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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Structural Mechanics of Engineering Constructions and Buildings</journal-id><journal-title-group><journal-title xml:lang="en">Structural Mechanics of Engineering Constructions and Buildings</journal-title><trans-title-group xml:lang="ru"><trans-title>Строительная механика инженерных конструкций и сооружений</trans-title></trans-title-group></journal-title-group><issn publication-format="print">1815-5235</issn><issn publication-format="electronic">2587-8700</issn><publisher><publisher-name xml:lang="en">Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">39216</article-id><article-id pub-id-type="doi">10.22363/1815-5235-2024-20-2-97-108</article-id><article-id pub-id-type="edn">EALRET</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Analysis and design of building structures</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Расчет и проектирование строительных конструкций</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Parameterization of Maxwell - Cremona Diagram for Determining Forces in Elements of a Scissors Truss</article-title><trans-title-group xml:lang="ru"><trans-title>Параметризация диаграммы Максвелла - Кремоны для определения усилий в элементах треугольной фермы типа «ножницы»</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9107-6606</contrib-id><contrib-id contrib-id-type="spin">8650-1055</contrib-id><name-alternatives><name xml:lang="en"><surname>Repin</surname><given-names>Vladimir A.</given-names></name><name xml:lang="ru"><surname>Репин</surname><given-names>Владимир Анатольевич</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Technical Sciences, Associate Professor of the Department of Building Structures, Institute of Аrchitecture, Civil Engineering and Energy</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент кафедры строительных конструкций, Институт архитектуры, строительства и энергетики</p></bio><email>skia2000@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6065-678X</contrib-id><contrib-id contrib-id-type="spin">8745-0004</contrib-id><name-alternatives><name xml:lang="en"><surname>Lukina</surname><given-names>Anastasia V.</given-names></name><name xml:lang="ru"><surname>Лукина</surname><given-names>Анастасия Васильевна</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Technical Sciences, Associate Professor of the Department of Building Structures, Institute of Аrchitecture, Civil Engineering and Energy</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент кафедры строительных конструкций, Институт архитектуры, строительства и энергетики</p></bio><email>pismo.33@yandex.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6338-6241</contrib-id><contrib-id contrib-id-type="spin">6632-0378</contrib-id><name-alternatives><name xml:lang="en"><surname>Strekalkin</surname><given-names>Artem A.</given-names></name><name xml:lang="ru"><surname>Стрекалкин</surname><given-names>Артем Андреевич</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Technical Sciences, Associate Professor of the Department of Building Structures, Institute of Аrchitecture, Civil Engineering and Energy</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент кафедры строительных конструкций, Институт архитектуры, строительства и энергетики</p></bio><email>a.a.strekalkin@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Vladimir State University named after Alexander Grigoryevich and Nikolai Grigoryevich Stoletovs</institution></aff><aff><institution xml:lang="ru">Владимирский государственный университет имени Александра Григорьевича и Николая Григорьевича Столетовых</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2024-05-15" publication-format="electronic"><day>15</day><month>05</month><year>2024</year></pub-date><volume>20</volume><issue>2</issue><issue-title xml:lang="en">VOL 20, NO2 (2024)</issue-title><issue-title xml:lang="ru">ТОМ 20, №2 (2024)</issue-title><fpage>97</fpage><lpage>108</lpage><history><date date-type="received" iso-8601-date="2024-05-21"><day>21</day><month>05</month><year>2024</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2024, Repin V.A., Lukina A.V., Strekalkin A.A.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2024, Репин В.А., Лукина А.В., Стрекалкин А.А.</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="en">Repin V.A., Lukina A.V., Strekalkin A.A.</copyright-holder><copyright-holder xml:lang="ru">Репин В.А., Лукина А.В., Стрекалкин А.А.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/structural-mechanics/article/view/39216">https://journals.rudn.ru/structural-mechanics/article/view/39216</self-uri><abstract xml:lang="en"><p style="text-align: justify;">An analysis of changing patterns of the values of member forces in a scissors truss, depending on the position of connections of its lower chords to the upper chords, is performed. Exploring effective truss structure designs in terms of balanced combination of maximum strength and minimum weight is a sustainable approach to a more rational use of building materials and the development of green construction. This determines the relevance of this area of research. The analysis of configurations of the truss under study was performed using the parameterized Maxwell - Cremona diagram. Such diagram is a visually informative tool in presenting the calculation results and it fully reflects the relationship between the member forces and the parameters of the structure. The research process was performed using the MS Excel spreadsheet editor. This eventually developed into a software tool for finding effective scissors truss designs, which has full potential for further improvement and development. Thus, the functionality of the tool can be easily expanded to designing scissors trusses made of various structural materials, as well as with various crosssectional shapes of its elements. The proposed approach to the calculation of such structures can serve as a basis for parameterization of trusses with other types of web.</p></abstract><trans-abstract xml:lang="ru"><p style="text-align: justify;">Выполнен расчет по определению характера изменения значений усилий в элементах треугольной фермы типа «ножницы» в зависимости от положения точек примыкания ветвей её нижнего пояса к элементам верхнего пояса. Изыскание эффективных конструктивных решений ферм в контексте гармоничного сочетания максимальной прочности и минимального веса конструкции является устойчивым подходом к более рациональному использованию строительных материалов и развитию зеленого строительства. Это обуславливает актуальность данного направления исследований. Анализ вариантов конфигурации треугольной исследуемой фермы выполнен с помощью параметризованной диаграммы Максвелла - Кремоны, которая является наглядным инструментом в представлении результатов расчета и полноценно отражает зависимость усилий в элементах конструкции от ее параметров. Процесс исследований был воплощен с помощью табличного процессора MS Excel, что сложилось в программное средство для поиска эффективных конструктивных решений ферм типа «ножницы», которое в полной мере обладает потенциалом к дальнейшему совершенствованию и развитию. Функционал программы может быть расширен до возможности проектирования ферм типа «ножницы» из различных конструкционных материалов, а также для различных форм поперечного сечения ее элементов. Предлагаемый подход к расчёту таких конструкций может послужить основой для параметризации ферм с другими типами стержневой решётки.</p></trans-abstract><kwd-group xml:lang="en"><kwd>construction</kwd><kwd>design</kwd><kwd>buildings</kwd><kwd>Maxwell - Cremona diagrams</kwd><kwd>truss</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>строительство</kwd><kwd>проектирование</kwd><kwd>здания</kwd><kwd>диаграммы Максвелла - Кремоны</kwd><kwd>ферма</kwd></kwd-group><funding-group><funding-statement xml:lang="en">The work was carried out with the financial support of the Ministry of Science and Higher Education of the Russian Federation within the state assignment in the field of scientific activity (theme FZUN-2024-0004, state assignment of the VlSU).</funding-statement><funding-statement xml:lang="ru">Работа выполнена при финансовой поддержке Министерства науки и высшего образования Российской Федерации в рамках государственного задания в сфере научной деятельности (тема FZUN-2024-0004, госзадание ВлГУ).</funding-statement></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Garifullin M.R., Naumova E.A., Zhuvak O.V., Barabash A.V. Surrogate modeling in construction. Construction of unique buildings and structures. 2016;2(41):118-132. (In Russ.) EDN VPWHRR</mixed-citation><mixed-citation xml:lang="ru">Гарифуллин М.Р., Наумова Е.А., Жувак О.В., Барабаш А.В. Суррогатное моделирование в строительстве // Строительство уникальных зданий и сооружений. 2016. № 2(41). С. 118–132. EDN VPWHRR</mixed-citation></citation-alternatives></ref><ref id="B2"><label>2.</label><citation-alternatives><mixed-citation xml:lang="en">Chibrikin D.A., Lukin M.V., Lukina A.V., Tyurikova T.V., Roshchina S.I. Numerical investigation of the stressstrain state of a modified wooden beam. Izvestia of higher educational institutions. Forest Journal. 2022;3(387):167-178. (In Russ.) https://doi.org/10.37482/0536-1036-2022-3-167-178</mixed-citation><mixed-citation xml:lang="ru">Чибрикин Д.А., Лукин М.В., Лукина А.В., Тюрикова Т.В., Рощина С.И. Численное исследование напряженнодеформированного состояния модифицированной деревянной балки // Известия высших учебных заведений. Лесной журнал. 2022. № 3(387). С. 167–178. http://doi.org/10.37482/0536-1036-2022-3-167-178</mixed-citation></citation-alternatives></ref><ref id="B3"><label>3.</label><citation-alternatives><mixed-citation xml:lang="en">Schulze B., Millar C. Graphic statics and symmetry. International Journal of Solidsand Structures. 2023, 112492. http://doi.org/10.1016/j.ijsolstr.2023.112492</mixed-citation><mixed-citation xml:lang="ru">Schulze B., Millar C. Graphic statics and symmetry. International Journal of Solidsand Structures. 2023. Vol. 283. http://doi.org/10.1016/j.ijsolstr.2023.112492</mixed-citation></citation-alternatives></ref><ref id="B4"><label>4.</label><citation-alternatives><mixed-citation xml:lang="en">Markou A.A., Ruan G. Graphic statics: projective funicular polygon. Structures. 2022;41:1390-1396. http://doi.org/10.1016/j.istruc.2022.05.049</mixed-citation><mixed-citation xml:lang="ru">Markou A.A., Ruan G. Graphic statics: projective funicular polygon// Structures. 2022. Vol. 41. P.1390–1396. http://doi.org/10.1016/j.istruc.2022.05.049</mixed-citation></citation-alternatives></ref><ref id="B5"><label>5.</label><citation-alternatives><mixed-citation xml:lang="en">Lu Y., Hablicsek M., Akbarzadeh M. Algebraic 3D Graphic Statics with Edge and Vertex Constraints: AComprehensive Approach to Extend the Solution Space for Polyhedral Form-Finding. Computer-Aided Design. 2024;166:103620. http://doi.org/10.1016/j.cad.2023.103620</mixed-citation><mixed-citation xml:lang="ru">Lu Y., Hablicsek M., Akbarzadeh M. Algebraic 3D Graphic Statics with Edge and Vertex Constraints: A Comprehensive Approach to Extend the Solution Space for Polyhedral Form-Finding // Computer-Aided Design. 2024. Vol. http://doi.org/10.1016/j.cad.2023.103620</mixed-citation></citation-alternatives></ref><ref id="B6"><label>6.</label><citation-alternatives><mixed-citation xml:lang="en">Radhi A., Iacobellis V., Behdinan K. Manipulation of topologically optimized structures using graphic statics.Materialsand Design. 2021;198:109286. http://doi.org/10.1016/j.matdes. 2020.109286</mixed-citation><mixed-citation xml:lang="ru">Radhi A., Iacobellis V., Behdinan K. Manipulation of topologically optimized structures using graphic statics // Materialsand Design. 2021. Vol. 198. http://doi.org/10.1016/j.matdes.2020.109286</mixed-citation></citation-alternatives></ref><ref id="B7"><label>7.</label><citation-alternatives><mixed-citation xml:lang="en">Sergeev M., Rimshin V., Lukin M., Zdralovic N. Multi-span composite beam. IOP Conference Series: Materials Science and Engineering. 2020;896:012058. https://doi.org/10.1088/1757-899X/896/1/012058</mixed-citation><mixed-citation xml:lang="ru">Sergeev M., Rimshin V., Lukin M., Zdralovic N. Multi-span composite beam // IOP Conference Series: Materials Science and Engineering. 2020. Vol. 896. https://doi.org/10.1088/1757-899X/896/1/012058</mixed-citation></citation-alternatives></ref><ref id="B8"><label>8.</label><citation-alternatives><mixed-citation xml:lang="en">Xu Z., Cui Y., Li B. Truss Structure Optimization Design Based on FE-PSO-SQP Algorithm. In: Kountchev R., Mironov R., Nakamatsu K. (eds). New Approaches for Multidimensional Signal Processing. NAME SP2022. Smart Innovation, Systems and Technologies. Singapore: Springer; 2022;332:151-158. https://doi.org/10.1007/978-981-19-7842-5_14</mixed-citation><mixed-citation xml:lang="ru">Xu Z., Cui Y., Li B. Truss Structure Optimization Design Based on FE-PSO-SQP Algorithm. In: Kountchev R., Mironov R., Nakamatsu K. (eds). New Approaches for Multidimensional Signal Processing. NAME SP2022. Smart Innovation, Systems and Technologies. Singapore: Springer. 2022. Vol. 332. P. 151–158. https://doi.org/10.1007/978-981-19-7842-5_14</mixed-citation></citation-alternatives></ref><ref id="B9"><label>9.</label><citation-alternatives><mixed-citation xml:lang="en">Zhidkov K.E., Zverev V.V., Kapyrin N.V. Experimental field studies of wooden trusses on metal toothed plates. Construction mechanics and structures. 2021;4(31):90-98. (In Russ.) https://doi.org/10.36622/VSTU.2021.31.4.008</mixed-citation><mixed-citation xml:lang="ru">Жидков К.Е., Зверев В.В., Капырин Н.В. Экспериментальные натурные исследования деревянных ферм на металлических зубчатых пластинах // Строительная механика и конструкции. 2021. № 4 (31). С. 90–98. https:// doi.org/10.36622/VSTU.2021.31.4.008</mixed-citation></citation-alternatives></ref><ref id="B10"><label>10.</label><citation-alternatives><mixed-citation xml:lang="en">Larsen S.D., Sigmund O., Groen J. Optimal truss and frame design from projected homogenization-basedtopology optimization. Structural and Multidisciplinary Optimization. 2018;57(4):1461-1474. https://doi.org/10.1007/s00158-018-1948-9</mixed-citation><mixed-citation xml:lang="ru">Larsen S.D., Sigmund O., Groen J., Optimal truss and frame design from projected homogenization-based topology optimization // Structural and Multidisciplinary Optimization. 2018. Vol. 57(4). P. 1461–1474. https://doi.org/10.1007/s00158018-1948-9</mixed-citation></citation-alternatives></ref><ref id="B11"><label>11.</label><citation-alternatives><mixed-citation xml:lang="en">Lukin M.V., Chibrikin D.A., Roshchina S.I. Numerical studies of modified composite beams taking into accountthe physical nonlinearity of wood. News of higher educational institutions. Construction. 2023;5(773):5-19. (In Russ.) https://doi.org /10.32683/0536-1052-2023-773-5-5-19</mixed-citation><mixed-citation xml:lang="ru">Лукин М.В., Чибрикин Д.А., Рощина С.И. Численные исследования модифицированных композитных балок с учетом физической нелинейности древесины // Известия высших учебных заведений. Строительство. 2023. № 5(773). С. 5–19. https://doi.org/10.32683/0536-1052-2023-773-5-5-19</mixed-citation></citation-alternatives></ref><ref id="B12"><label>12.</label><citation-alternatives><mixed-citation xml:lang="en">Cai S., Zhang H., Zhang W. An integrated design approach for simultaneous shape and topology optimization ofshell structures. Computer Methods in Applied Mechanics and Engineering. 2023;415:116218. https://doi.org/10.1016/j.cma.2023.116218</mixed-citation><mixed-citation xml:lang="ru">Cai S., Zhang H., Zhang W. An integrated design approach for simultaneous shape and topology optimization of shell structures // Computer Methods in Applied Mechanics and Engineering. 2023. Vol. 415. https://doi.org/10.1016/ j.cma.2023.116218</mixed-citation></citation-alternatives></ref><ref id="B13"><label>13.</label><citation-alternatives><mixed-citation xml:lang="en">Khokhlov A.V. Properties of a family of constant-velocity loading curves generated by a nonlinear Maxwell-typeviscoelastic plasticity model. Mechanical engineering and engineering education. 2017;1(50):57-71. EDN YLIVPZ</mixed-citation><mixed-citation xml:lang="ru">Хохлов А.В. Свойства семейства кривых нагружения с постоянной скоростью, порождаемых нелинейной моделью вязкоупругопластичности типа Максвелла // Машиностроение и инженерное образование. 2017. № 1 (50). С. 57–71. EDN YLIVPZ</mixed-citation></citation-alternatives></ref><ref id="B14"><label>14.</label><citation-alternatives><mixed-citation xml:lang="en">Buzurukov Zh.I., Segaev I.N. Farms. Pridneprovsky scientific bulletin. 2019;5(5):12-15. (In Russ.) EDN DNWNVJ</mixed-citation><mixed-citation xml:lang="ru">Бузуруков Ж.И., Сегаев И.Н. Фермы // Приднепровский научный вестник. 2019. Т. 5. № 5. С. 12–15. EDN DNWNVJ</mixed-citation></citation-alternatives></ref><ref id="B15"><label>15.</label><citation-alternatives><mixed-citation xml:lang="en">Massafra A., Prati D., Predari G., Gulli R. Wooden truss analysis, preservation strategies, and digital documentation through parametric 3D modeling and HBIM workflow. Sustainability. 2020;12(12):4975. https://doi.org/10.3390/su12124975</mixed-citation><mixed-citation xml:lang="ru">Massafra A., Prati D., Predari G., Gulli R. Wooden truss analysis, preservation strategies, and digital documentation through parametric 3D modeling and HBIM workflow // Sustainability. 2020. Vol. 12(12). https://doi.org/10.3390/su12124975</mixed-citation></citation-alternatives></ref><ref id="B16"><label>16.</label><citation-alternatives><mixed-citation xml:lang="en">Repin V.A., Lukina A.V., Usov A.S. Rational constructive solutions of triangular farms. Construction mechanics of engineering structures and structures. 2023;19(2):199-209. (In Russ.) http://doi.org/10.22363/1815-5235-2023192-199-209</mixed-citation><mixed-citation xml:lang="ru">Репин В.А., Лукина А.В., Усов А.С. Рациональные конструктивные решения треугольных ферм // Строительная механика инженерных конструкций и сооружений. 2023. Т. 19. № 2. С. 199–209. http://doi.org/10.22363/1815-5235-202319-2-199-209</mixed-citation></citation-alternatives></ref><ref id="B17"><label>17.</label><citation-alternatives><mixed-citation xml:lang="en">Marutyan A.S. Steel lattice structures made of square pipes with upper belts reinforced with channels, and theircalculation. Construction mechanics and calculation of structures. 2015;5(262):62-69. (In Russ.) EDN UIXKZX</mixed-citation><mixed-citation xml:lang="ru">Марутян А.С. Стальные решетчатые конструкции из квадратных труб с верхними поясами, усиленными швеллерами, и их расчет // Строительная механика и расчет сооружений. 2015. № 5(262). С. 62–69. EDN UIXKZX</mixed-citation></citation-alternatives></ref><ref id="B18"><label>18.</label><citation-alternatives><mixed-citation xml:lang="en">Khudyakov V.A., Pastushkov V.G. Designing farms using main voltage lines. Transport. Transport facilities. Ecology. 2015;1:131-147. EDN TXOYRR</mixed-citation><mixed-citation xml:lang="ru">Ходяков В.А., Пастушков В.Г. Проектирование ферм с использованием линий главных напряжений // Транспорт. Транспортные сооружения. Экология. 2015. № 1. С. 131–147. EDN TXOYRR</mixed-citation></citation-alternatives></ref><ref id="B19"><label>19.</label><citation-alternatives><mixed-citation xml:lang="en">Bolhassani M., Akbarzadeh M., Mahnia M., Taherian R. On structural behavior of a funicular concrete polyhedralframe designed by 3D graphic statics. Structures. 2018;(14):56-68. https://doi.org/10.1016/j.istruc.2018.02.002</mixed-citation><mixed-citation xml:lang="ru">Bolhassani M., Akbarzadeh M., Mahnia M., Taherian R. On structural behavior of a funicular concrete polyhedral frame designed by 3D graphic statics // Structures. 2018. Vol. 14. P 56–68. https://doi.org/10.1016/j.istruc.2018.02.002</mixed-citation></citation-alternatives></ref><ref id="B20"><label>20.</label><citation-alternatives><mixed-citation xml:lang="en">Kholodar B.G. Determination of the stress-strain state of a farm using the Maxwell - Cremona diagram. Bulletin of the Brest State Technical University. Construction and architecture. 2016;1(97):39-42. (In Russ.) EDN YWUOCL</mixed-citation><mixed-citation xml:lang="ru">Холодарь Б.Г. Определение напряженно-деформированного состояния фермы с использованием диаграммы Максвелла-Кремоны // Вестник Брестского государственного технического университета. Строительство и архитектура. 2016. № 1(97). С. 39–42. EDN YWUOCL</mixed-citation></citation-alternatives></ref><ref id="B21"><label>21.</label><citation-alternatives><mixed-citation xml:lang="en">Shishov I.I., Lisyatnikov M.S., Roshchina S.I., Lukina A.V. Covering of a single-storey industrial building withwide beams of box-shaped cross-section of stepwise variable height. Bulletin of the South Ural State University. Series: Construction and Architecture. 2021;21(1):22-29. (In Russ.) https://doi.org/10.14529/build210103</mixed-citation><mixed-citation xml:lang="ru">Шишов И.И., Лисятников М.С., Рощина С.И., Лукина А.В. Покрытие одноэтажного промышленного здания широкими балками коробчатого поперечного сечения ступенчато переменной высоты // Вестник Южно-Уральского государственного университета. Серия: Строительство и архитектура. 2021. Т. 21. № 1. С. 22–29. https://doi.org/ 10.14529/build210103</mixed-citation></citation-alternatives></ref><ref id="B22"><label>22.</label><citation-alternatives><mixed-citation xml:lang="en">van Sosin B., Rodin D., Sliusarenko H., Bartoň M., Elber G. The Construction of Conforming-to-shape Truss Lattice Structures via 3D Sphere Packing. CAD Computer-Aided Design. 2021;132:102962. https://doi.org/10.1016/j.cad.2020.102962</mixed-citation><mixed-citation xml:lang="ru">van Sosin B., Rodin D., Sliusarenko H., Bartoň M., Elber G. The Construction of Conforming-to-shape Truss Lattice Structures via 3D Sphere Packing // CAD Computer-Aided Design. 2021. Vol. 132. https://doi.org/10.1016/j.cad. 2020.102962</mixed-citation></citation-alternatives></ref></ref-list></back></article>
