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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 pub-id-type="doi">10.51187/0135-3152-2021-3-6-21</article-id><article-id custom-type="elpub" pub-id-type="custom">nami-193</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>Применение древовидных логических схем и информационных систем при анализе автоматических коробок передач</article-title><trans-title-group xml:lang="en"><trans-title>Application of decision logic trees and game-tree structures in analysis of automatic transmission gearboxes</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3017-5998</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Дептула</surname><given-names>А.</given-names></name><name name-style="western" xml:lang="en"><surname>Deptuła</surname><given-names>A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Дептула Адам, PhD (Eng)</p><p> г. Ополе 45-758, Польша</p></bio><bio xml:lang="en"><p>Deptuła A., PhD (Eng)</p><p>Opole 45-758, Poland</p></bio><email xlink:type="simple">a.deptula@po.edu.pl</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>Курмаев</surname><given-names>Р. Х.</given-names></name><name name-style="western" xml:lang="en"><surname>Kurmaev</surname><given-names>R. Kh.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Курмаев Ринат Ханяфиевич, канд. техн. наук, ведущий специалист</p><p>г. Москва 125438, Российская Федерация</p></bio><bio xml:lang="en"><p>Kurmaev R.Kh., PhD (Eng), leading specialist</p><p>Moscow 125438, Russian Federation</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Факультет технологии производства и логистики, Опольский технологический университет</institution><country>Польша</country></aff><aff xml:lang="en"><institution>Faculty of Production Engineering and Logistics, Opole University of Technology</institution><country>Poland</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Центр «Энергоустановки», ГНЦ РФ ФГУП «НАМИ»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Centre “Power units”, 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>2021</year></pub-date><pub-date pub-type="epub"><day>05</day><month>10</month><year>2021</year></pub-date><volume>0</volume><issue>3</issue><fpage>6</fpage><lpage>21</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Дептула А., Курмаев Р.Х., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Дептула А., Курмаев Р.Х.</copyright-holder><copyright-holder xml:lang="en">Deptuła A., Kurmaev R.K.</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/193">https://nami.elpub.ru/jour/article/view/193</self-uri><abstract><p>Введение (постановка задачи и актуальность). При построении моделей автоматических коробок передач (АКП) используются методы графов, древовидных логических схем и структур дерева игры. С помощью метода графов могут быть определены передаточные отношения отдельных шестерней, а также выполнен анализ значений скорости и ускорения отдельных вращающихся элементов.</p><p>Цель исследования – обосновать практическое применение древовидных схем принятия решений при анализе АКП, смоделированных с помощью графа Хсю.</p><p>Методология и методы. Представлен метод генерирования структур дерева игры, позволяющий менять значения параметров решения. Указание порядка значимости, в котором отдельные элементы должны переходить в активный режим, позволяет обнаружить так называемые избыточные или временно избыточные компоненты для текущей рассматриваемой передачи.</p><p>Результаты и научная новизна. На каждом этапе оптимизации генерируется дерево с подбором оптимальных решений. Затем к дереву могут быть добавлены вершины, представляющие собой оптимальные отклики системы на изменения арифметических параметров построения.</p><p>Практическая значимость заключается в возможности выбора оптимальной среды программирования с последующей установкой программы для проведения исследований в лабораторных условиях.</p></abstract><trans-abstract xml:lang="en"><p>Introduction (problem statement and relevance). The graphs, logic and game-tree structures methods have been used in mechanics. The purpose of modeling an automatic gearbox with graphs can be versatile, namely: determining the transmission ratio of individual gears, analyzing the speed and acceleration of individual rotating elements.</p><sec><title>The purpose of the study</title><p>The purpose of the study. The article presents the application of decision trees in the analysis of automatic gearboxes modeled with the Hsu graph.</p><p>Methodology and research methods. The paper presents a method of generating game tree structures that allow to change the values of decision parameters in the issues of decision making and knowledge generation. Specifying the rank of importance, in which order you should change individual items to active, allows you to detect the so-called redundant or temporarily redundant components for a given gear currently under consideration.</p><p>Scientific novelty and results. At each stage of optimization, a tree is generated, selecting the optimal decisions. Then, vertices can be added to the tree that represent the optimal responses of the system to changes in arithmetic construction parameters.</p></sec><sec><title>Practical significance</title><p>Practical significance. The most important in this regard will be the selection of the optimal programming environment with the possibility of installing the program in laboratory</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>древовидные схемы логики принятия решений (логические деревья</kwd><kwd>деревья решений)</kwd><kwd>автоматическая коробка передач (АКП)</kwd><kwd>граф Хсю</kwd><kwd>оптимизация</kwd><kwd>компьютерный анализ</kwd><kwd>информационные системы</kwd></kwd-group><kwd-group xml:lang="en"><kwd>decision logical trees</kwd><kwd>automatic transmissions gear-boxes</kwd><kwd>Hsu graph</kwd><kwd>optimization</kwd><kwd>computer analysis</kwd><kwd>information systems</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">Wojnarowski J. Graphs and structural numbers as models of mechanical systems. Silesian University of Technology Publishing House, Gliwice, 1977.</mixed-citation><mixed-citation xml:lang="en">Wojnarowski J. Graphs and structural numbers as models of mechanical systems. Silesian University of Technology Publishing House, Gliwice, 1977.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Buchacz A. The expansion of the synthesized structures of mechanical discrete systems represented by polar graph. Journal of Materials Processing Technology, 2005, vol. 164–165, pp. 1277–1280.</mixed-citation><mixed-citation xml:lang="en">Buchacz A. The expansion of the synthesized structures of mechanical discrete systems represented by polar graph. Journal of Materials Processing Technology, 2005, vol. 164–165, pp. 1277–1280.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Deptuła A., Partyka M.A. Application of game graphs in optimization of dynamic system structures. International Journal of Applied Mechanics and Engineering, 2010, vol. 15, no. 3, pp. 647–656.</mixed-citation><mixed-citation xml:lang="en">Deptuła A., Partyka M.A. Application of game graphs in optimization of dynamic system structures. International Journal of Applied Mechanics and Engineering, 2010, vol. 15, no. 3, pp. 647–656.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Deptuła A., Partyka M.A. Application of dependence graphs and game trees for decision decomposition for machine systems. Journal of Automation, Mobile Robotics &amp; Intelligent Systems, 2011, vol. 5, no. 3, pp. 17–26.</mixed-citation><mixed-citation xml:lang="en">Deptuła A., Partyka M.A. Application of dependence graphs and game trees for decision decomposition for machine systems. Journal of Automation, Mobile Robotics &amp; Intelligent Systems, 2011, vol. 5, no. 3, pp. 17–26.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Drewniak J., Zawiślak S. Synthesis of planetary gears by means of artificial intelligence approach – graph theoretical modeling. Solid State Phenom, 2010, no. 164, pp. 243–248.</mixed-citation><mixed-citation xml:lang="en">Drewniak J., Zawiślak S. Synthesis of planetary gears by means of artificial intelligence approach – graph theoretical modeling. Solid State Phenom, 2010, no. 164, pp. 243–248.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Drewniak J., Zawiślak S. Kinematical and dynamical analysis of closed kinematical chains using graphs and profile equations. PAMM, Proceedings on: Anwendung Mechanik und Mathematik, 2010, vol. 9, no. 1, pp. 547–548.</mixed-citation><mixed-citation xml:lang="en">Drewniak J., Zawiślak S. Kinematical and dynamical analysis of closed kinematical chains using graphs and profile equations. PAMM, Proceedings on: Anwendung Mechanik und Mathematik, 2010, vol. 9, no. 1, pp. 547–548.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Deptuła A., Drewniak J., Partyka M.A. Application of dependence graphs and game trees in analysis of a planetary gear modeled with a contour graph. Machine Dynamics Research, 2017, vol. 41, no. 3, pp. 105–114.</mixed-citation><mixed-citation xml:lang="en">Deptuła A., Drewniak J., Partyka M.A. Application of dependence graphs and game trees in analysis of a planetary gear modeled with a contour graph. Machine Dynamics Research, 2017, vol. 41, no. 3, pp. 105–114.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Deptuła A., Zawiślak S., Partyka M.A. Application of decision logical trees and dependence graphs in the analysis of automatic gearboxes. Buses – Technology. Exploitation. Transport Systems, 2017, no. 12, pp. 808–814.</mixed-citation><mixed-citation xml:lang="en">Deptuła A., Zawiślak S., Partyka M.A. Application of decision logical trees and dependence graphs in the analysis of automatic gearboxes. Buses – Technology. Exploitation. Transport Systems, 2017, no. 12, pp. 808–814.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Chatterjee G., Tsai L.W. Enumeration of EpicyclicType Automatic Transmission Gear Trains. SAE 1994 Trans., Journal of Passenger Cars, Sec., 1994, vol. 103, no. 6, pp. 1415–1426.</mixed-citation><mixed-citation xml:lang="en">Chatterjee G., Tsai L.W. Enumeration of EpicyclicType Automatic Transmission Gear Trains. SAE 1994 Trans., Journal of Passenger Cars, Sec., 1994, vol. 103, no. 6, pp. 1415–1426.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Buchsbaum F., Freudenstein F. Synthesis of Kinematic Structure of Geared Kinematic Chains and other Mechanisms. Journal of Mechanisms, 1970, no. 5, pp. 357–392.</mixed-citation><mixed-citation xml:lang="en">Buchsbaum F., Freudenstein F. Synthesis of Kinematic Structure of Geared Kinematic Chains and other Mechanisms. Journal of Mechanisms, 1970, no. 5, pp. 357–392.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Crossley F.R.E. The Permutation of Kinematic Chains of Eight Members or Less from the Graph-Theoretic Viewpoint. Developments in Theoretical and Applied Mechanics, 1965, no. 2, pp. 467–486.</mixed-citation><mixed-citation xml:lang="en">Crossley F.R.E. The Permutation of Kinematic Chains of Eight Members or Less from the Graph-Theoretic Viewpoint. Developments in Theoretical and Applied Mechanics, 1965, no. 2, pp. 467–486.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Freudenstein F., Dobrjanskyj L. On a Theory for the Type Synthesis of Mechanism. Proceedings of the 11th International Congress of Applied Mechanics, Springer, Berlin, 1965, pp. 420–428.</mixed-citation><mixed-citation xml:lang="en">Freudenstein F., Dobrjanskyj L. On a Theory for the Type Synthesis of Mechanism. Proceedings of the 11th International Congress of Applied Mechanics, Springer, Berlin, 1965, pp. 420–428.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Sohn W., Freudenstein F. An Application of Dual Graphs to the Automatic Generation of the Kinematic Structures of Mechanism. ASME Journal of Mechanisms, Transmissions, and Automation in Design, 1986, vol. 108, no. 3, pp. 392–398.</mixed-citation><mixed-citation xml:lang="en">Sohn W., Freudenstein F. An Application of Dual Graphs to the Automatic Generation of the Kinematic Structures of Mechanism. ASME Journal of Mechanisms, Transmissions, and Automation in Design, 1986, vol. 108, no. 3, pp. 392–398.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Tsai L.W., Lin C.C. The Creation of Non-fractionated Two Degree of Freedom Epicyclic Gear Trains. ASME Journal of Mechanisms, Transmissions and Automation in Design, 1989, vol. 111, no. 4, pp. 524–529.</mixed-citation><mixed-citation xml:lang="en">Tsai L.W., Lin C.C. The Creation of Non-fractionated Two Degree of Freedom Epicyclic Gear Trains. ASME Journal of Mechanisms, Transmissions and Automation in Design, 1989, vol. 111, no. 4, pp. 524–529.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Zawiślak S. The Graph-based Methodology as an Artificial Intelligence Aid for Mechanical Engineering Design. University of Technology and Humanities Publisher, Bielsko-Biała, 2010.</mixed-citation><mixed-citation xml:lang="en">Zawiślak S. The Graph-based Methodology as an Artificial Intelligence Aid for Mechanical Engineering Design. University of Technology and Humanities Publisher, Bielsko-Biała, 2010.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Kron G. Generalized theory of electrical machinery. AIEE Transactions, 49: 666-683, Discussion, ibid., 1930, no. 5, pp. 683–685.</mixed-citation><mixed-citation xml:lang="en">Kron G. Generalized theory of electrical machinery. AIEE Transactions, 49: 666-683, Discussion, ibid., 1930, no. 5, pp. 683–685.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Hsu C.H. Graph notation and kinematic equations of motion of planetary gear trans. International J. of Vehicle Design, 1992, vol. 13, no. 3, pp. 233–241.</mixed-citation><mixed-citation xml:lang="en">Hsu C.H. Graph notation and kinematic equations of motion of planetary gear trans. International J. of Vehicle Design, 1992, vol. 13, no. 3, pp. 233–241.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Hsu C.H., Lam K.T., Lin Y.L. Automatic synthesis of displacement for planetary gear trains. Math., Comput., Modelling, 1994, no. 19, pp. 67–81.</mixed-citation><mixed-citation xml:lang="en">Hsu C.H., Lam K.T., Lin Y.L. Automatic synthesis of displacement for planetary gear trains. Math., Comput., Modelling, 1994, no. 19, pp. 67–81.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Freudenstein F. An application of Boolean algebra to the motion of epicyclic driver. ASME Journal of Engineering for Industry, Ser. B, 1971, no. 93, pp. 176–182.</mixed-citation><mixed-citation xml:lang="en">Freudenstein F. An application of Boolean algebra to the motion of epicyclic driver. ASME Journal of Engineering for Industry, Ser. B, 1971, no. 93, pp. 176–182.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Marghitu D. Kinematic chains and machine components design. Elsevier Amsterdam, San Diego, Academic Press, London, 2005.</mixed-citation><mixed-citation xml:lang="en">Marghitu D. Kinematic chains and machine components design. Elsevier Amsterdam, San Diego, Academic Press, London, 2005.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Kreines M.A. Efficiency and transmit ratio of a gear mechanism. Proceedings of TMM seminar. Academy of Sciences of the USSR, Moscow, 1947, vol. 1., pp. 21–48.</mixed-citation><mixed-citation xml:lang="en">Kreines M.A. Efficiency and transmit ratio of a gear mechanism. Proceedings of TMM seminar. Academy of Sciences of the USSR, Moscow, 1947, vol. 1., pp. 21–48.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Krasnenkov V.I., Vashets A.D. [Designing planetary mechanisms for vehicles]. Moscow, Mashinostroenie Publ., 1986, 272 p. (In Russian)</mixed-citation><mixed-citation xml:lang="en">Krasnenkov V.I., Vashets A.D. [Designing planetary mechanisms for vehicles]. Moscow, Mashinostroenie Publ., 1986, 272 p. (In Russian)</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Ivanov N.G., Naumov V.A., Antonov V.I. et al. Fundamentals of intelligent automatic reclosing of long-distance transmission lines with shunt reactors. Russ. Electr. Engine, no. 90, 558–564 (2019). https://doi.org/10.3103/S1068371219080066.</mixed-citation><mixed-citation xml:lang="en">Ivanov N.G., Naumov V.A., Antonov V.I. et al. Fundamentals of intelligent automatic reclosing of long-distance transmission lines with shunt reactors. Russ. Electr. Engine, no. 90, 558–564 (2019). https://doi.org/10.3103/S1068371219080066.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Gibson D., Kramer S. Symbolic notation and kinematic equations of motion of the twenty-two basic spur planetary gear trains. J Mech Des, 1984, no. 106, pp. 333–340.</mixed-citation><mixed-citation xml:lang="en">Gibson D., Kramer S. Symbolic notation and kinematic equations of motion of the twenty-two basic spur planetary gear trains. J Mech Des, 1984, no. 106, pp. 333–340.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Tsai L.W. An application of the linkage characteristic polynomial to the topological synthesis of epicyclic gear trains. J Mech Des, 1987, no. 109, pp. 329–336.</mixed-citation><mixed-citation xml:lang="en">Tsai L.W. An application of the linkage characteristic polynomial to the topological synthesis of epicyclic gear trains. J Mech Des, 1987, no. 109, pp. 329–336.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Yan H.S., Harary F. On the maximum value of the maximum degree of kinematic chains. J Mech Des, 1987, no. 109, pp. 487–490.</mixed-citation><mixed-citation xml:lang="en">Yan H.S., Harary F. On the maximum value of the maximum degree of kinematic chains. J Mech Des, 1987, no. 109, pp. 487–490.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Tsai L.W. The kinematics of spatial robotic bevel gear trains. Int J Robot Autom, 1988, no. 4, pp. 150–156.</mixed-citation><mixed-citation xml:lang="en">Tsai L.W. The kinematics of spatial robotic bevel gear trains. Int J Robot Autom, 1988, no. 4, pp. 150–156.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Del Castillo J.M. Enumeration of 1-dof planetary gear train graphs based on functional constraints. J Mech Des, 2002, no. 124, pp. 723–732.</mixed-citation><mixed-citation xml:lang="en">Del Castillo J.M. Enumeration of 1-dof planetary gear train graphs based on functional constraints. J Mech Des, 2002, no. 124, pp. 723–732.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Salgado D.R., Del Castillo J.M. Analysis of the transmission ratio and efficiency ranges of the four-, five-, and six-link planetary gear trains. Mech Mach Theory, 2014, no. 73, pp. 218–243.</mixed-citation><mixed-citation xml:lang="en">Salgado D.R., Del Castillo J.M. Analysis of the transmission ratio and efficiency ranges of the four-, five-, and six-link planetary gear trains. Mech Mach Theory, 2014, no. 73, pp. 218–243.</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Li X., Schmidt L. Grammar-based designer assistance tool for epicyclic gear trains. J Mech Des, 2004, no. 126, pp. 895–902.</mixed-citation><mixed-citation xml:lang="en">Li X., Schmidt L. Grammar-based designer assistance tool for epicyclic gear trains. J Mech Des, 2004, no. 126, pp. 895–902.</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Rao A.C., Deshmukh P.B. Computer aided structural synthesis of planar kinematic chains obviating the test for isomorphism. Mech Mach Theory, 2001, no. 36, pp. 489–506.</mixed-citation><mixed-citation xml:lang="en">Rao A.C., Deshmukh P.B. Computer aided structural synthesis of planar kinematic chains obviating the test for isomorphism. Mech Mach Theory, 2001, no. 36, pp. 489–506.</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Ding H.F., Huang Z., Cao Y. The topological graphs creation automatically of kinematic chains and atlas database establishment. Chin J Mech Eng, 2006, no. 42, pp. 32–36.</mixed-citation><mixed-citation xml:lang="en">Ding H.F., Huang Z., Cao Y. The topological graphs creation automatically of kinematic chains and atlas database establishment. Chin J Mech Eng, 2006, no. 42, pp. 32–36.</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Nelson C.A., Cipra R.J. Simplified kinematic analysis of bevel epicyclic gear trains with application to powerflow and efficiency analyses. J Mech Des, 2005, no. 127, pp. 278–286.</mixed-citation><mixed-citation xml:lang="en">Nelson C.A., Cipra R.J. Simplified kinematic analysis of bevel epicyclic gear trains with application to powerflow and efficiency analyses. J Mech Des, 2005, no. 127, pp. 278–286.</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Wojnarowski J., Kopec J., Zawislak S. Gears and graphs. J Theor Appl Mech, 2006, no. 44, pp. 139–162.</mixed-citation><mixed-citation xml:lang="en">Wojnarowski J., Kopec J., Zawislak S. Gears and graphs. J Theor Appl Mech, 2006, no. 44, pp. 139–162.</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Tsai M.C., Huang C.C., Lin B.J. Kinematic analysis of planetary gear systems using block diagrams. J Mech Des, 2010, no. 132, pp. 065001–1-065001-10.</mixed-citation><mixed-citation xml:lang="en">Tsai M.C., Huang C.C., Lin B.J. Kinematic analysis of planetary gear systems using block diagrams. J Mech Des, 2010, no. 132, pp. 065001–1-065001-10.</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Chen C. Power flow and efficiency analysis of epicyclic gear transmission with split power. Mech Mach Theory, 2013, no. 59, pp. 96–106.</mixed-citation><mixed-citation xml:lang="en">Chen C. Power flow and efficiency analysis of epicyclic gear transmission with split power. Mech Mach Theory, 2013, no. 59, pp. 96–106.</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">Deptuła A., Partyka M.A. Application of graphic decision structures in design and management methodology. Volume 1. Parametric quarterly graphs. Studies and Monographs, Issue No. 482, Publishing House of the Opole University of Technology, ISBN: 973-83-66033-10-8, Opole, 2018.</mixed-citation><mixed-citation xml:lang="en">Deptuła A., Partyka M.A. Application of graphic decision structures in design and management methodology. Volume 1. Parametric quarterly graphs. Studies and Monographs, Issue No. 482, Publishing House of the Opole University of Technology, ISBN: 973-83-66033-10-8, Opole, 2018.</mixed-citation></citation-alternatives></ref><ref id="cit38"><label>38</label><citation-alternatives><mixed-citation xml:lang="ru">Partyka M.A. The Quine–Mc Cluskey algorithm for minimizing individual partial multivalent logic functions. St. and Monogr., Issue No. 109, Publishing House of the Opole University of Technology, Opole, 1999.</mixed-citation><mixed-citation xml:lang="en">Partyka M.A. The Quine–Mc Cluskey algorithm for minimizing individual partial multivalent logic functions. St. and Monogr., Issue No. 109, Publishing House of the Opole University of Technology, Opole, 1999.</mixed-citation></citation-alternatives></ref><ref id="cit39"><label>39</label><citation-alternatives><mixed-citation xml:lang="ru">Hsu C.H. An analysis methodology for the kinematic synthesis of epicyclic gear mechanisms. ASME Journal of Mechanical Design, 2002, no. 124, pp. 574–576.</mixed-citation><mixed-citation xml:lang="en">Hsu C.H. An analysis methodology for the kinematic synthesis of epicyclic gear mechanisms. ASME Journal of Mechanical Design, 2002, no. 124, pp. 574–576.</mixed-citation></citation-alternatives></ref><ref id="cit40"><label>40</label><citation-alternatives><mixed-citation xml:lang="ru">Audi. Available at: http://s1.blomedia.pl/auto kult.pl/images/2011/03/DSG-Audi.jpg (accessed 20 August 2019).</mixed-citation><mixed-citation xml:lang="en">Audi. Available at: http://s1.blomedia.pl/auto kult.pl/images/2011/03/DSG-Audi.jpg (accessed 20 August 2019).</mixed-citation></citation-alternatives></ref><ref id="cit41"><label>41</label><citation-alternatives><mixed-citation xml:lang="ru">Automatyczna skrzynia biegów. Available at: www.autoscout24.pl/porady/t echniczne/skrzynia-biegow/automatyczna-skrzynia-biegow/ (accessed 20 August 2019).</mixed-citation><mixed-citation xml:lang="en">Automatyczna skrzynia biegów. Available at: www.autoscout24.pl/porady/t echniczne/skrzynia-biegow/automatyczna-skrzynia-biegow/ (accessed 20 August 2019).</mixed-citation></citation-alternatives></ref><ref id="cit42"><label>42</label><citation-alternatives><mixed-citation xml:lang="ru">Deptula A. Application of graphic decision structures in the design and management methodology. T. 3, Graphical and decision-making graphs of multivalent logical trees in the analysis of planetary gears, Studies and Monographs, Issue No. 539, Publishing House of the Opole University of Technology, ISBN 978-83-66033-79-5, Opole 2020. 238 p.</mixed-citation><mixed-citation xml:lang="en">Deptula A. Application of graphic decision structures in the design and management methodology. T. 3, Graphical and decision-making graphs of multivalent logical trees in the analysis of planetary gears, Studies and Monographs, Issue No. 539, Publishing House of the Opole University of Technology, ISBN 978-83-66033-79-5, Opole 2020. 238 p.</mixed-citation></citation-alternatives></ref><ref id="cit43"><label>43</label><citation-alternatives><mixed-citation xml:lang="ru">Rao A.C., Deshmukh P.B. Computer aided structural synthesis of planar kinematic chains obviating the test for isomorphism. Mech Mach Theory, 2003, no. 36, pp. 489–506.</mixed-citation><mixed-citation xml:lang="en">Rao A.C., Deshmukh P.B. Computer aided structural synthesis of planar kinematic chains obviating the test for isomorphism. Mech Mach Theory, 2003, no. 36, pp. 489–506.</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>
