/article/view/470">https://pribor.ifmo.ru/jour/article/view/470</self-uri><abstract><p>Решена задача моделирования узла натяжения ленты препрега в процессе автоматизированной выкладки. Показано, что обычно узел подачи моделируется как механическая система с постоянным моментом инерции катушки и неизменной геометрией подводящего участка, что не соответствует реальному процессу размотки. Предложена математическая модель, учитывающая намотку материала на катушку по спирали, изменение радиуса катушки и момента инерции системы, а также зависимость длины ленты между катушкой и обводным роликом от угла поворота катушки. Проанализировано влияние жесткости пружины и расстояния между катушкой и обводным роликом на пульсации силы натяжения и рабочий ход пружины. Показано, что уменьшение жесткости пружины снижает амплитуду пульсаций, но повышает габариты узла натяжения, а увеличение расстояния между катушкой и обводным роликом уменьшает требуемый рабочий ход пружины. Представлен подход к выбору жесткости пружины и расстояния между катушкой и обводным роликом, основанный на минимизации габаритов узла натяжения при ограничении на максимально допустимые пульсации силы натяжения. Разработанная модель может использоваться при проектировании систем натяжения ленты препрега и выборе параметров пассивных компенсаторов натяжения. </p></abstract><trans-abstract xml:lang="en"><p>The problem of modeling the tension node of the prepreg tape in automated placement process is solved. It is shown that the feed unit is usually modeled as a mechanical system with a constant moment of inertia of the coil and a constant geometry of the feed section, which does not correspond to the actual unwinding process. A mathematical model is proposed that takes into account the winding of the material on the coil in a spiral, the change in the radius of the coil and the moment of inertia of the system, as well as the dependence of the length of the tape between the coil and the bypass roller on the angle of rotation of the coil. The effect of spring stiffness and the distance between the coil and the bypass roller on the tension force pulsations and the working stroke of the spring is analyzed. It is shown that reducing the spring stiffness reduces the amplitude of the pulsations, but increases the dimensions of the tension unit, and increasing the distance between the coil and the bypass roller reduces the required working stroke of the spring. An approach to choosing the spring stiffness and the distance between the coil and the bypass roller is presented, based on minimizing the dimensions of the tension unit while limiting the maximum allowable tension force pulsations. The developed model can be used in the design of prepreg tape tension systems and the selection of parameters for passive tension compensators.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>автоматизированная выкладка</kwd><kwd>препрег</kwd><kwd>термореактивные материалы</kwd><kwd>узел натяжения</kwd><kwd>математическое моделирование</kwd><kwd>компенсатор натяжения</kwd></kwd-group><kwd-group xml:lang="en"><kwd>automated placement</kwd><kwd>prepreg</kwd><kwd>thermosetting materials</kwd><kwd>tension assembly</kwd><kwd>mathematical modeling</kwd><kwd>tension compensator</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">Brasington A., Sacco Ch., Halbritter J., Wehbe R., Harik R. Automated Fiber Placement: A Review of History, Current Technologies, and Future Paths Forward // Composites Part C. 2021. Vol. 6. 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