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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">nami</journal-id><journal-title-group><journal-title xml:lang="ru">Труды НАМИ</journal-title><trans-title-group xml:lang="en"><trans-title>Trudy NAMI</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0135-3152</issn><publisher><publisher-name>ФГУП «НАМИ»</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="edn" pub-id-type="custom">ADODME</article-id><article-id custom-type="elpub" pub-id-type="custom">nami-443</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>АВТОМОБИЛЕСТРОЕНИЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>AUTOMOBILE DEVELOPMENT</subject></subj-group></article-categories><title-group><article-title>Построение и валидация конечно-элементной модели мотоцикла по статическому падению</article-title><trans-title-group xml:lang="en"><trans-title>Building and validating a motorcycle finite-element model against the static fall scenario</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>Брагин</surname><given-names>Е. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Bragin</surname><given-names>E. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Брагин Егор Павлович – инженер-конструктор 2-й категории, отдел «Численный анализ пассивной безопасности», управление «FEM моделирования», Центр «Численный анализ и виртуальная валидация»</p><p>г. Москва 125438</p></bio><bio xml:lang="en"><p>design engineer, department of numerical analysis of passive safety, FEM modeling department, Center for numerical analysis and virtual validation</p><p>Moscow 125438</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Солопов</surname><given-names>Д. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Solopov</surname><given-names>D. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Солопов Дмитрий Юрьевич – канд. техн. наук, заведующий отделом «Численный анализ пассивной безопасности», Центр «Численный анализ и виртуальная валидация»</p><p>г. Москва 125438</p></bio><bio xml:lang="en"><p>PhD (Eng), head of the department of numerical analysis of passive safety, Center for numerical analysis and virtual validation</p><p>Moscow 125438</p></bio><email xlink:type="simple">dmitriy.solopov@nami.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ГНЦ РФ ФГУП «НАМИ»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Federal State Unitary Enterprise “Central Scientific Research Automobile and Automotive Engines Institute” (FSUE “NAMI”)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>29</day><month>03</month><year>2026</year></pub-date><volume>0</volume><issue>1</issue><fpage>71</fpage><lpage>79</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Брагин Е.П., Солопов Д.Ю., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Брагин Е.П., Солопов Д.Ю.</copyright-holder><copyright-holder xml:lang="en">Bragin E.P., Solopov D.Y.</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://nami.elpub.ru/jour/article/view/443">https://nami.elpub.ru/jour/article/view/443</self-uri><abstract><p>Введение (постановка задачи и актуальность). Создание отечественной методики оценки безопасности мотоциклов требует использования валидированных конечно-элементных моделей (КЭМ), что позволяет заменить часть дорогостоящих физических испытаний на виртуальные. Одним из этапов создания такой модели является её верификация по экспериментальным данным при статическом падении.</p><p>Цель исследования – разработка и валидация КЭМ мотоцикла по сценарию статического падения с целью её последующего применения в исследованиях безопасности, включая моделирование краш-испытаний.</p><sec><title>Методология и методы</title><p>Методология и методы. Расчётная модель мотоцикла была рассчитана в программе LS-DYNA. Валидация проводилась на основе экспериментальных данных, полученных при опрокидывании мотоцикла из вертикального положения с фиксацией ускорений в трёх контрольных точках. Для ускорения расчётов также рассмотрен сценарий падения от момента касания подножкой опорной поверхности.</p><p>Результаты и научная новизна. Полученная КЭМ мотоцикла воспроизводит основные харак- теристики движения при падении и демонстрирует визуальную сходимость с экспериментом. Предложена упрощённая схема расчёта с сохранением корректности результатов, что позволяет существенно снизить трудозатраты при последующей валидации.</p></sec><sec><title>Практическая значимость</title><p>Практическая значимость. Разработанная модель может использоваться в качестве основы для построения отечественных методик испытаний мотоциклов. Её применение позволит проводить оценку безопасности без необходимости выполнения полного комплекса натурных краш-испытаний.</p></sec></abstract><trans-abstract xml:lang="en"><p>Introduction (problem statement and relevance). Creation of a domestic procedure to assess motorcycle safety requires use of validated finite-element models (FEM), which allows partial replacement of expensive physical tests with virtual ones. One of the stages of such model creation is its verification against experimental data of static fall.</p><p>The purpose of the study is to develop and validate a motorcycle finite-element model against the static fall scenario to further use such model in safety studies, including crash test simulations.</p><p>Methodology and research methods. The motorcycle simulation model was calculated in the LS-DYNA software program. The validation was performed based on experimental data obtained during motorcycle fall from a vertical position with recording of accelerations in three reference points. To expedite the calculations, the fall scenario from the moment of parking support contact was also considered.</p><p>Scientific novelty and results. The obtained motorcycle FEM reproduces main motion characteristics during the fall and demonstrates visual convergence with the experiment. The study offers a simplified calculation scheme with preserved result correctness, which allows significant reduction in labour costs within further validation.</p><p>Practical significance. The developed model can be used as a basis for developing domestic procedures of motorcycle testing. Application of the model will allow safety assessment without the need to carry out the full scope of physical crash tests.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>мотоцикл</kwd><kwd>падение</kwd><kwd>безопасность</kwd><kwd>испытание</kwd><kwd>конечно-элементная модель</kwd><kwd>LS-DYNA</kwd></kwd-group><kwd-group xml:lang="en"><kwd>motorcycle</kwd><kwd>fall</kwd><kwd>safety</kwd><kwd>test</kwd><kwd>finite-element model</kwd><kwd>LS-DYNA</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">Брагин Е.П., Солопов Д.Ю. Обоснование необходимости разработки новой методики испытаний по оценке пассивной безопасности мотоциклов // Труды НАМИ. – 2024. – № 3 (298). – С. 71–79. DOI: 10.51187/0135-3152-2024-3-71-79. EDN: EDLICW.</mixed-citation><mixed-citation xml:lang="en">Bragin E.P., Solopov D.Yu. [Justification of the need of development of a new test procedure to assess passive safety of motorcycles]. Trudy NAMI, 2024, no. 3 (298), pp. 71–79. DOI: 10.51187/0135-3152-2024-3-71-79. EDN: EDLICW. (In Russian)</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">LS-DYNA Keyword User’s Manual: версия 971 / Livermore Software Technology Corp., An Ansys Company. – Livermore (CA): Livermore Software Technology Corp., An Ansys Company, 2020. – 3527 р.</mixed-citation><mixed-citation xml:lang="en">LS-DYNA Keyword User’s Manual: 971. Livermore Software Technology Corp., An Ansys Company. Livermore (CA), Livermore Software Technology Corp., An Ansys Company, 2020. 3527 p.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">LS-DYNA Theory / Livermore Software Technology Corporation. – Livermore (CA): Livermore Software Technology Corporation, 2006. – 680 р.</mixed-citation><mixed-citation xml:lang="en">LS-DYNA Theory. Livermore Software Technology Corporation. Livermore (CA): Livermore Software Technology Corporation, 2006. 680 p.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Flanagan D.P., Belytschko T. A uniform strain hexahedron and quadrilateral with orthogonal hourglass control // International Journal for Numerical Methods in Engineering . – 1981. – V. 5. – P. 679–706.</mixed-citation><mixed-citation xml:lang="en">Flanagan D.P., Belytschko T. A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. International journal for numerical methods in engineering, 1981, vol. 5, pp. 679–706.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Puso M. A highly efficient enhanced assumed strain physically stabilized hexahedral element // International Journal for Numerical Methods in Engineering. – 2000. – V. 49. – P. 1029–1064.</mixed-citation><mixed-citation xml:lang="en">Puso M. A highly efficient enhanced assumed strain physically stabilized hexahedral element. International Journal for Numerical Methods in Engineering, 2000, vol. 49, pp. 1029–1064.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Belytschko T., Lin J., Tsay C.S. Explicit algorithms for nonlinear dynamics of shells // Computer Methods in Applied Mechanics and Engineering. – 1984. – V. 42. – P. 225–251.</mixed-citation><mixed-citation xml:lang="en">Belytschko T., Lin J., Tsay C.S. Explicit Algorithms for Nonlinear Dynamics of Shells. Computer Methods in Applied Mechanics and Engineering, 1984, vol. 42, pp. 225–251.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Belytschko T., Wong B.L., Chiang H.Y. Improvements in low-order shell elements for explicit transient analysis / Analytical and Computational Models of Shells. – New York: ASME, 1989. – P. 383–398.</mixed-citation><mixed-citation xml:lang="en">Belytschko T., Wong B.L., Chiang H.Y. Improvements in low-order shell elements for explicit transient analysis. Analytical and Computational Models of Shells, New York, ASME Publ., 1989, pp. 383–398.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Belytschko T., Bindeman L.P. Assumed strain stabilization of the eight node hexahedral element // Computer Methods in Applied Mechanics and Engineering. – 1993. – V. 105. – P. 225–260.</mixed-citation><mixed-citation xml:lang="en">Belytschko T., Bindeman L.P. Assumed strain stabilization of the eight node hexahedral element. Computer Methods in Applied Mechanics and Engineering, 1993, vol. 105, pp. 225–260.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">ISO/TS 18571:2024. Road vehicles – Objective rating metric for non-ambiguous signals. Geneva, ISO Publ., 2024. – 93 p.</mixed-citation><mixed-citation xml:lang="en">ISO/TS 18571:2024. Road vehicles – Objective rating metric for non-ambiguous signals. Geneva, ISO Publ., 2024. 93 p.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Discrete elements and masses. LS-DYNA Theory Manual. Livermore (CA), Livermore Software Technology Corporation Publ., 2006. Sect. 16.</mixed-citation><mixed-citation xml:lang="en">Discrete elements and masses. LS-DYNA Theory Manual. Livermore (CA), Livermore Software Technology Corporation Publ., 2006. Sect. 16.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Fu Y., Zhan Z., Yang R.J. A study of model validation method for dynamic systems // SAE Technical Paper. – 2010. – No. 2010-01-0419.</mixed-citation><mixed-citation xml:lang="en">Fu Y., Zhan Z., Yang R.J. A study of model validation method for dynamic systems. SAE Technical Paper, 2010, no. 2010-01-0419.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Sarin H., Kokkolaras M., Hulbert G., Papalambros P., Barbat S., Yang R.J. Comparing time histories for validation of simulation models: error measures and metrics // Transactions of the ASME. Journal of Dynamic Systems, Measurement and Control. – 2010. – V. 132, no. 6. – P. 061401.</mixed-citation><mixed-citation xml:lang="en">Sarin H., Kokkolaras M., Hulbert G., Papalambros P., Barbat S., Yang R.J. Comparing time histories for validation of simulation models: error measures and metrics. Transactions of the ASME. Journal of Dynamic Systems, Measurement and Control, 2010, vol. 132, no. 6, p. 061401.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">ISO/TR 16250:2013. Road vehicles – Objective rating metrics for dynamic systems. – Geneva: ISO Publ., 2013. – 30 p.</mixed-citation><mixed-citation xml:lang="en">ISO/TR 16250:2013. Road vehicles – Objective rating metrics for dynamic systems. Geneva, ISO Publ., 2013. 30 p.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
