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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">isplta</journal-id><journal-title-group><journal-title xml:lang="ru">Известия Санкт-Петербургской лесотехнической академии</journal-title><trans-title-group xml:lang="en"><trans-title>Izvestia Sankt-Peterburgskoj lesotehniceskoj akademii</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2079-4304</issn><issn pub-type="epub">2658-5871</issn><publisher><publisher-name>СПбГЛТУ</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21266/2079-4304.2023.245.215-234</article-id><article-id custom-type="elpub" pub-id-type="custom">isplta-74</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>ТЕХНОЛОГИЯ И ОБОРУДОВАНИЕ ЛЕСОЗАГОТОВОК</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>TECHNOLOGY AND EQUIPMENT OF LOGGING INDUSTRIES</subject></subj-group></article-categories><title-group><article-title>Метод динамики частиц: моделирование комбинированного почвообрабатывающего орудия, применяемого при лесовосстановлении и защите леса</article-title><trans-title-group xml:lang="en"><trans-title>Particle dynamics method: simulation of a combined tillage tool used in reforestation and forest protection</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2098-154X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Малюков</surname><given-names>С. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Malyukov</surname><given-names>S. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>МАЛЮКОВ Сергей Владимирович – доцент кафедры механизации лесного хозяйства и проектирования машин, кандидат технических наук</p><p>394087, ул. Тимирязева, д. 8, г. Воронеж</p><p>WoS Researcher ID: N-2656-2016</p><p>Scopus Author ID: 57202542928</p></bio><bio xml:lang="en"><p>MALYUKOV Sergey V. – PhD (Technical), Associate Professor Department of Forestry Mechanization and Machine Design</p><p>394087. Timiryazev str. 8. Voronezh</p><p>WoS Researcher ID: N-2656-2016</p><p>Scopus Author ID: 57202542928</p></bio><email xlink:type="simple">malyukovsergey@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7428-0821</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бухтояров</surname><given-names>Л. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Bukhtoyarov</surname><given-names>L. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>БУХТОЯРОВ Леонид Дмитриевич – доцент кафедры лесной промышленности, метрологии, стандартизации и сертификации, кандидат технических наук, доцент</p><p>394087, ул. Тимирязева, д. 8, г. Воронеж</p><p>WoS Researcher ID: AAO-5129-2020</p><p>Scopus Author ID: 57207453672</p></bio><bio xml:lang="en"><p>BUKHTOYAROV Leonid D. – PhD (Technical), Associate Professor, Associate Professor of the Department of Forest Industry, Metrology, Standardization and Certification</p><p>394087. Timiryazev str. 8. Voronezh</p><p>Researcher ID: AAO-5129-2020</p><p>Scopus Author ID: 57207453672</p></bio><email xlink:type="simple">vglta-mlx@yandex.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3764-3873</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Лысыч</surname><given-names>М. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Lysych</surname><given-names>M. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ЛЫСЫЧ Михаил Николаевич – доцент кафедры лесной промышленности, метрологии, стандартизации и сертификации, кандидат технических наук</p><p>394087, ул. Тимирязева, д. 8, г. Воронеж</p><p>WoS Researcher ID: N-3089-2016</p><p>Scopus Author ID: 57207472657</p></bio><bio xml:lang="en"><p>LYSYCH Mikhail N. – PhD (Technical), Associate Professor of the Department of Forest Industry, Metrology, Standardization and Certification</p><p>394087. Timiryazev str. 8. Voronezh</p><p>WoS Researcher ID: N-3089-2016</p><p>Scopus Author ID: 57207472657</p></bio><email xlink:type="simple">miklynea@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3700-7508</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шавков</surname><given-names>М. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Shavkov</surname><given-names>M. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ШАВКОВ Михаил Викторович – руководитель отдела снабжения и логистики, кандидат технических наук</p><p>394040, ул. Мазлумова, д. 25, г. Воронеж</p></bio><bio xml:lang="en"><p>HAVKOV Mikhail V. – PhD (Technical), Head of Logistics and Supply Department</p><p>394040. Mazlumova str. 25. Voronezh</p></bio><email xlink:type="simple">shavkovmv@mail.ru</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3904-867X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Поздняков</surname><given-names>Е. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Pozdnyakov</surname><given-names>E. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ПОЗДНЯКОВ Евгений Владиславович – научный сотрудник патентного сектора научно-исследовательского отдела, кандидат технических наук</p><p>394087, ул. Тимирязева, д. 8, г. Воронеж</p><p>WoS Researcher ID: AX-9199-2020</p><p>Scopus Author ID: 57207450313</p></bio><bio xml:lang="en"><p>POZDNYAKOV Evgeny V. – PhD (Technical), Research Fellow of the Patent Sector of the Research Department</p><p>394087. Timiryazev str. 8. Voronezh</p><p>WoS Researcher ID: AX-9199-2020</p><p>Scopus Author ID: 57207450313</p></bio><email xlink:type="simple">pozd.ev@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1765-6781</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Петков</surname><given-names>А. Ф.</given-names></name><name name-style="western" xml:lang="en"><surname>Petkov</surname><given-names>A. F.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ПЕТКОВ Александр Федорович – инженер кафедры механизации лесного хозяйства и проектирования машин</p><p>394087, ул. Тимирязева, д. 8, г. Воронеж</p><p>Scopus Author ID: 57219482677</p></bio><bio xml:lang="en"><p>PETKOV Aleksandr F. – Engineer of the Department of Forestry Mechanization and Machine Design</p><p>394087. Timiryazev str. 8. Voronezh</p><p>Scopus Author ID: 57219482677</p></bio><email xlink:type="simple">alexanderpetkoff@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Воронежский государственный лесотехнический университет имени Г.Ф. Морозова</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Voronezh State University of Forestry and Technologies named after G.F. Morozov</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Воронежский государственный лесотехнический университет имени Г.Ф. Морозова</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Voronezh State University of Forestry and Technologies named&#13;
after G.F. Morozov</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>ООО «Русгидроком (РГК)»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Rushydrocom (RGK) LLC</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>17</day><month>02</month><year>2024</year></pub-date><volume>0</volume><issue>245</issue><fpage>215</fpage><lpage>234</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Малюков С.В., Бухтояров Л.Д., Лысыч М.Н., Шавков М.В., Поздняков Е.В., Петков А.Ф., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Малюков С.В., Бухтояров Л.Д., Лысыч М.Н., Шавков М.В., Поздняков Е.В., Петков А.Ф.</copyright-holder><copyright-holder xml:lang="en">Malyukov S.V., Bukhtoyarov L.D., Lysych M.N., Shavkov M.V., Pozdnyakov E.V., Petkov A.F.</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://izvestiya-lta.spbftu.ru/jour/article/view/74">https://izvestiya-lta.spbftu.ru/jour/article/view/74</self-uri><abstract><p>Для теоретического исследования процесса взаимодействия рабочих органов комбинированного орудия с лесной почвой разработана математическая модель. Целью исследования является разработка математической модели на основе метода (DEM), позволяющей оценить влияние параметров комбинированного орудия, технологических параметров процесса и параметров лесной почвы на силовые характеристики, испытываемые орудием. С помощью разработанной модели был проверен принцип комбинирования рабочих органов, то есть одновременная обработка почвы рабочими органами двух или более типов, установленными друг за другом. Для этого проводили компьютерные эксперименты по движению комбинированного орудия в лесной почве до выхода орудия в установившийся режим обработки. На основе серий компьютерных экспериментов с моделью установлен характер влияния параметров комбинированного орудия, технологических параметров процесса и параметров лесной почвы на силовые характеристики, испытываемые орудием. Определено, что сила сопротивления движению комбинированного орудия для влажных липких почв в 0,886 раз ниже суммы сил сопротивления движению отдельных рабочих органов. Для сухих песчаных рассыпчатых почв данный эффект 0,985 практически не выражен. Для моделирования использовался метод динамики частиц. Виртуальный почвенный канал имел длину 4 м и ширину 1,2 м. Горизонтальная скорость движения рабочего органа задавалась равной 1 м/с, а общее модельное время составляло 3 с. Для охвата широкого диапазона параметров лесной почвы проводили эксперименты почвами двух типов: влажным черноземом с существенной связностью почвы и сухой рассыпчатой песчаной почвой.</p></abstract><trans-abstract xml:lang="en"><p>For a theoretical study of the process of interaction between the working bodies of a combined tool with forest soil, a mathematical model has been developed. The aim of the study is to develop a mathematical model based on the method (DEM), which makes it possible to evaluate the influence of the parameters of the combined tool, the technological parameters of the process and the parameters of the forest soil on the power characteristics experienced by the tool. With the help of the developed model, the principle of combining working bodies was tested, that is, simultaneous tillage by working bodies of two or more types installed one after another. For this, computer experiments were carried out on the movement of the combined tool in the forest soil until the tool entered the steady-state processing mode. On the basis of a series of computer experiments with the model, the nature of the influence of the parameters of the combined tool, technological parameters of the process and forest soil parameters on the power characteristics experienced by the tool has been established. It was determined that the force of resistance to the movement of the combined tool for wet sticky soils is 0.886 times lower than the sum of the forces of resistance to the movement of individual working bodies. For dry sandy crumbly soils, this effect of 0.985 is practically not expressed. The particle dynamics method was used for modeling. The virtual soil channel had a length of 4 m and a width of 1.2 m. The horizontal speed of the working body was set equal to 1 m/s, and the total model simulation time was 3 s. To cover a wide range of forest soil parameters, experiments were carried out with soils of two types: wet chernozem with significant soil cohesion and dry crumbly sandy soil.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>комбинированное почвообрабатывающее орудие</kwd><kwd>компьютерный эксперимент</kwd><kwd>метод динамики частиц</kwd><kwd>лесная почва</kwd></kwd-group><kwd-group xml:lang="en"><kwd>combined tillage implement</kwd><kwd>computer experiment</kwd><kwd>particle dynamics method</kwd><kwd>forest soil</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено за счет гранта Российского научного фонда № 22-79-10010, https://rscf.ru/project/22-79-10010/</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Лысыч М.Н. Компьютерное моделирование процесса обработки почвы рабочими органами почвообрабатывающих машин // Компьютерные исследования и моделирование. 2020. Т. 12. № 3. С. 607–627. DOI: 10.20537/2076-7633-2020-12-3-607-627</mixed-citation><mixed-citation xml:lang="en">Asaf Z., Rubinstein D., Shmulevich I. Determination of discrete element model parameters required for soil tillage. Soil Tillage Res., 2007, no. 92, pp. 227–242. DOI: 10.1016/j.still.2021.105123</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Суравкин А.Ю. Реализация метода SPH на CUDA для моделирования несжимаемых жидкостей // Наука и образование. 2012. № 7. С. 87–106. DOI: 10.7463/0712.0423582.</mixed-citation><mixed-citation xml:lang="en">Batou A., Soize C., Kyu Choi C., Hee Yoo H. Robust design in multibody dynamics – application to vehicle ride-comfort optimization. Procedia IUTAM, 2015, no. 13, pp. 90-97. DOI: 10.1016/j.piutam.2015.01.005.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Asaf Z., Rubinstein D., Shmulevich I. Determination of discrete element model parameters required for soil tillage // Soil Tillage Res. 2007. No. 92. P. 227–242. DOI:10.1016/j.still.2021.105123.</mixed-citation><mixed-citation xml:lang="en">Bentaher H., Ibrahmi A., Hamza E., Hbaieb M., Kantchev G., Maalej A., Arnold W. Finite element simulation of moldboard-soil interaction. Soil and Tillage Research, 2013, no. 134, pp. 11–16. DOI: 10.1016/j.still.2013.07.002</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Batou A., Soize C., Kyu Choi C., Hee Yoo H. Robust design in multibody dynamics – application to vehicle ride-comfort optimization // Procedia IUTAM. 2015. No. 13. P. 90–97. DOI: 10.1016/j.piutam.2015.01.005.</mixed-citation><mixed-citation xml:lang="en">Bolintineanu D.S., Grest G.S., Lechman J.B., Pierce F., Plimpton S.J., Schunk P.R. Particle Dynamics Modeling for Colloid Suspensions. Comp. Part. Mech., 2014, no. 1, pp. 321–356. DOI: 10.1007/s40571-014-0007-6.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Bentaher H., Ibrahmi A., Hamza E., Hbaieb M., Kantchev G., Maalej A., Arnold W. Finite element simulation of moldboard-soil interaction // Soil and Tillage Research. 2013. No. 134. P. 11–16. DOI:10.1016/j.still.2013.07.002.</mixed-citation><mixed-citation xml:lang="en">Chen Y., Munkholm L.J., Nyord T. A discrete element model for soil–sweep interaction in three different soils. Soil Tillage Res., 2013, no. 126, pp. 34–41. DOI: 10.1016/j.still.2012.08.008</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Bolintineanu D.S., Grest G.S., Lechman J.B., Pierce F., Plimpton S.J., Schunk P.R. Particle Dynamics Modeling for Colloid Suspensions // Comp. Part. Mech. 2014. No. 1. P. 321–356. DOI: 10.1007/s40571-014-0007-6.</mixed-citation><mixed-citation xml:lang="en">Hang C., Gao X., Yuan M., Huang Y. Discrete element simulations and experiments of soil disturbance as affected by the tine spacing of subsoiler. Biosyst. Eng., 2017, no. 168, pp. 73–82. DOI: 10.1016/j.biosystemseng.2017.03.008</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Chen Y., Munkholm L.J., Nyord T. A discrete element model for soil–sweep interaction in three different soils // Soil Tillage Res. 2013. No. 126. P. 34–41. DOI: 10.1016/j.still.2012.08.008.</mixed-citation><mixed-citation xml:lang="en">Ibrahmi A., Bentaher H., Hbaieb M., Maalej A., Mouazen A.M. Study of the effect of tool geometry and operational conditions on mouldboard plough forces and energy requirement: Part 1. Finite element simulation. Comput. Electron. Agric., 2015, no. 117, pp. 258–267. DOI: 10.1016/j.compag.2015.08.006</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Hang C., Gao X., Yuan M., Huang Y. Discrete element simulations and experiments of soil disturbance as affected by the tine spacing of subsoiler // Biosyst. Eng. 2017. No. 168. P. 73–82. DOI:10.1016/j.biosystemseng.2017.03.008.</mixed-citation><mixed-citation xml:lang="en">Ibrahmi A., Bentaher H., Hamza E., Maalej A., Mouazen A.M. 3D finite element simulation of the effect of mouldboard plough’s design on both the energy consumption and the tillage quality. International Journal of Advanced Manufacturing Technology, 2017, no. 90, pp. 473–487. DOI: 10.1007/s00170-016-9391-9.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Ibrahmi A., Bentaher H., Hbaieb M., Maalej A., Mouazen A.M. Study of the effect of tool geometry and operational conditions on mouldboard plough forces and energy requirement: Part 1. Finite element simulation // Comput Electron. Agric. 2015. No. 117. P. 258–267. DOI:10.1016/j.compag.2015.08.006</mixed-citation><mixed-citation xml:lang="en">Jafari R. Numerical approximation of elliptic partial differential equations on soil-tool interaction problems using advanced nonlinear finite element approach. Int. J. Math. Comput. Simul., 2008, no. 2, pp. 223–227.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Ibrahmi A., Bentaher H., Hamza E., Maalej A., Mouazen A.M. 3D finite element simulation of the effect of mouldboard plough’s design on both the energy consumption and the tillage quality // International Journal of Advanced Manufacturing Technology. 2017. No. 90. P. 473–487. DOI: 10.1007/s00170-016-9391-9.</mixed-citation><mixed-citation xml:lang="en">Jakob C., Konietzky H. Particle Methods, Freiberg, 2014. 22 p.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Jafari R. Numerical approximation of elliptic partial differential equations on soil-tool interaction problems using advanced nonlinear finite element approach // Int. J. Math. Comput. Simul. 2008. No. 2. P. 223–227.</mixed-citation><mixed-citation xml:lang="en">Lysych M.N. Three-dimensional virtual dynamometer to measure the process of overcoming obstacles by disc cultivator. IOP Conf. Ser. Earth Environ. Sci., 2019, no. 392, 012054. DOI: 10.1088/1755-1315/392/1/012054</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Jakob C., Konietzky H. Particle Methods. Freiberg. 2014. 22 p.</mixed-citation><mixed-citation xml:lang="en">Lysych M.N., Shabanov M.L., Bukhtoyarov L.D. Research of process overcoming obstacles by tillage tools. IOP Conf. Ser. Earth Environ. Sci., 2019, no. 226, 012045. DOI: 10.1088/1755-1315/226/1/012045</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Lysych M.N. Three-dimensional virtual dynamometer to measure the process of overcoming obstacles by disc cultivator // IOP Conf. Ser. Earth Environ. Sci. 2019. No. 392. 012054. DOI: 10.1088/1755-1315/392/1/012054</mixed-citation><mixed-citation xml:lang="en">Lysych M.N. Modeling of the process of tillage by working bodies of soilcultivating machines. Computer research and modeling, 2020, vol. 12, no. 3, pp. 607–627. DOI: 10.20537/2076-7633-2020-12-3-607-627 (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Lysych M.N., Shabanov M.L., Bukhtoyarov L.D. Research of process overcoming obstacles by tillage tools // IOP Conf. Ser. Earth Environ. Sci. 2019. No. 226. 012045. DOI:10.1088/1755-1315/226/1/012045</mixed-citation><mixed-citation xml:lang="en">Mak J., Chen Y., Sadek M.A. Determining parameters of a discrete element model for soil – tool interaction. Soil &amp; Tillage Research, 2012, no. 118, pp. 117–122. DOI: 10.1016/j.still.2011.10.019</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Mak J., Chen Y., Sadek M.A. Determining parameters of a discrete element model for soil – tool interaction // Soil &amp; Tillage Research. 2012. No. 118. P. 117–122. DOI:10.1016/j.still.2011.10.019</mixed-citation><mixed-citation xml:lang="en">Ovsyanko V., Petrovsky A. The computer modeling of interaction between sharemoulboard surface of plough and soil. J. Res. Appl. Agric. Eng., 2014, no. 59, pp. 100–103.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Ovsyanko V., Petrovsky A. The computer modeling of interaction between sharemoulboard surface of plough and soil // J. Res. Appl. Agric. Eng. 2014. No. 59. P. 100–103.</mixed-citation><mixed-citation xml:lang="en">Suravkin A.Yu. Implementation of the SPH method on CUDA for modeling incompressible fluids. Nauka i obrazovanie, 2012, no. 7, pp. 87–106. DOI: 10.7463/0712.0423582. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Teixeira R.R., Moreira S.R.D.S., Tavares S.M.O. Multibody Dynamics simulation of an electric bus // Procedia Engineering. 2015. No. 114. P. 470–477. DOI: 10.1016/j.proeng.2015.08.094</mixed-citation><mixed-citation xml:lang="en">Teixeira R.R., Moreira S.R.D.S., Tavares S.M.O. Multibody Dynamics simulation of an electric bus. Procedia Engineering, 2015, no. 114, pp. 470–477. DOI: 10.1016/j.proeng.2015.08.094.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Ucgul M., Saunders C., Fielke J.M. Comparison of the discrete element and finite element methods to model the interaction of soil and tool cutting edge // Biosyst. Eng. 2018. No. 169. P. 199–208. DOI:10.1016/j.biosystemseng.2018.03.003.</mixed-citation><mixed-citation xml:lang="en">Ucgul M., Saunders C., Fielke J.M. Comparison of the discrete element and finite element methods to model the interaction of soil and tool cutting edge. Biosyst. Eng., 2018, no. 169, pp. 199–208. DOI: 10.1016/j.biosystemseng.2018.03.003.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Ucgul M., Saunders C., Fielke J.M. Discrete element modelling of tillage forces and soil movement of a one-third scale mouldboard plough // Biosyst. Eng. 2017. No. 155. P. 44–54. DOI: 10.1016/j.biosystemseng.2016.12.002</mixed-citation><mixed-citation xml:lang="en">Ucgul M., Saunders C., Fielke J.M. Discrete element modelling of tillage forces and soil movement of a one-third scale mouldboard plough. Biosyst. Eng., 2017, no. 155, pp. 44–54. DOI: 10.1016/j.biosystemseng.2016.12.002.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Ucgul M., Saunders C., Li P., Lee S. Analyzing the mixing performance of a rotary spader using digital image processing and discrete element modelling (DEM) // Comput. Electron. Agric. 2018. No. 151. P. 1–10. DOI:10.1016/j.compag.2018.05.028.</mixed-citation><mixed-citation xml:lang="en">Ucgul M., Saunders C., Li P., Lee S. Analyzing the mixing performance of a rotary spader using digital image processing and discrete element modelling (DEM). Comput. Electron. Agric., 2018, no. 151, pp. 1–10. DOI: 10.1016/j.compag.2018.05.028.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Urbán M., Kotrocz K., Kerényi G. Investigation of the soil-tool interaction by SPH (Smooth Particle Hydrodynamics) based simulation. In Power and Machinery // International Conference of Agricultural Engineering-CIGR-AgEng 2012: agriculture and engineering for a healthier life, Valencia, Spain, 2012.</mixed-citation><mixed-citation xml:lang="en">Urbán M., Kotrocz K., Kerényi G. Investigation of the soil-tool interaction by SPH (Smooth Particle Hydrodynamics) based simulation. In Power and Machinery. International Conference of Agricultural Engineering-CIGR-AgEng 2012: agriculture and engineering for a healthier life, Valencia, Spain, 2012.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Wu G., Fan G., Guo J., Wu G. Ride comfort evaluation for road vehicle based on rigid flexible coupling multibody dynamics // Theoretical &amp; Applied Mechanics Letters. 2013. No. 3. 13004. DOI:10.1063/2.1301304.</mixed-citation><mixed-citation xml:lang="en">Wu G., Fan G., Guo J., Wu G. Ride comfort evaluation for road vehicle based on rigid flexible coupling multibody dynamics. Theoretical &amp; Applied Mechanics Letters, 2013, no. 3, 13004. DOI: 10.1063/2.1301304</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>
